Greatest Common Factor of 828/72, 988/97, 283/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/72, 988/97, 283/56

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 828/72,988/97,283/56

Given fractions are 828/72,988/97,283/56

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 828,988,283

Greatest Common Factor of Numerators i.e. GCF of 828,988,283 is 1 .

LCM of Denominators means LCM of 72,97,56 as per the given fractions.

LCM of 72,97,56 is 48888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,988,283

GCF of Fractions 828/72,988/97,283/56 is 1/48888

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

Greatest Common Factor of 828,988,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,988,283 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 828,988,283 . The biggest common factor number is the GCF number.
So the greatest common factor 828,988,283 is 1.

Lets's calculate LCM of 72,97,56

2 72, 97, 56
2 36, 97, 28
2 18, 97, 14
9, 97, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 97 x 7 = 48888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48888

Therefore, the GCF of Fractions 828/72,988/97,283/56 is 1/48888

Least Common Multiple of 72,97,56 with GCF Formula

Least Common Multiple of 72,97,56 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 72,97,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,97,56) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,97,56) x common factors =1 x 8 = 8

LCM(72,97,56) = ( 72 × 97 × 56 ) / 8

LCM(72,97,56) = 391104 / 8

LCM(72,97,56) = 48888


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 828/72, 988/97, 283/56

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 828/72, 988/97, 283/56?

Answer: GCF of Numerators as per given numbers 828/72, 988/97, 283/56 is

GCF of Numerators i.e. for 828,988,283 is 1

LCM of denominators i.e. for 72,97,56 is 48888.

Thus, GCF of Fractions is 1/48888.Finally, GCF of Fractions for 828/72, 988/97, 283/56 is 1/48888.