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GCF of 5141/305, 6701/4510

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 5141/305, 6701/4510 i.e 1/275110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5141/305, 6701/4510.

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 5141/305,6701/4510?

Given fractions are 5141/305,6701/4510

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 5141/305,6701/4510, numerators are 5141,6701

Denominators are 305,4510

The GCF of 5141,6701 is 1 .

LCM of 305,4510 is 275110.

The greatest common factor of 5141/305,6701/4510 = [GCF of 5141,6701]/[LCM of 305,4510]= 1/275110

Therefore, the GCF of 5141/305,6701/4510 is 1/275110.

Greatest Common Factor of 5141,6701

To find the highest common factor of 5141,6701, we have to find the factors of both numbers and list the highest common factor.

The factors of 5141 are 1, 53, 97, 5141

The factors of 6701 are 1, 6701

The HCF of 5141,6701 is 1.

Lets's calculate GCF of 5141,6701

Greatest Common Factor (GCF) of 5141,6701 By Common Division

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

Greatest Common Factor of 5141,6701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5141,6701 By Matching Biggest Common Factor Method

Now, list down the factors of 5141

:

1,53,97,5141

Now, list down the factors of 6701

:

1,6701

Greatest Common Factor

We found the factors 5141,6701 . The biggest common factor number is the GCF number.
So the greatest common factor 5141,6701 is 1.

Lets's calculate LCM of 305,4510

Lowest Common Multiple of 305,4510 using Common Division

5 305, 4510
61, 902

∴ So the LCM of the given numbers is 5 x 61 x 902 = 275110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275110

Therefore, the GCF of Fractions 5141/305,6701/4510 is 1/275110

Least Common Multiple of 305,4510 with GCF Formula

Least Common Multiple of 305,4510 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 305,4510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,4510) = 5

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

GCF(305,4510) x common factors =5 x 1 = 5

LCM(305,4510) = ( 305 × 4510 ) / 5

LCM(305,4510) = 1375550 / 5

LCM(305,4510) = 275110


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FAQs on GCF of Fractions of 5141/305, 6701/4510

1. What is the HCF of 5141,6701?

The HCF of 5141,6701 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 5141/305, 6701/4510?

Answer: GCF of Numerators as per given numbers 5141/305, 6701/4510 is

GCF of Numerators i.e. for 5141,6701 is 1

LCM of denominators i.e. for 305,4510 is 275110.

Thus, GCF of Fractions is 1/275110.Finally, GCF of Fractions for 5141/305, 6701/4510 is 1/275110.