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GCF of 836/798, 610/282

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 836/798, 610/282 i.e 2/37506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/798, 610/282.

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 836/798,610/282?

Given fractions are 836/798,610/282

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 836/798,610/282, numerators are 836,610

Denominators are 798,282

The GCF of 836,610 is 2 .

LCM of 798,282 is 37506.

The greatest common factor of 836/798,610/282 = [GCF of 836,610]/[LCM of 798,282]= 2/37506

Therefore, the GCF of 836/798,610/282 is 2/37506.

Greatest Common Factor of 836,610

To find the highest common factor of 836,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 836,610 is 2.

Lets's calculate GCF of 836,610

Greatest Common Factor (GCF) of 836,610 By Common Division

2 836, 610
418, 305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 836,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,610 By Matching Biggest Common Factor Method

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 836,610 . The biggest common factor number is the GCF number.
So the greatest common factor 836,610 is 2.

Lets's calculate LCM of 798,282

Lowest Common Multiple of 798,282 using Common Division

2 798, 282
3 399, 141
133, 47

∴ So the LCM of the given numbers is 2 x 3 x 133 x 47 = 37506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37506

Therefore, the GCF of Fractions 836/798,610/282 is 2/37506

Least Common Multiple of 798,282 with GCF Formula

Least Common Multiple of 798,282 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 798,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,282) = 6

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

GCF(798,282) x common factors =6 x 1 = 6

LCM(798,282) = ( 798 × 282 ) / 6

LCM(798,282) = 225036 / 6

LCM(798,282) = 37506


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FAQs on GCF of Fractions of 836/798, 610/282

1. What is the HCF of 836,610?

The HCF of 836,610 is 2

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 836/798, 610/282?

Answer: GCF of Numerators as per given numbers 836/798, 610/282 is

GCF of Numerators i.e. for 836,610 is 2

LCM of denominators i.e. for 798,282 is 37506.

Thus, GCF of Fractions is 2/37506.Finally, GCF of Fractions for 836/798, 610/282 is 2/37506.