How to Find GCF of 4987/208, 2720/788?

GCF of 4987/208, 2720/788

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 4987/208, 2720/788 i.e 1/40976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4987/208, 2720/788.

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 4987/208,2720/788?

Given fractions are 4987/208,2720/788

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 4987/208,2720/788, numerators are 4987,2720

Denominators are 208,788

The GCF of 4987,2720 is 1 .

LCM of 208,788 is 40976.

The greatest common factor of 4987/208,2720/788 = [GCF of 4987,2720]/[LCM of 208,788]= 1/40976

Therefore, the GCF of 4987/208,2720/788 is 1/40976.

Greatest Common Factor of 4987,2720

To find the highest common factor of 4987,2720, we have to find the factors of both numbers and list the highest common factor.

The factors of 4987 are 1, 4987

The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720

The HCF of 4987,2720 is 1.

Lets's calculate GCF of 4987,2720

Greatest Common Factor (GCF) of 4987,2720 By Common Division

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

Greatest Common Factor of 4987,2720 By Matching Biggest Common Factor Method

Now, list down the factors of 4987

1,4987

Now, list down the factors of 2720

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Greatest Common Factor

We found the factors 4987,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 4987,2720 is 1.

Lets's calculate LCM of 208,788

Lowest Common Multiple of 208,788 using Common Division

2	208, 788
2	104, 394
	52, 197

∴ So the LCM of the given numbers is 2 x 2 x 52 x 197 = 40976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40976

Therefore, the GCF of Fractions 4987/208,2720/788 is 1/40976

Least Common Multiple of 208,788 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 208,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,788) = 4

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

GCF(208,788) x common factors =4 x 1 = 4

LCM(208,788) = ( 208 × 788 ) / 4

LCM(208,788) = 163904 / 4

LCM(208,788) = 40976

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FAQs on GCF of Fractions of 4987/208, 2720/788

1. What is the HCF of 4987,2720?

The HCF of 4987,2720 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 4987/208, 2720/788?

Answer: GCF of Numerators as per given numbers 4987/208, 2720/788 is

GCF of Numerators i.e. for 4987,2720 is 1

LCM of denominators i.e. for 208,788 is 40976.

Thus, GCF of Fractions is 1/40976.Finally, GCF of Fractions for 4987/208, 2720/788 is 1/40976.