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GCF of 2966/979, 3442/111

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 2966/979, 3442/111 i.e 2/108669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2966/979, 3442/111.

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 2966/979,3442/111?

Given fractions are 2966/979,3442/111

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 2966/979,3442/111, numerators are 2966,3442

Denominators are 979,111

The GCF of 2966,3442 is 2 .

LCM of 979,111 is 108669.

The greatest common factor of 2966/979,3442/111 = [GCF of 2966,3442]/[LCM of 979,111]= 2/108669

Therefore, the GCF of 2966/979,3442/111 is 2/108669.

Greatest Common Factor of 2966,3442

To find the highest common factor of 2966,3442, we have to find the factors of both numbers and list the highest common factor.

The factors of 2966 are 1, 2, 1483, 2966

The factors of 3442 are 1, 2, 1721, 3442

The HCF of 2966,3442 is 2.

Lets's calculate GCF of 2966,3442

Greatest Common Factor (GCF) of 2966,3442 By Common Division

2 2966, 3442
1483, 1721

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

Greatest Common Factor of 2966,3442 By Matching Biggest Common Factor Method

Greatest Common Factor of 2966,3442 By Matching Biggest Common Factor Method

Now, list down the factors of 2966

:

1,2,1483,2966

Now, list down the factors of 3442

:

1,2,1721,3442

Greatest Common Factor

We found the factors 2966,3442 . The biggest common factor number is the GCF number.
So the greatest common factor 2966,3442 is 2.

Lets's calculate LCM of 979,111

Lowest Common Multiple of 979,111 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108669

Therefore, the GCF of Fractions 2966/979,3442/111 is 2/108669

Least Common Multiple of 979,111 with GCF Formula

Least Common Multiple of 979,111 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 979,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,111) = 1

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

GCF(979,111) x common factors =1 x 1 = 1

LCM(979,111) = ( 979 × 111 ) / 1

LCM(979,111) = 108669 / 1

LCM(979,111) = 108669


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2966/979, 3442/111

1. What is the HCF of 2966,3442?

The HCF of 2966,3442 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 2966/979, 3442/111?

Answer: GCF of Numerators as per given numbers 2966/979, 3442/111 is

GCF of Numerators i.e. for 2966,3442 is 2

LCM of denominators i.e. for 979,111 is 108669.

Thus, GCF of Fractions is 2/108669.Finally, GCF of Fractions for 2966/979, 3442/111 is 2/108669.