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GCF of 8219/277, 6377/729

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 8219/277, 6377/729 i.e 1/201933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8219/277, 6377/729.

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 8219/277,6377/729?

Given fractions are 8219/277,6377/729

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 8219/277,6377/729, numerators are 8219,6377

Denominators are 277,729

The GCF of 8219,6377 is 1 .

LCM of 277,729 is 201933.

The greatest common factor of 8219/277,6377/729 = [GCF of 8219,6377]/[LCM of 277,729]= 1/201933

Therefore, the GCF of 8219/277,6377/729 is 1/201933.

Greatest Common Factor of 8219,6377

To find the highest common factor of 8219,6377, we have to find the factors of both numbers and list the highest common factor.

The factors of 8219 are 1, 8219

The factors of 6377 are 1, 7, 911, 6377

The HCF of 8219,6377 is 1.

Lets's calculate GCF of 8219,6377

Greatest Common Factor (GCF) of 8219,6377 By Common Division

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

Greatest Common Factor of 8219,6377 By Matching Biggest Common Factor Method

Greatest Common Factor of 8219,6377 By Matching Biggest Common Factor Method

Now, list down the factors of 8219

:

1,8219

Now, list down the factors of 6377

:

1,7,911,6377

Greatest Common Factor

We found the factors 8219,6377 . The biggest common factor number is the GCF number.
So the greatest common factor 8219,6377 is 1.

Lets's calculate LCM of 277,729

Lowest Common Multiple of 277,729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 201933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201933

Therefore, the GCF of Fractions 8219/277,6377/729 is 1/201933

Least Common Multiple of 277,729 with GCF Formula

Least Common Multiple of 277,729 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 277,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,729) = 1

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

GCF(277,729) x common factors =1 x 1 = 1

LCM(277,729) = ( 277 × 729 ) / 1

LCM(277,729) = 201933 / 1

LCM(277,729) = 201933


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FAQs on GCF of Fractions of 8219/277, 6377/729

1. What is the HCF of 8219,6377?

The HCF of 8219,6377 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 8219/277, 6377/729?

Answer: GCF of Numerators as per given numbers 8219/277, 6377/729 is

GCF of Numerators i.e. for 8219,6377 is 1

LCM of denominators i.e. for 277,729 is 201933.

Thus, GCF of Fractions is 1/201933.Finally, GCF of Fractions for 8219/277, 6377/729 is 1/201933.