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 8152/558, 2320/4747

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 8152/558, 2320/4747 i.e 8/2648826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8152/558, 2320/4747.

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 8152/558,2320/4747?

Given fractions are 8152/558,2320/4747

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 8152/558,2320/4747, numerators are 8152,2320

Denominators are 558,4747

The GCF of 8152,2320 is 8 .

LCM of 558,4747 is 2648826.

The greatest common factor of 8152/558,2320/4747 = [GCF of 8152,2320]/[LCM of 558,4747]= 8/2648826

Therefore, the GCF of 8152/558,2320/4747 is 8/2648826.

Greatest Common Factor of 8152,2320

To find the highest common factor of 8152,2320, we have to find the factors of both numbers and list the highest common factor.

The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152

The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

The HCF of 8152,2320 is 8.

Lets's calculate GCF of 8152,2320

Greatest Common Factor (GCF) of 8152,2320 By Common Division

2 8152, 2320
2 4076, 1160
2 2038, 580
1019, 290

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8152,2320 By Matching Biggest Common Factor Method

Greatest Common Factor of 8152,2320 By Matching Biggest Common Factor Method

Now, list down the factors of 8152

:

1,2,4,8,1019,2038,4076,8152

Now, list down the factors of 2320

:

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 8152,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 8152,2320 is 8.


Lets's calculate LCM of 558,4747

Lowest Common Multiple of 558,4747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2648826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2648826

Therefore, the GCF of Fractions 8152/558,2320/4747 is 8/2648826

Least Common Multiple of 558,4747 with GCF Formula

Least Common Multiple of 558,4747 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 558,4747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,4747) = 1

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

GCF(558,4747) x common factors =1 x 1 = 1

LCM(558,4747) = ( 558 × 4747 ) / 1

LCM(558,4747) = 2648826 / 1

LCM(558,4747) = 2648826


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8152/558, 2320/4747

1. What is the HCF of 8152,2320?

The HCF of 8152,2320 is 8

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 8152/558, 2320/4747?

Answer: GCF of Numerators as per given numbers 8152/558, 2320/4747 is

GCF of Numerators i.e. for 8152,2320 is 8

LCM of denominators i.e. for 558,4747 is 2648826.

Thus, GCF of Fractions is 8/2648826.Finally, GCF of Fractions for 8152/558, 2320/4747 is 8/2648826.