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GCF of 6319/277, 8971/6173

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 6319/277, 8971/6173 i.e 1/1709921 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6319/277, 8971/6173.

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 6319/277,8971/6173?

Given fractions are 6319/277,8971/6173

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 6319/277,8971/6173, numerators are 6319,8971

Denominators are 277,6173

The GCF of 6319,8971 is 1 .

LCM of 277,6173 is 1709921.

The greatest common factor of 6319/277,8971/6173 = [GCF of 6319,8971]/[LCM of 277,6173]= 1/1709921

Therefore, the GCF of 6319/277,8971/6173 is 1/1709921.

Greatest Common Factor of 6319,8971

To find the highest common factor of 6319,8971, we have to find the factors of both numbers and list the highest common factor.

The factors of 6319 are 1, 71, 89, 6319

The factors of 8971 are 1, 8971

The HCF of 6319,8971 is 1.

Lets's calculate GCF of 6319,8971

Greatest Common Factor (GCF) of 6319,8971 By Common Division

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

Greatest Common Factor of 6319,8971 By Matching Biggest Common Factor Method

Greatest Common Factor of 6319,8971 By Matching Biggest Common Factor Method

Now, list down the factors of 6319

:

1,71,89,6319

Now, list down the factors of 8971

:

1,8971

Greatest Common Factor

We found the factors 6319,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 6319,8971 is 1.

Lets's calculate LCM of 277,6173

Lowest Common Multiple of 277,6173 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1709921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709921

Therefore, the GCF of Fractions 6319/277,8971/6173 is 1/1709921

Least Common Multiple of 277,6173 with GCF Formula

Least Common Multiple of 277,6173 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 277,6173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,6173) = 1

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

GCF(277,6173) x common factors =1 x 1 = 1

LCM(277,6173) = ( 277 × 6173 ) / 1

LCM(277,6173) = 1709921 / 1

LCM(277,6173) = 1709921


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FAQs on GCF of Fractions of 6319/277, 8971/6173

1. What is the HCF of 6319,8971?

The HCF of 6319,8971 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 6319/277, 8971/6173?

Answer: GCF of Numerators as per given numbers 6319/277, 8971/6173 is

GCF of Numerators i.e. for 6319,8971 is 1

LCM of denominators i.e. for 277,6173 is 1709921.

Thus, GCF of Fractions is 1/1709921.Finally, GCF of Fractions for 6319/277, 8971/6173 is 1/1709921.