Greatest Common Factor of 6932/107, 1448/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6932/107, 1448/554

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 6932/107,1448/554

Given fractions are 6932/107,1448/554

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 6932,1448

Greatest Common Factor of Numerators i.e. GCF of 6932,1448 is 4 .

LCM of Denominators means LCM of 107,554 as per the given fractions.

LCM of 107,554 is 59278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6932,1448

GCF of Fractions 6932/107,1448/554 is 4/59278

2 6932, 1448
2 3466, 724
1733, 362

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6932,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 6932,1448 By Matching Biggest Common Factor Method

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1,2,4,1733,3466,6932

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 6932,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 6932,1448 is 4.

Lets's calculate LCM of 107,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 59278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59278

Therefore, the GCF of Fractions 6932/107,1448/554 is 4/59278

Least Common Multiple of 107,554 with GCF Formula

Least Common Multiple of 107,554 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 107,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,554) = 1

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

GCF(107,554) x common factors =1 x 1 = 1

LCM(107,554) = ( 107 × 554 ) / 1

LCM(107,554) = 59278 / 1

LCM(107,554) = 59278


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 6932/107, 1448/554

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 6932/107, 1448/554?

Answer: GCF of Numerators as per given numbers 6932/107, 1448/554 is

GCF of Numerators i.e. for 6932,1448 is 4

LCM of denominators i.e. for 107,554 is 59278.

Thus, GCF of Fractions is 4/59278.Finally, GCF of Fractions for 6932/107, 1448/554 is 4/59278.