How to Find GCF of 2963/142, 1170/6643?

GCF of 2963/142, 1170/6643

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 2963/142, 1170/6643 i.e 1/943306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2963/142, 1170/6643.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2963/142,1170/6643?

Given fractions are 2963/142,1170/6643

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 2963/142,1170/6643, numerators are 2963,1170

Denominators are 142,6643

The GCF of 2963,1170 is 1 .

LCM of 142,6643 is 943306.

The greatest common factor of 2963/142,1170/6643 = [GCF of 2963,1170]/[LCM of 142,6643]= 1/943306

Therefore, the GCF of 2963/142,1170/6643 is 1/943306.

Greatest Common Factor of 2963,1170

To find the highest common factor of 2963,1170, we have to find the factors of both numbers and list the highest common factor.

The factors of 2963 are 1, 2963

The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

The HCF of 2963,1170 is 1.

Lets's calculate GCF of 2963,1170

Greatest Common Factor (GCF) of 2963,1170 By Common Division

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

Greatest Common Factor of 2963,1170 By Matching Biggest Common Factor Method

Now, list down the factors of 2963

1,2963

Now, list down the factors of 1170

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 2963,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 2963,1170 is 1.

Lets's calculate LCM of 142,6643

Lowest Common Multiple of 142,6643 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 943306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/943306

Therefore, the GCF of Fractions 2963/142,1170/6643 is 1/943306

Least Common Multiple of 142,6643 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 142,6643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,6643) = 1

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

GCF(142,6643) x common factors =1 x 1 = 1

LCM(142,6643) = ( 142 × 6643 ) / 1

LCM(142,6643) = 943306 / 1

LCM(142,6643) = 943306

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FAQs on GCF of Fractions of 2963/142, 1170/6643

1. What is the HCF of 2963,1170?

The HCF of 2963,1170 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 2963/142, 1170/6643?

Answer: GCF of Numerators as per given numbers 2963/142, 1170/6643 is

GCF of Numerators i.e. for 2963,1170 is 1

LCM of denominators i.e. for 142,6643 is 943306.

Thus, GCF of Fractions is 1/943306.Finally, GCF of Fractions for 2963/142, 1170/6643 is 1/943306.