Greatest Common Factor of 513/94, 611/48, 856/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/94, 611/48, 856/266

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 513/94,611/48,856/266

Given fractions are 513/94,611/48,856/266

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 513,611,856

Greatest Common Factor of Numerators i.e. GCF of 513,611,856 is 1 .

LCM of Denominators means LCM of 94,48,266 as per the given fractions.

LCM of 94,48,266 is 300048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,611,856

GCF of Fractions 513/94,611/48,856/266 is 1/300048

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

Greatest Common Factor of 513,611,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,611,856 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 513,611,856 . The biggest common factor number is the GCF number.
So the greatest common factor 513,611,856 is 1.

Lets's calculate LCM of 94,48,266

2 94, 48, 266
47, 24, 133

∴ So the LCM of the given numbers is 2 x 47 x 24 x 133 = 300048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300048

Therefore, the GCF of Fractions 513/94,611/48,856/266 is 1/300048

Least Common Multiple of 94,48,266 with GCF Formula

Least Common Multiple of 94,48,266 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 94,48,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,48,266) = 2

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

GCF(94,48,266) x common factors =2 x 2 = 4

LCM(94,48,266) = ( 94 × 48 × 266 ) / 4

LCM(94,48,266) = 1200192 / 4

LCM(94,48,266) = 300048


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 513/94, 611/48, 856/266

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 513/94, 611/48, 856/266?

Answer: GCF of Numerators as per given numbers 513/94, 611/48, 856/266 is

GCF of Numerators i.e. for 513,611,856 is 1

LCM of denominators i.e. for 94,48,266 is 300048.

Thus, GCF of Fractions is 1/300048.Finally, GCF of Fractions for 513/94, 611/48, 856/266 is 1/300048.