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GCF of 849/979, 762/349

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 849/979, 762/349 i.e 3/341671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/979, 762/349.

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 849/979,762/349?

Given fractions are 849/979,762/349

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 849/979,762/349, numerators are 849,762

Denominators are 979,349

The GCF of 849,762 is 3 .

LCM of 979,349 is 341671.

The greatest common factor of 849/979,762/349 = [GCF of 849,762]/[LCM of 979,349]= 3/341671

Therefore, the GCF of 849/979,762/349 is 3/341671.

Greatest Common Factor of 849,762

To find the highest common factor of 849,762, 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 762 are 1, 2, 3, 6, 127, 254, 381, 762

The HCF of 849,762 is 3.

Lets's calculate GCF of 849,762

Greatest Common Factor (GCF) of 849,762 By Common Division

3 849, 762
283, 254

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

Greatest Common Factor of 849,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,762 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 762

:

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 849,762 . The biggest common factor number is the GCF number.
So the greatest common factor 849,762 is 3.

Lets's calculate LCM of 979,349

Lowest Common Multiple of 979,349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 341671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/341671

Therefore, the GCF of Fractions 849/979,762/349 is 3/341671

Least Common Multiple of 979,349 with GCF Formula

Least Common Multiple of 979,349 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 979,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,349) = 1

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

GCF(979,349) x common factors =1 x 1 = 1

LCM(979,349) = ( 979 × 349 ) / 1

LCM(979,349) = 341671 / 1

LCM(979,349) = 341671


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FAQs on GCF of Fractions of 849/979, 762/349

1. What is the HCF of 849,762?

The HCF of 849,762 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 849/979, 762/349?

Answer: GCF of Numerators as per given numbers 849/979, 762/349 is

GCF of Numerators i.e. for 849,762 is 3

LCM of denominators i.e. for 979,349 is 341671.

Thus, GCF of Fractions is 3/341671.Finally, GCF of Fractions for 849/979, 762/349 is 3/341671.