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GCF of 806/605, 962/634

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 806/605, 962/634 i.e 26/383570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/605, 962/634.

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 806/605,962/634?

Given fractions are 806/605,962/634

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 806/605,962/634, numerators are 806,962

Denominators are 605,634

The GCF of 806,962 is 26 .

LCM of 605,634 is 383570.

The greatest common factor of 806/605,962/634 = [GCF of 806,962]/[LCM of 605,634]= 26/383570

Therefore, the GCF of 806/605,962/634 is 26/383570.

Greatest Common Factor of 806,962

To find the highest common factor of 806,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 806,962 is 26.

Lets's calculate GCF of 806,962

Greatest Common Factor (GCF) of 806,962 By Common Division

2 806, 962
13 403, 481
31, 37

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 806,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,962 By Matching Biggest Common Factor Method

Now, list down the factors of 806

:

1,2,13,26,31,62,403,806

Now, list down the factors of 962

:

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 806,962 . The biggest common factor number is the GCF number.
So the greatest common factor 806,962 is 26.

Lets's calculate LCM of 605,634

Lowest Common Multiple of 605,634 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 383570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/383570

Therefore, the GCF of Fractions 806/605,962/634 is 26/383570

Least Common Multiple of 605,634 with GCF Formula

Least Common Multiple of 605,634 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 605,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,634) = 1

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

GCF(605,634) x common factors =1 x 1 = 1

LCM(605,634) = ( 605 × 634 ) / 1

LCM(605,634) = 383570 / 1

LCM(605,634) = 383570


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FAQs on GCF of Fractions of 806/605, 962/634

1. What is the HCF of 806,962?

The HCF of 806,962 is 26

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 806/605, 962/634?

Answer: GCF of Numerators as per given numbers 806/605, 962/634 is

GCF of Numerators i.e. for 806,962 is 26

LCM of denominators i.e. for 605,634 is 383570.

Thus, GCF of Fractions is 26/383570.Finally, GCF of Fractions for 806/605, 962/634 is 26/383570.