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GCF of 659/472, 869/828

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 659/472, 869/828 i.e 1/97704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/472, 869/828.

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 659/472,869/828?

Given fractions are 659/472,869/828

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 659/472,869/828, numerators are 659,869

Denominators are 472,828

The GCF of 659,869 is 1 .

LCM of 472,828 is 97704.

The greatest common factor of 659/472,869/828 = [GCF of 659,869]/[LCM of 472,828]= 1/97704

Therefore, the GCF of 659/472,869/828 is 1/97704.

Greatest Common Factor of 659,869

To find the highest common factor of 659,869, 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 869 are 1, 11, 79, 869

The HCF of 659,869 is 1.

Lets's calculate GCF of 659,869

Greatest Common Factor (GCF) of 659,869 By Common Division

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

Greatest Common Factor of 659,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,869 By Matching Biggest Common Factor Method

Now, list down the factors of 659

:

1,659

Now, list down the factors of 869

:

1,11,79,869

Greatest Common Factor

We found the factors 659,869 . The biggest common factor number is the GCF number.
So the greatest common factor 659,869 is 1.

Lets's calculate LCM of 472,828

Lowest Common Multiple of 472,828 using Common Division

2 472, 828
2 236, 414
118, 207

∴ So the LCM of the given numbers is 2 x 2 x 118 x 207 = 97704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97704

Therefore, the GCF of Fractions 659/472,869/828 is 1/97704

Least Common Multiple of 472,828 with GCF Formula

Least Common Multiple of 472,828 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 472,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,828) = 4

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

GCF(472,828) x common factors =4 x 1 = 4

LCM(472,828) = ( 472 × 828 ) / 4

LCM(472,828) = 390816 / 4

LCM(472,828) = 97704


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FAQs on GCF of Fractions of 659/472, 869/828

1. What is the HCF of 659,869?

The HCF of 659,869 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 659/472, 869/828?

Answer: GCF of Numerators as per given numbers 659/472, 869/828 is

GCF of Numerators i.e. for 659,869 is 1

LCM of denominators i.e. for 472,828 is 97704.

Thus, GCF of Fractions is 1/97704.Finally, GCF of Fractions for 659/472, 869/828 is 1/97704.