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GCF of 2053/272, 4727/6550

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 2053/272, 4727/6550 i.e 1/890800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2053/272, 4727/6550.

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 2053/272,4727/6550?

Given fractions are 2053/272,4727/6550

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 2053/272,4727/6550, numerators are 2053,4727

Denominators are 272,6550

The GCF of 2053,4727 is 1 .

LCM of 272,6550 is 890800.

The greatest common factor of 2053/272,4727/6550 = [GCF of 2053,4727]/[LCM of 272,6550]= 1/890800

Therefore, the GCF of 2053/272,4727/6550 is 1/890800.

Greatest Common Factor of 2053,4727

To find the highest common factor of 2053,4727, we have to find the factors of both numbers and list the highest common factor.

The factors of 2053 are 1, 2053

The factors of 4727 are 1, 29, 163, 4727

The HCF of 2053,4727 is 1.

Lets's calculate GCF of 2053,4727

Greatest Common Factor (GCF) of 2053,4727 By Common Division

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

Greatest Common Factor of 2053,4727 By Matching Biggest Common Factor Method

Greatest Common Factor of 2053,4727 By Matching Biggest Common Factor Method

Now, list down the factors of 2053

:

1,2053

Now, list down the factors of 4727

:

1,29,163,4727

Greatest Common Factor

We found the factors 2053,4727 . The biggest common factor number is the GCF number.
So the greatest common factor 2053,4727 is 1.

Lets's calculate LCM of 272,6550

Lowest Common Multiple of 272,6550 using Common Division

2 272, 6550
136, 3275

∴ So the LCM of the given numbers is 2 x 136 x 3275 = 890800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/890800

Therefore, the GCF of Fractions 2053/272,4727/6550 is 1/890800

Least Common Multiple of 272,6550 with GCF Formula

Least Common Multiple of 272,6550 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 272,6550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,6550) = 2

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

GCF(272,6550) x common factors =2 x 1 = 2

LCM(272,6550) = ( 272 × 6550 ) / 2

LCM(272,6550) = 1781600 / 2

LCM(272,6550) = 890800


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FAQs on GCF of Fractions of 2053/272, 4727/6550

1. What is the HCF of 2053,4727?

The HCF of 2053,4727 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 2053/272, 4727/6550?

Answer: GCF of Numerators as per given numbers 2053/272, 4727/6550 is

GCF of Numerators i.e. for 2053,4727 is 1

LCM of denominators i.e. for 272,6550 is 890800.

Thus, GCF of Fractions is 1/890800.Finally, GCF of Fractions for 2053/272, 4727/6550 is 1/890800.