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GCF of 272/641, 1979/200

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 272/641, 1979/200 i.e 1/128200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 272/641, 1979/200.

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 272/641,1979/200?

Given fractions are 272/641,1979/200

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 272/641,1979/200, numerators are 272,1979

Denominators are 641,200

The GCF of 272,1979 is 1 .

LCM of 641,200 is 128200.

The greatest common factor of 272/641,1979/200 = [GCF of 272,1979]/[LCM of 641,200]= 1/128200

Therefore, the GCF of 272/641,1979/200 is 1/128200.

Greatest Common Factor of 272,1979

To find the highest common factor of 272,1979, we have to find the factors of both numbers and list the highest common factor.

The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

The factors of 1979 are 1, 1979

The HCF of 272,1979 is 1.

Lets's calculate GCF of 272,1979

Greatest Common Factor (GCF) of 272,1979 By Common Division

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

Greatest Common Factor of 272,1979 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,1979 By Matching Biggest Common Factor Method

Now, list down the factors of 272

:

1,2,4,8,16,17,34,68,136,272

Now, list down the factors of 1979

:

1,1979

Greatest Common Factor

We found the factors 272,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 272,1979 is 1.

Lets's calculate LCM of 641,200

Lowest Common Multiple of 641,200 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 128200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128200

Therefore, the GCF of Fractions 272/641,1979/200 is 1/128200

Least Common Multiple of 641,200 with GCF Formula

Least Common Multiple of 641,200 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 641,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,200) = 1

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

GCF(641,200) x common factors =1 x 1 = 1

LCM(641,200) = ( 641 × 200 ) / 1

LCM(641,200) = 128200 / 1

LCM(641,200) = 128200


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FAQs on GCF of Fractions of 272/641, 1979/200

1. What is the HCF of 272,1979?

The HCF of 272,1979 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 272/641, 1979/200?

Answer: GCF of Numerators as per given numbers 272/641, 1979/200 is

GCF of Numerators i.e. for 272,1979 is 1

LCM of denominators i.e. for 641,200 is 128200.

Thus, GCF of Fractions is 1/128200.Finally, GCF of Fractions for 272/641, 1979/200 is 1/128200.