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GCF of 5851/674, 2742/1685

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 5851/674, 2742/1685 i.e 1/3370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5851/674, 2742/1685.

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 5851/674,2742/1685?

Given fractions are 5851/674,2742/1685

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 5851/674,2742/1685, numerators are 5851,2742

Denominators are 674,1685

The GCF of 5851,2742 is 1 .

LCM of 674,1685 is 3370.

The greatest common factor of 5851/674,2742/1685 = [GCF of 5851,2742]/[LCM of 674,1685]= 1/3370

Therefore, the GCF of 5851/674,2742/1685 is 1/3370.

Greatest Common Factor of 5851,2742

To find the highest common factor of 5851,2742, we have to find the factors of both numbers and list the highest common factor.

The factors of 5851 are 1, 5851

The factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742

The HCF of 5851,2742 is 1.

Lets's calculate GCF of 5851,2742

Greatest Common Factor (GCF) of 5851,2742 By Common Division

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

Greatest Common Factor of 5851,2742 By Matching Biggest Common Factor Method

Greatest Common Factor of 5851,2742 By Matching Biggest Common Factor Method

Now, list down the factors of 5851

:

1,5851

Now, list down the factors of 2742

:

1,2,3,6,457,914,1371,2742

Greatest Common Factor

We found the factors 5851,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 5851,2742 is 1.

Lets's calculate LCM of 674,1685

Lowest Common Multiple of 674,1685 using Common Division

337 674, 1685
2, 5

∴ So the LCM of the given numbers is 337 x 2 x 5 = 3370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3370

Therefore, the GCF of Fractions 5851/674,2742/1685 is 1/3370

Least Common Multiple of 674,1685 with GCF Formula

Least Common Multiple of 674,1685 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 674,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,1685) = 337

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

GCF(674,1685) x common factors =337 x 1 = 337

LCM(674,1685) = ( 674 × 1685 ) / 337

LCM(674,1685) = 1135690 / 337

LCM(674,1685) = 3370


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5851/674, 2742/1685

1. What is the HCF of 5851,2742?

The HCF of 5851,2742 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 5851/674, 2742/1685?

Answer: GCF of Numerators as per given numbers 5851/674, 2742/1685 is

GCF of Numerators i.e. for 5851,2742 is 1

LCM of denominators i.e. for 674,1685 is 3370.

Thus, GCF of Fractions is 1/3370.Finally, GCF of Fractions for 5851/674, 2742/1685 is 1/3370.