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GCF of 849/64, 399/364

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 849/64, 399/364 i.e 3/5824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/64, 399/364.

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 849/64,399/364?

Given fractions are 849/64,399/364

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 849/64,399/364, numerators are 849,399

Denominators are 64,364

The GCF of 849,399 is 3 .

LCM of 64,364 is 5824.

The greatest common factor of 849/64,399/364 = [GCF of 849,399]/[LCM of 64,364]= 3/5824

Therefore, the GCF of 849/64,399/364 is 3/5824.

Greatest Common Factor of 849,399

To find the highest common factor of 849,399, 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 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 849,399 is 3.

Lets's calculate GCF of 849,399

Greatest Common Factor (GCF) of 849,399 By Common Division

3 849, 399
283, 133

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 849,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,399 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 399

:

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 849,399 . The biggest common factor number is the GCF number.
So the greatest common factor 849,399 is 3.

Lets's calculate LCM of 64,364

Lowest Common Multiple of 64,364 using Common Division

2 64, 364
2 32, 182
16, 91

∴ So the LCM of the given numbers is 2 x 2 x 16 x 91 = 5824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5824

Therefore, the GCF of Fractions 849/64,399/364 is 3/5824

Least Common Multiple of 64,364 with GCF Formula

Least Common Multiple of 64,364 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 64,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,364) = 4

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

GCF(64,364) x common factors =4 x 1 = 4

LCM(64,364) = ( 64 × 364 ) / 4

LCM(64,364) = 23296 / 4

LCM(64,364) = 5824


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FAQs on GCF of Fractions of 849/64, 399/364

1. What is the HCF of 849,399?

The HCF of 849,399 is 3

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 849/64, 399/364?

Answer: GCF of Numerators as per given numbers 849/64, 399/364 is

GCF of Numerators i.e. for 849,399 is 3

LCM of denominators i.e. for 64,364 is 5824.

Thus, GCF of Fractions is 3/5824.Finally, GCF of Fractions for 849/64, 399/364 is 3/5824.