Greatest Common Factor of 4656/357, 1738/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4656/357, 1738/748

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 4656/357,1738/748

Given fractions are 4656/357,1738/748

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 4656,1738

Greatest Common Factor of Numerators i.e. GCF of 4656,1738 is 2 .

LCM of Denominators means LCM of 357,748 as per the given fractions.

LCM of 357,748 is 15708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4656,1738

GCF of Fractions 4656/357,1738/748 is 2/15708

2 4656, 1738
2328, 869

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

Greatest Common Factor of 4656,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 4656,1738 By Matching Biggest Common Factor Method

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 4656,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,1738 is 2.

Lets's calculate LCM of 357,748

17 357, 748
21, 44

∴ So the LCM of the given numbers is 17 x 21 x 44 = 15708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15708

Therefore, the GCF of Fractions 4656/357,1738/748 is 2/15708

Least Common Multiple of 357,748 with GCF Formula

Least Common Multiple of 357,748 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 357,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,748) = 17

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

GCF(357,748) x common factors =17 x 1 = 17

LCM(357,748) = ( 357 × 748 ) / 17

LCM(357,748) = 267036 / 17

LCM(357,748) = 15708


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 4656/357, 1738/748

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 4656/357, 1738/748?

Answer: GCF of Numerators as per given numbers 4656/357, 1738/748 is

GCF of Numerators i.e. for 4656,1738 is 2

LCM of denominators i.e. for 357,748 is 15708.

Thus, GCF of Fractions is 2/15708.Finally, GCF of Fractions for 4656/357, 1738/748 is 2/15708.