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GCF of 442/332, 6946/9961

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 442/332, 6946/9961 i.e 2/3307052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/332, 6946/9961.

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 442/332,6946/9961?

Given fractions are 442/332,6946/9961

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 442/332,6946/9961, numerators are 442,6946

Denominators are 332,9961

The GCF of 442,6946 is 2 .

LCM of 332,9961 is 3307052.

The greatest common factor of 442/332,6946/9961 = [GCF of 442,6946]/[LCM of 332,9961]= 2/3307052

Therefore, the GCF of 442/332,6946/9961 is 2/3307052.

Greatest Common Factor of 442,6946

To find the highest common factor of 442,6946, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946

The HCF of 442,6946 is 2.

Lets's calculate GCF of 442,6946

Greatest Common Factor (GCF) of 442,6946 By Common Division

2 442, 6946
221, 3473

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

Greatest Common Factor of 442,6946 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,6946 By Matching Biggest Common Factor Method

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Now, list down the factors of 6946

:

1,2,23,46,151,302,3473,6946

Greatest Common Factor

We found the factors 442,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 442,6946 is 2.


Lets's calculate LCM of 332,9961

Lowest Common Multiple of 332,9961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3307052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3307052

Therefore, the GCF of Fractions 442/332,6946/9961 is 2/3307052

Least Common Multiple of 332,9961 with GCF Formula

Least Common Multiple of 332,9961 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 332,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,9961) = 1

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

GCF(332,9961) x common factors =1 x 1 = 1

LCM(332,9961) = ( 332 × 9961 ) / 1

LCM(332,9961) = 3307052 / 1

LCM(332,9961) = 3307052


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 442/332, 6946/9961

1. What is the HCF of 442,6946?

The HCF of 442,6946 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 442/332, 6946/9961?

Answer: GCF of Numerators as per given numbers 442/332, 6946/9961 is

GCF of Numerators i.e. for 442,6946 is 2

LCM of denominators i.e. for 332,9961 is 3307052.

Thus, GCF of Fractions is 2/3307052.Finally, GCF of Fractions for 442/332, 6946/9961 is 2/3307052.