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GCF of 659/810, 124/567

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 659/810, 124/567 i.e 1/5670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/810, 124/567.

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 659/810,124/567?

Given fractions are 659/810,124/567

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 659/810,124/567, numerators are 659,124

Denominators are 810,567

The GCF of 659,124 is 1 .

LCM of 810,567 is 5670.

The greatest common factor of 659/810,124/567 = [GCF of 659,124]/[LCM of 810,567]= 1/5670

Therefore, the GCF of 659/810,124/567 is 1/5670.

Greatest Common Factor of 659,124

To find the highest common factor of 659,124, we have to find the factors of both numbers and list the highest common factor.

The factors of 659 are 1, 659

The factors of 124 are 1, 2, 4, 31, 62, 124

The HCF of 659,124 is 1.

Lets's calculate GCF of 659,124

Greatest Common Factor (GCF) of 659,124 By Common Division

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

Greatest Common Factor of 659,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,124 By Matching Biggest Common Factor Method

Now, list down the factors of 659

:

1,659

Now, list down the factors of 124

:

1,2,4,31,62,124

Greatest Common Factor

We found the factors 659,124 . The biggest common factor number is the GCF number.
So the greatest common factor 659,124 is 1.

Lets's calculate LCM of 810,567

Lowest Common Multiple of 810,567 using Common Division

3 810, 567
3 270, 189
3 90, 63
3 30, 21
10, 7

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 10 x 7 = 5670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5670

Therefore, the GCF of Fractions 659/810,124/567 is 1/5670

Least Common Multiple of 810,567 with GCF Formula

Least Common Multiple of 810,567 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 810,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,567) = 81

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

GCF(810,567) x common factors =81 x 1 = 81

LCM(810,567) = ( 810 × 567 ) / 81

LCM(810,567) = 459270 / 81

LCM(810,567) = 5670


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FAQs on GCF of Fractions of 659/810, 124/567

1. What is the HCF of 659,124?

The HCF of 659,124 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 659/810, 124/567?

Answer: GCF of Numerators as per given numbers 659/810, 124/567 is

GCF of Numerators i.e. for 659,124 is 1

LCM of denominators i.e. for 810,567 is 5670.

Thus, GCF of Fractions is 1/5670.Finally, GCF of Fractions for 659/810, 124/567 is 1/5670.