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GCF of 6917/935, 6047/1940

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 6917/935, 6047/1940 i.e 1/362780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6917/935, 6047/1940.

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 6917/935,6047/1940?

Given fractions are 6917/935,6047/1940

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 6917/935,6047/1940, numerators are 6917,6047

Denominators are 935,1940

The GCF of 6917,6047 is 1 .

LCM of 935,1940 is 362780.

The greatest common factor of 6917/935,6047/1940 = [GCF of 6917,6047]/[LCM of 935,1940]= 1/362780

Therefore, the GCF of 6917/935,6047/1940 is 1/362780.

Greatest Common Factor of 6917,6047

To find the highest common factor of 6917,6047, we have to find the factors of both numbers and list the highest common factor.

The factors of 6917 are 1, 6917

The factors of 6047 are 1, 6047

The HCF of 6917,6047 is 1.

Lets's calculate GCF of 6917,6047

Greatest Common Factor (GCF) of 6917,6047 By Common Division

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

Greatest Common Factor of 6917,6047 By Matching Biggest Common Factor Method

Greatest Common Factor of 6917,6047 By Matching Biggest Common Factor Method

Now, list down the factors of 6917

:

1,6917

Now, list down the factors of 6047

:

1,6047

Greatest Common Factor

We found the factors 6917,6047 . The biggest common factor number is the GCF number.
So the greatest common factor 6917,6047 is 1.

Lets's calculate LCM of 935,1940

Lowest Common Multiple of 935,1940 using Common Division

5 935, 1940
187, 388

∴ So the LCM of the given numbers is 5 x 187 x 388 = 362780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362780

Therefore, the GCF of Fractions 6917/935,6047/1940 is 1/362780

Least Common Multiple of 935,1940 with GCF Formula

Least Common Multiple of 935,1940 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 935,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,1940) = 5

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

GCF(935,1940) x common factors =5 x 1 = 5

LCM(935,1940) = ( 935 × 1940 ) / 5

LCM(935,1940) = 1813900 / 5

LCM(935,1940) = 362780


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FAQs on GCF of Fractions of 6917/935, 6047/1940

1. What is the HCF of 6917,6047?

The HCF of 6917,6047 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 6917/935, 6047/1940?

Answer: GCF of Numerators as per given numbers 6917/935, 6047/1940 is

GCF of Numerators i.e. for 6917,6047 is 1

LCM of denominators i.e. for 935,1940 is 362780.

Thus, GCF of Fractions is 1/362780.Finally, GCF of Fractions for 6917/935, 6047/1940 is 1/362780.