How to Find GCF of 979/509, 385/296, 131/856?

GCF of 979/509, 385/296, 131/856

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 979/509, 385/296, 131/856 i.e 1/16121048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/509, 385/296, 131/856.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 979/509,385/296,131/856?

Given fractions are 979/509,385/296,131/856

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 979/509,385/296,131/856, numerators are 979,385,131

Denominators are 509,296,856

The GCF of 979,385,131 is 1 .

LCM of 509,296,856 is 16121048.

The greatest common factor of 979/509,385/296,131/856 = [GCF of 979,385,131]/[LCM of 509,296,856]= 1/16121048

Therefore, the GCF of 979/509,385/296,131/856 is 1/16121048.

Greatest Common Factor of 979,385,131

To find the highest common factor of 979,385,131, we have to find the factors of both numbers and list the highest common factor.

The factors of 979 are 1, 11, 89, 979

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The factors of 131 are 1, 131

The HCF of 979,385,131 is 1.

Lets's calculate GCF of 979,385,131

Greatest Common Factor (GCF) of 979,385,131 By Common Division

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

Greatest Common Factor of 979,385,131 By Matching Biggest Common Factor Method

Now, list down the factors of 979

1,11,89,979

Now, list down the factors of 385

1,5,7,11,35,55,77,385

Now, list down the factors of 131

1,131

Greatest Common Factor

We found the factors 979,385,131 . The biggest common factor number is the GCF number.
So the greatest common factor 979,385,131 is 1.

Lets's calculate LCM of 509,296,856

Lowest Common Multiple of 509,296,856 using Common Division

2	509, 296, 856
2	509, 148, 428
2	509, 74, 214
	509, 37, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 509 x 37 x 107 = 16121048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16121048

Therefore, the GCF of Fractions 979/509,385/296,131/856 is 1/16121048

Least Common Multiple of 509,296,856 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 509,296,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,296,856) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(509,296,856) x common factors =1 x 8 = 8

LCM(509,296,856) = ( 509 × 296 × 856 ) / 8

LCM(509,296,856) = 128968384 / 8

LCM(509,296,856) = 16121048

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 979/509, 385/296, 131/856

1. What is the HCF of 979,385,131?

The HCF of 979,385,131 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 979/509, 385/296, 131/856?

Answer: GCF of Numerators as per given numbers 979/509, 385/296, 131/856 is

GCF of Numerators i.e. for 979,385,131 is 1

LCM of denominators i.e. for 509,296,856 is 16121048.

Thus, GCF of Fractions is 1/16121048.Finally, GCF of Fractions for 979/509, 385/296, 131/856 is 1/16121048.