Greatest Common Factor of 1504/852, 1736/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1504/852, 1736/970

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 1504/852,1736/970

Given fractions are 1504/852,1736/970

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1504,1736

Greatest Common Factor of Numerators i.e. GCF of 1504,1736 is 8 .

LCM of Denominators means LCM of 852,970 as per the given fractions.

LCM of 852,970 is 413220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1504,1736

GCF of Fractions 1504/852,1736/970 is 8/413220

2 1504, 1736
2 752, 868
2 376, 434
188, 217

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

Greatest Common Factor of 1504,1736 By Matching Biggest Common Factor Method

Greatest Common Factor of 1504,1736 By Matching Biggest Common Factor Method

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736

Greatest Common Factor

We found the factors 1504,1736 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,1736 is 8.

Lets's calculate LCM of 852,970

2 852, 970
426, 485

∴ So the LCM of the given numbers is 2 x 426 x 485 = 413220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/413220

Therefore, the GCF of Fractions 1504/852,1736/970 is 8/413220

Least Common Multiple of 852,970 with GCF Formula

Least Common Multiple of 852,970 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 852,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,970) = 2

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

GCF(852,970) x common factors =2 x 1 = 2

LCM(852,970) = ( 852 × 970 ) / 2

LCM(852,970) = 826440 / 2

LCM(852,970) = 413220


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1504/852, 1736/970

1. 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.

2. What is the GCF of Fractions for 1504/852, 1736/970?

Answer: GCF of Numerators as per given numbers 1504/852, 1736/970 is

GCF of Numerators i.e. for 1504,1736 is 8

LCM of denominators i.e. for 852,970 is 413220.

Thus, GCF of Fractions is 8/413220.Finally, GCF of Fractions for 1504/852, 1736/970 is 8/413220.