Greatest Common Factor of 610/53, 100/74, 866/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/53, 100/74, 866/99

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 610/53,100/74,866/99

Given fractions are 610/53,100/74,866/99

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 610,100,866

Greatest Common Factor of Numerators i.e. GCF of 610,100,866 is 2 .

LCM of Denominators means LCM of 53,74,99 as per the given fractions.

LCM of 53,74,99 is 388278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,100,866

GCF of Fractions 610/53,100/74,866/99 is 2/388278

2 610, 100, 866
305, 50, 433

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

Greatest Common Factor of 610,100,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,100,866 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 610,100,866 . The biggest common factor number is the GCF number.
So the greatest common factor 610,100,866 is 2.

Lets's calculate LCM of 53,74,99

Given numbers has no common factors except 1. So, there LCM is their product i.e 388278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388278

Therefore, the GCF of Fractions 610/53,100/74,866/99 is 2/388278

Least Common Multiple of 53,74,99 with GCF Formula

Least Common Multiple of 53,74,99 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 53,74,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,74,99) = 1

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

GCF(53,74,99) x common factors =1 x 1 = 1

LCM(53,74,99) = ( 53 × 74 × 99 ) / 1

LCM(53,74,99) = 388278 / 1

LCM(53,74,99) = 388278


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 610/53, 100/74, 866/99

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 610/53, 100/74, 866/99?

Answer: GCF of Numerators as per given numbers 610/53, 100/74, 866/99 is

GCF of Numerators i.e. for 610,100,866 is 2

LCM of denominators i.e. for 53,74,99 is 388278.

Thus, GCF of Fractions is 2/388278.Finally, GCF of Fractions for 610/53, 100/74, 866/99 is 2/388278.