Greatest Common Factor of 4/64, 82/43, 32/346, 980/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/64, 82/43, 32/346, 980/562

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 4/64,82/43,32/346,980/562

Given fractions are 4/64,82/43,32/346,980/562

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 4,82,32,980

Greatest Common Factor of Numerators i.e. GCF of 4,82,32,980 is 2 .

LCM of Denominators means LCM of 64,43,346,562 as per the given fractions.

LCM of 64,43,346,562 is 133782976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,82,32,980

GCF of Fractions 4/64,82/43,32/346,980/562 is 2/133782976

2 4, 82, 32, 980
2, 41, 16, 490

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

Greatest Common Factor of 4,82,32,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,82,32,980 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 4,82,32,980 . The biggest common factor number is the GCF number.
So the greatest common factor 4,82,32,980 is 2.

Lets's calculate LCM of 64,43,346,562

2 64, 43, 346, 562
32, 43, 173, 281

∴ So the LCM of the given numbers is 2 x 32 x 43 x 173 x 281 = 133782976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133782976

Therefore, the GCF of Fractions 4/64,82/43,32/346,980/562 is 2/133782976

Least Common Multiple of 64,43,346,562 with GCF Formula

Least Common Multiple of 64,43,346,562 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 64,43,346,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,43,346,562) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,43,346,562) x common factors =1 x 4 = 4

LCM(64,43,346,562) = ( 64 × 43 × 346 × 562 ) / 4

LCM(64,43,346,562) = 535131904 / 4

LCM(64,43,346,562) = 133782976


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 4/64, 82/43, 32/346, 980/562

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 4/64, 82/43, 32/346, 980/562?

Answer: GCF of Numerators as per given numbers 4/64, 82/43, 32/346, 980/562 is

GCF of Numerators i.e. for 4,82,32,980 is 2

LCM of denominators i.e. for 64,43,346,562 is 133782976.

Thus, GCF of Fractions is 2/133782976.Finally, GCF of Fractions for 4/64, 82/43, 32/346, 980/562 is 2/133782976.