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GCF of 979/30, 430/514

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 979/30, 430/514 i.e 1/7710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/30, 430/514.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 979/30,430/514?

Given fractions are 979/30,430/514

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 979/30,430/514, numerators are 979,430

Denominators are 30,514

The GCF of 979,430 is 1 .

LCM of 30,514 is 7710.

The greatest common factor of 979/30,430/514 = [GCF of 979,430]/[LCM of 30,514]= 1/7710

Therefore, the GCF of 979/30,430/514 is 1/7710.

Greatest Common Factor of 979,430

To find the highest common factor of 979,430, 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 430 are 1, 2, 5, 10, 43, 86, 215, 430

The HCF of 979,430 is 1.

Lets's calculate GCF of 979,430

Greatest Common Factor (GCF) of 979,430 By Common Division

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

Greatest Common Factor of 979,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,430 By Matching Biggest Common Factor Method

Now, list down the factors of 979

:

1,11,89,979

Now, list down the factors of 430

:

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 979,430 . The biggest common factor number is the GCF number.
So the greatest common factor 979,430 is 1.

Lets's calculate LCM of 30,514

Lowest Common Multiple of 30,514 using Common Division

2 30, 514
15, 257

∴ So the LCM of the given numbers is 2 x 15 x 257 = 7710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7710

Therefore, the GCF of Fractions 979/30,430/514 is 1/7710

Least Common Multiple of 30,514 with GCF Formula

Least Common Multiple of 30,514 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 30,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,514) = 2

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

GCF(30,514) x common factors =2 x 1 = 2

LCM(30,514) = ( 30 × 514 ) / 2

LCM(30,514) = 15420 / 2

LCM(30,514) = 7710


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FAQs on GCF of Fractions of 979/30, 430/514

1. What is the HCF of 979,430?

The HCF of 979,430 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 979/30, 430/514?

Answer: GCF of Numerators as per given numbers 979/30, 430/514 is

GCF of Numerators i.e. for 979,430 is 1

LCM of denominators i.e. for 30,514 is 7710.

Thus, GCF of Fractions is 1/7710.Finally, GCF of Fractions for 979/30, 430/514 is 1/7710.