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 507/152, 835/440

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 507/152, 835/440 i.e 1/8360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/152, 835/440.

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 507/152,835/440?

Given fractions are 507/152,835/440

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 507/152,835/440, numerators are 507,835

Denominators are 152,440

The GCF of 507,835 is 1 .

LCM of 152,440 is 8360.

The greatest common factor of 507/152,835/440 = [GCF of 507,835]/[LCM of 152,440]= 1/8360

Therefore, the GCF of 507/152,835/440 is 1/8360.

Greatest Common Factor of 507,835

To find the highest common factor of 507,835, we have to find the factors of both numbers and list the highest common factor.

The factors of 507 are 1, 3, 13, 39, 169, 507

The factors of 835 are 1, 5, 167, 835

The HCF of 507,835 is 1.

Lets's calculate GCF of 507,835

Greatest Common Factor (GCF) of 507,835 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 507,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,835 By Matching Biggest Common Factor Method

Now, list down the factors of 507

:

1,3,13,39,169,507

Now, list down the factors of 835

:

1,5,167,835

Greatest Common Factor

We found the factors 507,835 . The biggest common factor number is the GCF number.
So the greatest common factor 507,835 is 1.

Lets's calculate LCM of 152,440

Lowest Common Multiple of 152,440 using Common Division

2 152, 440
2 76, 220
2 38, 110
19, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 55 = 8360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8360

Therefore, the GCF of Fractions 507/152,835/440 is 1/8360

Least Common Multiple of 152,440 with GCF Formula

Least Common Multiple of 152,440 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 152,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,440) = 8

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

GCF(152,440) x common factors =8 x 1 = 8

LCM(152,440) = ( 152 × 440 ) / 8

LCM(152,440) = 66880 / 8

LCM(152,440) = 8360


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 507/152, 835/440

1. What is the HCF of 507,835?

The HCF of 507,835 is 1

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 507/152, 835/440?

Answer: GCF of Numerators as per given numbers 507/152, 835/440 is

GCF of Numerators i.e. for 507,835 is 1

LCM of denominators i.e. for 152,440 is 8360.

Thus, GCF of Fractions is 1/8360.Finally, GCF of Fractions for 507/152, 835/440 is 1/8360.