Greatest Common Factor of 5457/67, 3199/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5457/67, 3199/948

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 5457/67,3199/948

Given fractions are 5457/67,3199/948

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 5457,3199

Greatest Common Factor of Numerators i.e. GCF of 5457,3199 is 1 .

LCM of Denominators means LCM of 67,948 as per the given fractions.

LCM of 67,948 is 63516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5457,3199

GCF of Fractions 5457/67,3199/948 is 1/63516

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

Greatest Common Factor of 5457,3199 By Matching Biggest Common Factor Method

Greatest Common Factor of 5457,3199 By Matching Biggest Common Factor Method

Factors of 5457

List of positive integer factors of 5457 that divides 5457 without a remainder.

1,3,17,51,107,321,1819,5457

Factors of 3199

List of positive integer factors of 3199 that divides 3199 without a remainder.

1,7,457,3199

Greatest Common Factor

We found the factors 5457,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 5457,3199 is 1.

Lets's calculate LCM of 67,948

Given numbers has no common factors except 1. So, there LCM is their product i.e 63516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63516

Therefore, the GCF of Fractions 5457/67,3199/948 is 1/63516

Least Common Multiple of 67,948 with GCF Formula

Least Common Multiple of 67,948 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 67,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,948) = 1

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

GCF(67,948) x common factors =1 x 1 = 1

LCM(67,948) = ( 67 × 948 ) / 1

LCM(67,948) = 63516 / 1

LCM(67,948) = 63516


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 5457/67, 3199/948

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 5457/67, 3199/948?

Answer: GCF of Numerators as per given numbers 5457/67, 3199/948 is

GCF of Numerators i.e. for 5457,3199 is 1

LCM of denominators i.e. for 67,948 is 63516.

Thus, GCF of Fractions is 1/63516.Finally, GCF of Fractions for 5457/67, 3199/948 is 1/63516.