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GCF of 6551/211, 8956/839

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 6551/211, 8956/839 i.e 1/177029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6551/211, 8956/839.

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 6551/211,8956/839?

Given fractions are 6551/211,8956/839

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 6551/211,8956/839, numerators are 6551,8956

Denominators are 211,839

The GCF of 6551,8956 is 1 .

LCM of 211,839 is 177029.

The greatest common factor of 6551/211,8956/839 = [GCF of 6551,8956]/[LCM of 211,839]= 1/177029

Therefore, the GCF of 6551/211,8956/839 is 1/177029.

Greatest Common Factor of 6551,8956

To find the highest common factor of 6551,8956, we have to find the factors of both numbers and list the highest common factor.

The factors of 6551 are 1, 6551

The factors of 8956 are 1, 2, 4, 2239, 4478, 8956

The HCF of 6551,8956 is 1.

Lets's calculate GCF of 6551,8956

Greatest Common Factor (GCF) of 6551,8956 By Common Division

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

Greatest Common Factor of 6551,8956 By Matching Biggest Common Factor Method

Greatest Common Factor of 6551,8956 By Matching Biggest Common Factor Method

Now, list down the factors of 6551

:

1,6551

Now, list down the factors of 8956

:

1,2,4,2239,4478,8956

Greatest Common Factor

We found the factors 6551,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 6551,8956 is 1.

Lets's calculate LCM of 211,839

Lowest Common Multiple of 211,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 177029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177029

Therefore, the GCF of Fractions 6551/211,8956/839 is 1/177029

Least Common Multiple of 211,839 with GCF Formula

Least Common Multiple of 211,839 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 211,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,839) = 1

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

GCF(211,839) x common factors =1 x 1 = 1

LCM(211,839) = ( 211 × 839 ) / 1

LCM(211,839) = 177029 / 1

LCM(211,839) = 177029


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FAQs on GCF of Fractions of 6551/211, 8956/839

1. What is the HCF of 6551,8956?

The HCF of 6551,8956 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 6551/211, 8956/839?

Answer: GCF of Numerators as per given numbers 6551/211, 8956/839 is

GCF of Numerators i.e. for 6551,8956 is 1

LCM of denominators i.e. for 211,839 is 177029.

Thus, GCF of Fractions is 1/177029.Finally, GCF of Fractions for 6551/211, 8956/839 is 1/177029.