Greatest Common Factor of 3026/320, 6137/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3026/320, 6137/574

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 3026/320,6137/574

Given fractions are 3026/320,6137/574

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 3026,6137

Greatest Common Factor of Numerators i.e. GCF of 3026,6137 is 17 .

LCM of Denominators means LCM of 320,574 as per the given fractions.

LCM of 320,574 is 91840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3026,6137

GCF of Fractions 3026/320,6137/574 is 17/91840

17 3026, 6137
178, 361

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 3026,6137 By Matching Biggest Common Factor Method

Greatest Common Factor of 3026,6137 By Matching Biggest Common Factor Method

Factors of 3026

List of positive integer factors of 3026 that divides 3026 without a remainder.

1,2,17,34,89,178,1513,3026

Factors of 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1,17,19,323,361,6137

Greatest Common Factor

We found the factors 3026,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 3026,6137 is 17.

Lets's calculate LCM of 320,574

2 320, 574
160, 287

∴ So the LCM of the given numbers is 2 x 160 x 287 = 91840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/91840

Therefore, the GCF of Fractions 3026/320,6137/574 is 17/91840

Least Common Multiple of 320,574 with GCF Formula

Least Common Multiple of 320,574 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 320,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,574) = 2

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

GCF(320,574) x common factors =2 x 1 = 2

LCM(320,574) = ( 320 × 574 ) / 2

LCM(320,574) = 183680 / 2

LCM(320,574) = 91840


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 3026/320, 6137/574

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 3026/320, 6137/574?

Answer: GCF of Numerators as per given numbers 3026/320, 6137/574 is

GCF of Numerators i.e. for 3026,6137 is 17

LCM of denominators i.e. for 320,574 is 91840.

Thus, GCF of Fractions is 17/91840.Finally, GCF of Fractions for 3026/320, 6137/574 is 17/91840.