Greatest Common Factor of 133/86, 501/49, 284/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/86, 501/49, 284/624

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 133/86,501/49,284/624

Given fractions are 133/86,501/49,284/624

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 133,501,284

Greatest Common Factor of Numerators i.e. GCF of 133,501,284 is 1 .

LCM of Denominators means LCM of 86,49,624 as per the given fractions.

LCM of 86,49,624 is 1314768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,501,284

GCF of Fractions 133/86,501/49,284/624 is 1/1314768

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

Greatest Common Factor of 133,501,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,501,284 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 133,501,284 . The biggest common factor number is the GCF number.
So the greatest common factor 133,501,284 is 1.

Lets's calculate LCM of 86,49,624

2 86, 49, 624
43, 49, 312

∴ So the LCM of the given numbers is 2 x 43 x 49 x 312 = 1314768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1314768

Therefore, the GCF of Fractions 133/86,501/49,284/624 is 1/1314768

Least Common Multiple of 86,49,624 with GCF Formula

Least Common Multiple of 86,49,624 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 86,49,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,49,624) = 1

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

GCF(86,49,624) x common factors =1 x 2 = 2

LCM(86,49,624) = ( 86 × 49 × 624 ) / 2

LCM(86,49,624) = 2629536 / 2

LCM(86,49,624) = 1314768


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 133/86, 501/49, 284/624

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 133/86, 501/49, 284/624?

Answer: GCF of Numerators as per given numbers 133/86, 501/49, 284/624 is

GCF of Numerators i.e. for 133,501,284 is 1

LCM of denominators i.e. for 86,49,624 is 1314768.

Thus, GCF of Fractions is 1/1314768.Finally, GCF of Fractions for 133/86, 501/49, 284/624 is 1/1314768.