How to Find GCF of 579/57, 682/137?

GCF of 579/57, 682/137

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 579/57, 682/137 i.e 1/7809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/57, 682/137.

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 579/57,682/137?

Given fractions are 579/57,682/137

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 579/57,682/137, numerators are 579,682

Denominators are 57,137

The GCF of 579,682 is 1 .

LCM of 57,137 is 7809.

The greatest common factor of 579/57,682/137 = [GCF of 579,682]/[LCM of 57,137]= 1/7809

Therefore, the GCF of 579/57,682/137 is 1/7809.

Greatest Common Factor of 579,682

To find the highest common factor of 579,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 579 are 1, 3, 193, 579

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 579,682 is 1.

Lets's calculate GCF of 579,682

Greatest Common Factor (GCF) of 579,682 By Common Division

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

Greatest Common Factor of 579,682 By Matching Biggest Common Factor Method

Now, list down the factors of 579

1,3,193,579

Now, list down the factors of 682

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 579,682 . The biggest common factor number is the GCF number.
So the greatest common factor 579,682 is 1.

Lets's calculate LCM of 57,137

Lowest Common Multiple of 57,137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7809

Therefore, the GCF of Fractions 579/57,682/137 is 1/7809

Least Common Multiple of 57,137 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 57,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,137) = 1

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

GCF(57,137) x common factors =1 x 1 = 1

LCM(57,137) = ( 57 × 137 ) / 1

LCM(57,137) = 7809 / 1

LCM(57,137) = 7809

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FAQs on GCF of Fractions of 579/57, 682/137

1. What is the HCF of 579,682?

The HCF of 579,682 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 579/57, 682/137?

Answer: GCF of Numerators as per given numbers 579/57, 682/137 is

GCF of Numerators i.e. for 579,682 is 1

LCM of denominators i.e. for 57,137 is 7809.

Thus, GCF of Fractions is 1/7809.Finally, GCF of Fractions for 579/57, 682/137 is 1/7809.