Greatest Common Factor of 614/24, 883/98, 531/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 614/24, 883/98, 531/365

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 614/24,883/98,531/365

Given fractions are 614/24,883/98,531/365

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 614,883,531

Greatest Common Factor of Numerators i.e. GCF of 614,883,531 is 1 .

LCM of Denominators means LCM of 24,98,365 as per the given fractions.

LCM of 24,98,365 is 429240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 614,883,531

GCF of Fractions 614/24,883/98,531/365 is 1/429240

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

Greatest Common Factor of 614,883,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,883,531 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 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 614,883,531 . The biggest common factor number is the GCF number.
So the greatest common factor 614,883,531 is 1.

Lets's calculate LCM of 24,98,365

2 24, 98, 365
12, 49, 365

∴ So the LCM of the given numbers is 2 x 12 x 49 x 365 = 429240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429240

Therefore, the GCF of Fractions 614/24,883/98,531/365 is 1/429240

Least Common Multiple of 24,98,365 with GCF Formula

Least Common Multiple of 24,98,365 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 24,98,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,98,365) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,98,365) x common factors =1 x 2 = 2

LCM(24,98,365) = ( 24 × 98 × 365 ) / 2

LCM(24,98,365) = 858480 / 2

LCM(24,98,365) = 429240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 614/24, 883/98, 531/365

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 614/24, 883/98, 531/365?

Answer: GCF of Numerators as per given numbers 614/24, 883/98, 531/365 is

GCF of Numerators i.e. for 614,883,531 is 1

LCM of denominators i.e. for 24,98,365 is 429240.

Thus, GCF of Fractions is 1/429240.Finally, GCF of Fractions for 614/24, 883/98, 531/365 is 1/429240.