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GCF of 849/666, 8557/3616

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 849/666, 8557/3616 i.e 1/1204128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/666, 8557/3616.

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 849/666,8557/3616?

Given fractions are 849/666,8557/3616

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 849/666,8557/3616, numerators are 849,8557

Denominators are 666,3616

The GCF of 849,8557 is 1 .

LCM of 666,3616 is 1204128.

The greatest common factor of 849/666,8557/3616 = [GCF of 849,8557]/[LCM of 666,3616]= 1/1204128

Therefore, the GCF of 849/666,8557/3616 is 1/1204128.

Greatest Common Factor of 849,8557

To find the highest common factor of 849,8557, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 8557 are 1, 43, 199, 8557

The HCF of 849,8557 is 1.

Lets's calculate GCF of 849,8557

Greatest Common Factor (GCF) of 849,8557 By Common Division

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

Greatest Common Factor of 849,8557 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,8557 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 8557

:

1,43,199,8557

Greatest Common Factor

We found the factors 849,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 849,8557 is 1.

Lets's calculate LCM of 666,3616

Lowest Common Multiple of 666,3616 using Common Division

2 666, 3616
333, 1808

∴ So the LCM of the given numbers is 2 x 333 x 1808 = 1204128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1204128

Therefore, the GCF of Fractions 849/666,8557/3616 is 1/1204128

Least Common Multiple of 666,3616 with GCF Formula

Least Common Multiple of 666,3616 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 666,3616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,3616) = 2

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

GCF(666,3616) x common factors =2 x 1 = 2

LCM(666,3616) = ( 666 × 3616 ) / 2

LCM(666,3616) = 2408256 / 2

LCM(666,3616) = 1204128


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FAQs on GCF of Fractions of 849/666, 8557/3616

1. What is the HCF of 849,8557?

The HCF of 849,8557 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 849/666, 8557/3616?

Answer: GCF of Numerators as per given numbers 849/666, 8557/3616 is

GCF of Numerators i.e. for 849,8557 is 1

LCM of denominators i.e. for 666,3616 is 1204128.

Thus, GCF of Fractions is 1/1204128.Finally, GCF of Fractions for 849/666, 8557/3616 is 1/1204128.