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GCF of 4993/490, 6731/431

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 4993/490, 6731/431 i.e 1/211190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4993/490, 6731/431.

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 4993/490,6731/431?

Given fractions are 4993/490,6731/431

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 4993/490,6731/431, numerators are 4993,6731

Denominators are 490,431

The GCF of 4993,6731 is 1 .

LCM of 490,431 is 211190.

The greatest common factor of 4993/490,6731/431 = [GCF of 4993,6731]/[LCM of 490,431]= 1/211190

Therefore, the GCF of 4993/490,6731/431 is 1/211190.

Greatest Common Factor of 4993,6731

To find the highest common factor of 4993,6731, we have to find the factors of both numbers and list the highest common factor.

The factors of 4993 are 1, 4993

The factors of 6731 are 1, 53, 127, 6731

The HCF of 4993,6731 is 1.

Lets's calculate GCF of 4993,6731

Greatest Common Factor (GCF) of 4993,6731 By Common Division

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

Greatest Common Factor of 4993,6731 By Matching Biggest Common Factor Method

Greatest Common Factor of 4993,6731 By Matching Biggest Common Factor Method

Now, list down the factors of 4993

:

1,4993

Now, list down the factors of 6731

:

1,53,127,6731

Greatest Common Factor

We found the factors 4993,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 4993,6731 is 1.

Lets's calculate LCM of 490,431

Lowest Common Multiple of 490,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 211190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211190

Therefore, the GCF of Fractions 4993/490,6731/431 is 1/211190

Least Common Multiple of 490,431 with GCF Formula

Least Common Multiple of 490,431 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 490,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,431) = 1

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

GCF(490,431) x common factors =1 x 1 = 1

LCM(490,431) = ( 490 × 431 ) / 1

LCM(490,431) = 211190 / 1

LCM(490,431) = 211190


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FAQs on GCF of Fractions of 4993/490, 6731/431

1. What is the HCF of 4993,6731?

The HCF of 4993,6731 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 4993/490, 6731/431?

Answer: GCF of Numerators as per given numbers 4993/490, 6731/431 is

GCF of Numerators i.e. for 4993,6731 is 1

LCM of denominators i.e. for 490,431 is 211190.

Thus, GCF of Fractions is 1/211190.Finally, GCF of Fractions for 4993/490, 6731/431 is 1/211190.