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GCF of 6793/920, 3167/538

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 6793/920, 3167/538 i.e 1/247480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6793/920, 3167/538.

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 6793/920,3167/538?

Given fractions are 6793/920,3167/538

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 6793/920,3167/538, numerators are 6793,3167

Denominators are 920,538

The GCF of 6793,3167 is 1 .

LCM of 920,538 is 247480.

The greatest common factor of 6793/920,3167/538 = [GCF of 6793,3167]/[LCM of 920,538]= 1/247480

Therefore, the GCF of 6793/920,3167/538 is 1/247480.

Greatest Common Factor of 6793,3167

To find the highest common factor of 6793,3167, we have to find the factors of both numbers and list the highest common factor.

The factors of 6793 are 1, 6793

The factors of 3167 are 1, 3167

The HCF of 6793,3167 is 1.

Lets's calculate GCF of 6793,3167

Greatest Common Factor (GCF) of 6793,3167 By Common Division

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

Greatest Common Factor of 6793,3167 By Matching Biggest Common Factor Method

Greatest Common Factor of 6793,3167 By Matching Biggest Common Factor Method

Now, list down the factors of 6793

:

1,6793

Now, list down the factors of 3167

:

1,3167

Greatest Common Factor

We found the factors 6793,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 6793,3167 is 1.

Lets's calculate LCM of 920,538

Lowest Common Multiple of 920,538 using Common Division

2 920, 538
460, 269

∴ So the LCM of the given numbers is 2 x 460 x 269 = 247480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247480

Therefore, the GCF of Fractions 6793/920,3167/538 is 1/247480

Least Common Multiple of 920,538 with GCF Formula

Least Common Multiple of 920,538 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 920,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,538) = 2

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

GCF(920,538) x common factors =2 x 1 = 2

LCM(920,538) = ( 920 × 538 ) / 2

LCM(920,538) = 494960 / 2

LCM(920,538) = 247480


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FAQs on GCF of Fractions of 6793/920, 3167/538

1. What is the HCF of 6793,3167?

The HCF of 6793,3167 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 6793/920, 3167/538?

Answer: GCF of Numerators as per given numbers 6793/920, 3167/538 is

GCF of Numerators i.e. for 6793,3167 is 1

LCM of denominators i.e. for 920,538 is 247480.

Thus, GCF of Fractions is 1/247480.Finally, GCF of Fractions for 6793/920, 3167/538 is 1/247480.