Greatest Common Factor of 88/898, 540/279, 564/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/898, 540/279, 564/276

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 88/898,540/279,564/276

Given fractions are 88/898,540/279,564/276

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 88,540,564

Greatest Common Factor of Numerators i.e. GCF of 88,540,564 is 4 .

LCM of Denominators means LCM of 898,279,276 as per the given fractions.

LCM of 898,279,276 is 11524932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,540,564

GCF of Fractions 88/898,540/279,564/276 is 4/11524932

2 88, 540, 564
2 44, 270, 282
22, 135, 141

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 88,540,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,540,564 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 88,540,564 . The biggest common factor number is the GCF number.
So the greatest common factor 88,540,564 is 4.

Lets's calculate LCM of 898,279,276

2 898, 279, 276
3 449, 279, 138
449, 93, 46

∴ So the LCM of the given numbers is 2 x 3 x 449 x 93 x 46 = 11524932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11524932

Therefore, the GCF of Fractions 88/898,540/279,564/276 is 4/11524932

Least Common Multiple of 898,279,276 with GCF Formula

Least Common Multiple of 898,279,276 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 898,279,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,279,276) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(898,279,276) x common factors =1 x 6 = 6

LCM(898,279,276) = ( 898 × 279 × 276 ) / 6

LCM(898,279,276) = 69149592 / 6

LCM(898,279,276) = 11524932


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 88/898, 540/279, 564/276

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 88/898, 540/279, 564/276?

Answer: GCF of Numerators as per given numbers 88/898, 540/279, 564/276 is

GCF of Numerators i.e. for 88,540,564 is 4

LCM of denominators i.e. for 898,279,276 is 11524932.

Thus, GCF of Fractions is 4/11524932.Finally, GCF of Fractions for 88/898, 540/279, 564/276 is 4/11524932.