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GCF of 861/214, 6373/794

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 861/214, 6373/794 i.e 1/84958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 861/214, 6373/794.

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 861/214,6373/794?

Given fractions are 861/214,6373/794

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 861/214,6373/794, numerators are 861,6373

Denominators are 214,794

The GCF of 861,6373 is 1 .

LCM of 214,794 is 84958.

The greatest common factor of 861/214,6373/794 = [GCF of 861,6373]/[LCM of 214,794]= 1/84958

Therefore, the GCF of 861/214,6373/794 is 1/84958.

Greatest Common Factor of 861,6373

To find the highest common factor of 861,6373, we have to find the factors of both numbers and list the highest common factor.

The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861

The factors of 6373 are 1, 6373

The HCF of 861,6373 is 1.

Lets's calculate GCF of 861,6373

Greatest Common Factor (GCF) of 861,6373 By Common Division

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

Greatest Common Factor of 861,6373 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,6373 By Matching Biggest Common Factor Method

Now, list down the factors of 861

:

1,3,7,21,41,123,287,861

Now, list down the factors of 6373

:

1,6373

Greatest Common Factor

We found the factors 861,6373 . The biggest common factor number is the GCF number.
So the greatest common factor 861,6373 is 1.

Lets's calculate LCM of 214,794

Lowest Common Multiple of 214,794 using Common Division

2 214, 794
107, 397

∴ So the LCM of the given numbers is 2 x 107 x 397 = 84958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84958

Therefore, the GCF of Fractions 861/214,6373/794 is 1/84958

Least Common Multiple of 214,794 with GCF Formula

Least Common Multiple of 214,794 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 214,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,794) = 2

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

GCF(214,794) x common factors =2 x 1 = 2

LCM(214,794) = ( 214 × 794 ) / 2

LCM(214,794) = 169916 / 2

LCM(214,794) = 84958


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FAQs on GCF of Fractions of 861/214, 6373/794

1. What is the HCF of 861,6373?

The HCF of 861,6373 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 861/214, 6373/794?

Answer: GCF of Numerators as per given numbers 861/214, 6373/794 is

GCF of Numerators i.e. for 861,6373 is 1

LCM of denominators i.e. for 214,794 is 84958.

Thus, GCF of Fractions is 1/84958.Finally, GCF of Fractions for 861/214, 6373/794 is 1/84958.