LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 468/525, 8360/7021

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 468/525, 8360/7021 i.e 4/526575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/525, 8360/7021.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 468/525,8360/7021?

Given fractions are 468/525,8360/7021

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 468/525,8360/7021, numerators are 468,8360

Denominators are 525,7021

The GCF of 468,8360 is 4 .

LCM of 525,7021 is 526575.

The greatest common factor of 468/525,8360/7021 = [GCF of 468,8360]/[LCM of 525,7021]= 4/526575

Therefore, the GCF of 468/525,8360/7021 is 4/526575.

Greatest Common Factor of 468,8360

To find the highest common factor of 468,8360, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360

The HCF of 468,8360 is 4.

Lets's calculate GCF of 468,8360

Greatest Common Factor (GCF) of 468,8360 By Common Division

2 468, 8360
2 234, 4180
117, 2090

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 468,8360 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8360 By Matching Biggest Common Factor Method

Now, list down the factors of 468

:

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 8360

:

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Greatest Common Factor

We found the factors 468,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8360 is 4.


Lets's calculate LCM of 525,7021

Lowest Common Multiple of 525,7021 using Common Division

7 525, 7021
75, 1003

∴ So the LCM of the given numbers is 7 x 75 x 1003 = 526575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/526575

Therefore, the GCF of Fractions 468/525,8360/7021 is 4/526575

Least Common Multiple of 525,7021 with GCF Formula

Least Common Multiple of 525,7021 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 525,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,7021) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(525,7021) x common factors =7 x 1 = 7

LCM(525,7021) = ( 525 × 7021 ) / 7

LCM(525,7021) = 3686025 / 7

LCM(525,7021) = 526575


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 468/525, 8360/7021

1. What is the HCF of 468,8360?

The HCF of 468,8360 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 468/525, 8360/7021?

Answer: GCF of Numerators as per given numbers 468/525, 8360/7021 is

GCF of Numerators i.e. for 468,8360 is 4

LCM of denominators i.e. for 525,7021 is 526575.

Thus, GCF of Fractions is 4/526575.Finally, GCF of Fractions for 468/525, 8360/7021 is 4/526575.