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GCF of 859/61, 947/876

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 859/61, 947/876 i.e 1/53436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/61, 947/876.

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 859/61,947/876?

Given fractions are 859/61,947/876

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 859/61,947/876, numerators are 859,947

Denominators are 61,876

The GCF of 859,947 is 1 .

LCM of 61,876 is 53436.

The greatest common factor of 859/61,947/876 = [GCF of 859,947]/[LCM of 61,876]= 1/53436

Therefore, the GCF of 859/61,947/876 is 1/53436.

Greatest Common Factor of 859,947

To find the highest common factor of 859,947, we have to find the factors of both numbers and list the highest common factor.

The factors of 859 are 1, 859

The factors of 947 are 1, 947

The HCF of 859,947 is 1.

Lets's calculate GCF of 859,947

Greatest Common Factor (GCF) of 859,947 By Common Division

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

Greatest Common Factor of 859,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,947 By Matching Biggest Common Factor Method

Now, list down the factors of 859

:

1,859

Now, list down the factors of 947

:

1,947

Greatest Common Factor

We found the factors 859,947 . The biggest common factor number is the GCF number.
So the greatest common factor 859,947 is 1.

Lets's calculate LCM of 61,876

Lowest Common Multiple of 61,876 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53436

Therefore, the GCF of Fractions 859/61,947/876 is 1/53436

Least Common Multiple of 61,876 with GCF Formula

Least Common Multiple of 61,876 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 61,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,876) = 1

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

GCF(61,876) x common factors =1 x 1 = 1

LCM(61,876) = ( 61 × 876 ) / 1

LCM(61,876) = 53436 / 1

LCM(61,876) = 53436


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FAQs on GCF of Fractions of 859/61, 947/876

1. What is the HCF of 859,947?

The HCF of 859,947 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 859/61, 947/876?

Answer: GCF of Numerators as per given numbers 859/61, 947/876 is

GCF of Numerators i.e. for 859,947 is 1

LCM of denominators i.e. for 61,876 is 53436.

Thus, GCF of Fractions is 1/53436.Finally, GCF of Fractions for 859/61, 947/876 is 1/53436.