Greatest Common Factor of 5119/85, 5592/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5119/85, 5592/701

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 5119/85,5592/701

Given fractions are 5119/85,5592/701

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 5119,5592

Greatest Common Factor of Numerators i.e. GCF of 5119,5592 is 1 .

LCM of Denominators means LCM of 85,701 as per the given fractions.

LCM of 85,701 is 59585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5119,5592

GCF of Fractions 5119/85,5592/701 is 1/59585

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

Greatest Common Factor of 5119,5592 By Matching Biggest Common Factor Method

Greatest Common Factor of 5119,5592 By Matching Biggest Common Factor Method

Factors of 5119

List of positive integer factors of 5119 that divides 5119 without a remainder.

1,5119

Factors of 5592

List of positive integer factors of 5592 that divides 5592 without a remainder.

1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592

Greatest Common Factor

We found the factors 5119,5592 . The biggest common factor number is the GCF number.
So the greatest common factor 5119,5592 is 1.

Lets's calculate LCM of 85,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 59585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59585

Therefore, the GCF of Fractions 5119/85,5592/701 is 1/59585

Least Common Multiple of 85,701 with GCF Formula

Least Common Multiple of 85,701 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 85,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,701) = 1

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

GCF(85,701) x common factors =1 x 1 = 1

LCM(85,701) = ( 85 × 701 ) / 1

LCM(85,701) = 59585 / 1

LCM(85,701) = 59585


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 5119/85, 5592/701

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 5119/85, 5592/701?

Answer: GCF of Numerators as per given numbers 5119/85, 5592/701 is

GCF of Numerators i.e. for 5119,5592 is 1

LCM of denominators i.e. for 85,701 is 59585.

Thus, GCF of Fractions is 1/59585.Finally, GCF of Fractions for 5119/85, 5592/701 is 1/59585.