How to Find GCF of 8579/421, 6572/835?

GCF of 8579/421, 6572/835

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 8579/421, 6572/835 i.e 1/351535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8579/421, 6572/835.

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 8579/421,6572/835?

Given fractions are 8579/421,6572/835

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 8579/421,6572/835, numerators are 8579,6572

Denominators are 421,835

The GCF of 8579,6572 is 1 .

LCM of 421,835 is 351535.

The greatest common factor of 8579/421,6572/835 = [GCF of 8579,6572]/[LCM of 421,835]= 1/351535

Therefore, the GCF of 8579/421,6572/835 is 1/351535.

Greatest Common Factor of 8579,6572

To find the highest common factor of 8579,6572, we have to find the factors of both numbers and list the highest common factor.

The factors of 8579 are 1, 23, 373, 8579

The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572

The HCF of 8579,6572 is 1.

Lets's calculate GCF of 8579,6572

Greatest Common Factor (GCF) of 8579,6572 By Common Division

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

Greatest Common Factor of 8579,6572 By Matching Biggest Common Factor Method

Now, list down the factors of 8579

1,23,373,8579

Now, list down the factors of 6572

1,2,4,31,53,62,106,124,212,1643,3286,6572

Greatest Common Factor

We found the factors 8579,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 8579,6572 is 1.

Lets's calculate LCM of 421,835

Lowest Common Multiple of 421,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 351535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351535

Therefore, the GCF of Fractions 8579/421,6572/835 is 1/351535

Least Common Multiple of 421,835 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 421,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,835) = 1

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

GCF(421,835) x common factors =1 x 1 = 1

LCM(421,835) = ( 421 × 835 ) / 1

LCM(421,835) = 351535 / 1

LCM(421,835) = 351535

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FAQs on GCF of Fractions of 8579/421, 6572/835

1. What is the HCF of 8579,6572?

The HCF of 8579,6572 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 8579/421, 6572/835?

Answer: GCF of Numerators as per given numbers 8579/421, 6572/835 is

GCF of Numerators i.e. for 8579,6572 is 1

LCM of denominators i.e. for 421,835 is 351535.

Thus, GCF of Fractions is 1/351535.Finally, GCF of Fractions for 8579/421, 6572/835 is 1/351535.