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GCF of 879/25, 709/882

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 879/25, 709/882 i.e 1/22050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/25, 709/882.

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 879/25,709/882?

Given fractions are 879/25,709/882

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 879/25,709/882, numerators are 879,709

Denominators are 25,882

The GCF of 879,709 is 1 .

LCM of 25,882 is 22050.

The greatest common factor of 879/25,709/882 = [GCF of 879,709]/[LCM of 25,882]= 1/22050

Therefore, the GCF of 879/25,709/882 is 1/22050.

Greatest Common Factor of 879,709

To find the highest common factor of 879,709, 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 709 are 1, 709

The HCF of 879,709 is 1.

Lets's calculate GCF of 879,709

Greatest Common Factor (GCF) of 879,709 By Common Division

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

Greatest Common Factor of 879,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,709 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 709

:

1,709

Greatest Common Factor

We found the factors 879,709 . The biggest common factor number is the GCF number.
So the greatest common factor 879,709 is 1.

Lets's calculate LCM of 25,882

Lowest Common Multiple of 25,882 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22050

Therefore, the GCF of Fractions 879/25,709/882 is 1/22050

Least Common Multiple of 25,882 with GCF Formula

Least Common Multiple of 25,882 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 25,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,882) = 1

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

GCF(25,882) x common factors =1 x 1 = 1

LCM(25,882) = ( 25 × 882 ) / 1

LCM(25,882) = 22050 / 1

LCM(25,882) = 22050


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FAQs on GCF of Fractions of 879/25, 709/882

1. What is the HCF of 879,709?

The HCF of 879,709 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 879/25, 709/882?

Answer: GCF of Numerators as per given numbers 879/25, 709/882 is

GCF of Numerators i.e. for 879,709 is 1

LCM of denominators i.e. for 25,882 is 22050.

Thus, GCF of Fractions is 1/22050.Finally, GCF of Fractions for 879/25, 709/882 is 1/22050.