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GCF of 970/479, 8002/140

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 970/479, 8002/140 i.e 2/67060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/479, 8002/140.

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 970/479,8002/140?

Given fractions are 970/479,8002/140

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 970/479,8002/140, numerators are 970,8002

Denominators are 479,140

The GCF of 970,8002 is 2 .

LCM of 479,140 is 67060.

The greatest common factor of 970/479,8002/140 = [GCF of 970,8002]/[LCM of 479,140]= 2/67060

Therefore, the GCF of 970/479,8002/140 is 2/67060.

Greatest Common Factor of 970,8002

To find the highest common factor of 970,8002, we have to find the factors of both numbers and list the highest common factor.

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The factors of 8002 are 1, 2, 4001, 8002

The HCF of 970,8002 is 2.

Lets's calculate GCF of 970,8002

Greatest Common Factor (GCF) of 970,8002 By Common Division

2 970, 8002
485, 4001

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 970,8002 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,8002 By Matching Biggest Common Factor Method

Now, list down the factors of 970

:

1,2,5,10,97,194,485,970

Now, list down the factors of 8002

:

1,2,4001,8002

Greatest Common Factor

We found the factors 970,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 970,8002 is 2.

Lets's calculate LCM of 479,140

Lowest Common Multiple of 479,140 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67060

Therefore, the GCF of Fractions 970/479,8002/140 is 2/67060

Least Common Multiple of 479,140 with GCF Formula

Least Common Multiple of 479,140 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 479,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,140) = 1

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

GCF(479,140) x common factors =1 x 1 = 1

LCM(479,140) = ( 479 × 140 ) / 1

LCM(479,140) = 67060 / 1

LCM(479,140) = 67060


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FAQs on GCF of Fractions of 970/479, 8002/140

1. What is the HCF of 970,8002?

The HCF of 970,8002 is 2

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 970/479, 8002/140?

Answer: GCF of Numerators as per given numbers 970/479, 8002/140 is

GCF of Numerators i.e. for 970,8002 is 2

LCM of denominators i.e. for 479,140 is 67060.

Thus, GCF of Fractions is 2/67060.Finally, GCF of Fractions for 970/479, 8002/140 is 2/67060.