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GCF of 879/712, 233/539

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 879/712, 233/539 i.e 1/383768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/712, 233/539.

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 879/712,233/539?

Given fractions are 879/712,233/539

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 879/712,233/539, numerators are 879,233

Denominators are 712,539

The GCF of 879,233 is 1 .

LCM of 712,539 is 383768.

The greatest common factor of 879/712,233/539 = [GCF of 879,233]/[LCM of 712,539]= 1/383768

Therefore, the GCF of 879/712,233/539 is 1/383768.

Greatest Common Factor of 879,233

To find the highest common factor of 879,233, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 233 are 1, 233

The HCF of 879,233 is 1.

Lets's calculate GCF of 879,233

Greatest Common Factor (GCF) of 879,233 By Common Division

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

Greatest Common Factor of 879,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,233 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 233

:

1,233

Greatest Common Factor

We found the factors 879,233 . The biggest common factor number is the GCF number.
So the greatest common factor 879,233 is 1.

Lets's calculate LCM of 712,539

Lowest Common Multiple of 712,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 383768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383768

Therefore, the GCF of Fractions 879/712,233/539 is 1/383768

Least Common Multiple of 712,539 with GCF Formula

Least Common Multiple of 712,539 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 712,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,539) = 1

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

GCF(712,539) x common factors =1 x 1 = 1

LCM(712,539) = ( 712 × 539 ) / 1

LCM(712,539) = 383768 / 1

LCM(712,539) = 383768


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FAQs on GCF of Fractions of 879/712, 233/539

1. What is the HCF of 879,233?

The HCF of 879,233 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 879/712, 233/539?

Answer: GCF of Numerators as per given numbers 879/712, 233/539 is

GCF of Numerators i.e. for 879,233 is 1

LCM of denominators i.e. for 712,539 is 383768.

Thus, GCF of Fractions is 1/383768.Finally, GCF of Fractions for 879/712, 233/539 is 1/383768.