Greatest Common Factor of 1552/84, 5142/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1552/84, 5142/877

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 1552/84,5142/877

Given fractions are 1552/84,5142/877

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 1552,5142

Greatest Common Factor of Numerators i.e. GCF of 1552,5142 is 2 .

LCM of Denominators means LCM of 84,877 as per the given fractions.

LCM of 84,877 is 73668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1552,5142

GCF of Fractions 1552/84,5142/877 is 2/73668

2 1552, 5142
776, 2571

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

Greatest Common Factor of 1552,5142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1552,5142 By Matching Biggest Common Factor Method

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors 1552,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 1552,5142 is 2.

Lets's calculate LCM of 84,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 73668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73668

Therefore, the GCF of Fractions 1552/84,5142/877 is 2/73668

Least Common Multiple of 84,877 with GCF Formula

Least Common Multiple of 84,877 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 84,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,877) = 1

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

GCF(84,877) x common factors =1 x 1 = 1

LCM(84,877) = ( 84 × 877 ) / 1

LCM(84,877) = 73668 / 1

LCM(84,877) = 73668


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 1552/84, 5142/877

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 1552/84, 5142/877?

Answer: GCF of Numerators as per given numbers 1552/84, 5142/877 is

GCF of Numerators i.e. for 1552,5142 is 2

LCM of denominators i.e. for 84,877 is 73668.

Thus, GCF of Fractions is 2/73668.Finally, GCF of Fractions for 1552/84, 5142/877 is 2/73668.