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GCF of 961/308, 219/902

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 961/308, 219/902 i.e 1/12628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/308, 219/902.

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 961/308,219/902?

Given fractions are 961/308,219/902

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 961/308,219/902, numerators are 961,219

Denominators are 308,902

The GCF of 961,219 is 1 .

LCM of 308,902 is 12628.

The greatest common factor of 961/308,219/902 = [GCF of 961,219]/[LCM of 308,902]= 1/12628

Therefore, the GCF of 961/308,219/902 is 1/12628.

Greatest Common Factor of 961,219

To find the highest common factor of 961,219, we have to find the factors of both numbers and list the highest common factor.

The factors of 961 are 1, 31, 961

The factors of 219 are 1, 3, 73, 219

The HCF of 961,219 is 1.

Lets's calculate GCF of 961,219

Greatest Common Factor (GCF) of 961,219 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 961,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,219 By Matching Biggest Common Factor Method

Now, list down the factors of 961

:

1,31,961

Now, list down the factors of 219

:

1,3,73,219

Greatest Common Factor

We found the factors 961,219 . The biggest common factor number is the GCF number.
So the greatest common factor 961,219 is 1.

Lets's calculate LCM of 308,902

Lowest Common Multiple of 308,902 using Common Division

2 308, 902
11 154, 451
14, 41

∴ So the LCM of the given numbers is 2 x 11 x 14 x 41 = 12628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12628

Therefore, the GCF of Fractions 961/308,219/902 is 1/12628

Least Common Multiple of 308,902 with GCF Formula

Least Common Multiple of 308,902 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 308,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,902) = 22

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

GCF(308,902) x common factors =22 x 1 = 22

LCM(308,902) = ( 308 × 902 ) / 22

LCM(308,902) = 277816 / 22

LCM(308,902) = 12628


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FAQs on GCF of Fractions of 961/308, 219/902

1. What is the HCF of 961,219?

The HCF of 961,219 is 1

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 961/308, 219/902?

Answer: GCF of Numerators as per given numbers 961/308, 219/902 is

GCF of Numerators i.e. for 961,219 is 1

LCM of denominators i.e. for 308,902 is 12628.

Thus, GCF of Fractions is 1/12628.Finally, GCF of Fractions for 961/308, 219/902 is 1/12628.