How to Find GCF of 3757/970, 1685/6549?

GCF of 3757/970, 1685/6549

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 3757/970, 1685/6549 i.e 1/6352530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3757/970, 1685/6549.

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 3757/970,1685/6549?

Given fractions are 3757/970,1685/6549

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 3757/970,1685/6549, numerators are 3757,1685

Denominators are 970,6549

The GCF of 3757,1685 is 1 .

LCM of 970,6549 is 6352530.

The greatest common factor of 3757/970,1685/6549 = [GCF of 3757,1685]/[LCM of 970,6549]= 1/6352530

Therefore, the GCF of 3757/970,1685/6549 is 1/6352530.

Greatest Common Factor of 3757,1685

To find the highest common factor of 3757,1685, we have to find the factors of both numbers and list the highest common factor.

The factors of 3757 are 1, 13, 17, 221, 289, 3757

The factors of 1685 are 1, 5, 337, 1685

The HCF of 3757,1685 is 1.

Lets's calculate GCF of 3757,1685

Greatest Common Factor (GCF) of 3757,1685 By Common Division

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

Greatest Common Factor of 3757,1685 By Matching Biggest Common Factor Method

Now, list down the factors of 3757

1,13,17,221,289,3757

Now, list down the factors of 1685

1,5,337,1685

Greatest Common Factor

We found the factors 3757,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 3757,1685 is 1.

Lets's calculate LCM of 970,6549

Lowest Common Multiple of 970,6549 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6352530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6352530

Therefore, the GCF of Fractions 3757/970,1685/6549 is 1/6352530

Least Common Multiple of 970,6549 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 970,6549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,6549) = 1

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

GCF(970,6549) x common factors =1 x 1 = 1

LCM(970,6549) = ( 970 × 6549 ) / 1

LCM(970,6549) = 6352530 / 1

LCM(970,6549) = 6352530

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FAQs on GCF of Fractions of 3757/970, 1685/6549

1. What is the HCF of 3757,1685?

The HCF of 3757,1685 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 3757/970, 1685/6549?

Answer: GCF of Numerators as per given numbers 3757/970, 1685/6549 is

GCF of Numerators i.e. for 3757,1685 is 1

LCM of denominators i.e. for 970,6549 is 6352530.

Thus, GCF of Fractions is 1/6352530.Finally, GCF of Fractions for 3757/970, 1685/6549 is 1/6352530.