Greatest Common Factor of 614/76, 310/53, 100/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 614/76, 310/53, 100/267

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 614/76,310/53,100/267

Given fractions are 614/76,310/53,100/267

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 614,310,100

Greatest Common Factor of Numerators i.e. GCF of 614,310,100 is 2 .

LCM of Denominators means LCM of 76,53,267 as per the given fractions.

LCM of 76,53,267 is 1075476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 614,310,100

GCF of Fractions 614/76,310/53,100/267 is 2/1075476

2 614, 310, 100
307, 155, 50

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

Greatest Common Factor of 614,310,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,310,100 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

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

Greatest Common Factor

We found the factors 614,310,100 . The biggest common factor number is the GCF number.
So the greatest common factor 614,310,100 is 2.

Lets's calculate LCM of 76,53,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 1075476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1075476

Therefore, the GCF of Fractions 614/76,310/53,100/267 is 2/1075476

Least Common Multiple of 76,53,267 with GCF Formula

Least Common Multiple of 76,53,267 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 76,53,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,53,267) = 1

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

GCF(76,53,267) x common factors =1 x 1 = 1

LCM(76,53,267) = ( 76 × 53 × 267 ) / 1

LCM(76,53,267) = 1075476 / 1

LCM(76,53,267) = 1075476


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 614/76, 310/53, 100/267

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 614/76, 310/53, 100/267?

Answer: GCF of Numerators as per given numbers 614/76, 310/53, 100/267 is

GCF of Numerators i.e. for 614,310,100 is 2

LCM of denominators i.e. for 76,53,267 is 1075476.

Thus, GCF of Fractions is 2/1075476.Finally, GCF of Fractions for 614/76, 310/53, 100/267 is 2/1075476.