Greatest Common Factor of 1532/822, 2077/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1532/822, 2077/616

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 1532/822,2077/616

Given fractions are 1532/822,2077/616

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 1532,2077

Greatest Common Factor of Numerators i.e. GCF of 1532,2077 is 1 .

LCM of Denominators means LCM of 822,616 as per the given fractions.

LCM of 822,616 is 253176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1532,2077

GCF of Fractions 1532/822,2077/616 is 1/253176

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

Greatest Common Factor of 1532,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 1532,2077 By Matching Biggest Common Factor Method

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1,31,67,2077

Greatest Common Factor

We found the factors 1532,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,2077 is 1.

Lets's calculate LCM of 822,616

2 822, 616
411, 308

∴ So the LCM of the given numbers is 2 x 411 x 308 = 253176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253176

Therefore, the GCF of Fractions 1532/822,2077/616 is 1/253176

Least Common Multiple of 822,616 with GCF Formula

Least Common Multiple of 822,616 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 822,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,616) = 2

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

GCF(822,616) x common factors =2 x 1 = 2

LCM(822,616) = ( 822 × 616 ) / 2

LCM(822,616) = 506352 / 2

LCM(822,616) = 253176


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 1532/822, 2077/616

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 1532/822, 2077/616?

Answer: GCF of Numerators as per given numbers 1532/822, 2077/616 is

GCF of Numerators i.e. for 1532,2077 is 1

LCM of denominators i.e. for 822,616 is 253176.

Thus, GCF of Fractions is 1/253176.Finally, GCF of Fractions for 1532/822, 2077/616 is 1/253176.