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GCF of 6187/920, 6827/1363

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 6187/920, 6827/1363 i.e 1/1253960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6187/920, 6827/1363.

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 6187/920,6827/1363?

Given fractions are 6187/920,6827/1363

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 6187/920,6827/1363, numerators are 6187,6827

Denominators are 920,1363

The GCF of 6187,6827 is 1 .

LCM of 920,1363 is 1253960.

The greatest common factor of 6187/920,6827/1363 = [GCF of 6187,6827]/[LCM of 920,1363]= 1/1253960

Therefore, the GCF of 6187/920,6827/1363 is 1/1253960.

Greatest Common Factor of 6187,6827

To find the highest common factor of 6187,6827, we have to find the factors of both numbers and list the highest common factor.

The factors of 6187 are 1, 23, 269, 6187

The factors of 6827 are 1, 6827

The HCF of 6187,6827 is 1.

Lets's calculate GCF of 6187,6827

Greatest Common Factor (GCF) of 6187,6827 By Common Division

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

Greatest Common Factor of 6187,6827 By Matching Biggest Common Factor Method

Greatest Common Factor of 6187,6827 By Matching Biggest Common Factor Method

Now, list down the factors of 6187

:

1,23,269,6187

Now, list down the factors of 6827

:

1,6827

Greatest Common Factor

We found the factors 6187,6827 . The biggest common factor number is the GCF number.
So the greatest common factor 6187,6827 is 1.

Lets's calculate LCM of 920,1363

Lowest Common Multiple of 920,1363 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1253960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1253960

Therefore, the GCF of Fractions 6187/920,6827/1363 is 1/1253960

Least Common Multiple of 920,1363 with GCF Formula

Least Common Multiple of 920,1363 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 920,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,1363) = 1

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

GCF(920,1363) x common factors =1 x 1 = 1

LCM(920,1363) = ( 920 × 1363 ) / 1

LCM(920,1363) = 1253960 / 1

LCM(920,1363) = 1253960


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FAQs on GCF of Fractions of 6187/920, 6827/1363

1. What is the HCF of 6187,6827?

The HCF of 6187,6827 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 6187/920, 6827/1363?

Answer: GCF of Numerators as per given numbers 6187/920, 6827/1363 is

GCF of Numerators i.e. for 6187,6827 is 1

LCM of denominators i.e. for 920,1363 is 1253960.

Thus, GCF of Fractions is 1/1253960.Finally, GCF of Fractions for 6187/920, 6827/1363 is 1/1253960.