How to Find GCF of 2968/360, 2963/7423?

GCF of 2968/360, 2963/7423

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 2968/360, 2963/7423 i.e 1/2672280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2968/360, 2963/7423.

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 2968/360,2963/7423?

Given fractions are 2968/360,2963/7423

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 2968/360,2963/7423, numerators are 2968,2963

Denominators are 360,7423

The GCF of 2968,2963 is 1 .

LCM of 360,7423 is 2672280.

The greatest common factor of 2968/360,2963/7423 = [GCF of 2968,2963]/[LCM of 360,7423]= 1/2672280

Therefore, the GCF of 2968/360,2963/7423 is 1/2672280.

Greatest Common Factor of 2968,2963

To find the highest common factor of 2968,2963, we have to find the factors of both numbers and list the highest common factor.

The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

The factors of 2963 are 1, 2963

The HCF of 2968,2963 is 1.

Lets's calculate GCF of 2968,2963

Greatest Common Factor (GCF) of 2968,2963 By Common Division

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

Greatest Common Factor of 2968,2963 By Matching Biggest Common Factor Method

Now, list down the factors of 2968

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Now, list down the factors of 2963

1,2963

Greatest Common Factor

We found the factors 2968,2963 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,2963 is 1.

Lets's calculate LCM of 360,7423

Lowest Common Multiple of 360,7423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2672280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2672280

Therefore, the GCF of Fractions 2968/360,2963/7423 is 1/2672280

Least Common Multiple of 360,7423 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 360,7423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,7423) = 1

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

GCF(360,7423) x common factors =1 x 1 = 1

LCM(360,7423) = ( 360 × 7423 ) / 1

LCM(360,7423) = 2672280 / 1

LCM(360,7423) = 2672280

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FAQs on GCF of Fractions of 2968/360, 2963/7423

1. What is the HCF of 2968,2963?

The HCF of 2968,2963 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 2968/360, 2963/7423?

Answer: GCF of Numerators as per given numbers 2968/360, 2963/7423 is

GCF of Numerators i.e. for 2968,2963 is 1

LCM of denominators i.e. for 360,7423 is 2672280.

Thus, GCF of Fractions is 1/2672280.Finally, GCF of Fractions for 2968/360, 2963/7423 is 1/2672280.