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GCF of 849/596, 9615/108

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 849/596, 9615/108 i.e 3/16092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/596, 9615/108.

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 849/596,9615/108?

Given fractions are 849/596,9615/108

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 849/596,9615/108, numerators are 849,9615

Denominators are 596,108

The GCF of 849,9615 is 3 .

LCM of 596,108 is 16092.

The greatest common factor of 849/596,9615/108 = [GCF of 849,9615]/[LCM of 596,108]= 3/16092

Therefore, the GCF of 849/596,9615/108 is 3/16092.

Greatest Common Factor of 849,9615

To find the highest common factor of 849,9615, 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 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615

The HCF of 849,9615 is 3.

Lets's calculate GCF of 849,9615

Greatest Common Factor (GCF) of 849,9615 By Common Division

3 849, 9615
283, 3205

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

Greatest Common Factor of 849,9615 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,9615 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 9615

:

1,3,5,15,641,1923,3205,9615

Greatest Common Factor

We found the factors 849,9615 . The biggest common factor number is the GCF number.
So the greatest common factor 849,9615 is 3.

Lets's calculate LCM of 596,108

Lowest Common Multiple of 596,108 using Common Division

2 596, 108
2 298, 54
149, 27

∴ So the LCM of the given numbers is 2 x 2 x 149 x 27 = 16092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16092

Therefore, the GCF of Fractions 849/596,9615/108 is 3/16092

Least Common Multiple of 596,108 with GCF Formula

Least Common Multiple of 596,108 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 596,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,108) = 4

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

GCF(596,108) x common factors =4 x 1 = 4

LCM(596,108) = ( 596 × 108 ) / 4

LCM(596,108) = 64368 / 4

LCM(596,108) = 16092


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FAQs on GCF of Fractions of 849/596, 9615/108

1. What is the HCF of 849,9615?

The HCF of 849,9615 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 849/596, 9615/108?

Answer: GCF of Numerators as per given numbers 849/596, 9615/108 is

GCF of Numerators i.e. for 849,9615 is 3

LCM of denominators i.e. for 596,108 is 16092.

Thus, GCF of Fractions is 3/16092.Finally, GCF of Fractions for 849/596, 9615/108 is 3/16092.