How to Find GCF of 7427/956, 7432/9967?

GCF of 7427/956, 7432/9967

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 7427/956, 7432/9967 i.e 1/9528452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7427/956, 7432/9967.

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 7427/956,7432/9967?

Given fractions are 7427/956,7432/9967

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 7427/956,7432/9967, numerators are 7427,7432

Denominators are 956,9967

The GCF of 7427,7432 is 1 .

LCM of 956,9967 is 9528452.

The greatest common factor of 7427/956,7432/9967 = [GCF of 7427,7432]/[LCM of 956,9967]= 1/9528452

Therefore, the GCF of 7427/956,7432/9967 is 1/9528452.

Greatest Common Factor of 7427,7432

To find the highest common factor of 7427,7432, we have to find the factors of both numbers and list the highest common factor.

The factors of 7427 are 1, 7, 1061, 7427

The factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432

The HCF of 7427,7432 is 1.

Lets's calculate GCF of 7427,7432

Greatest Common Factor (GCF) of 7427,7432 By Common Division

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

Greatest Common Factor of 7427,7432 By Matching Biggest Common Factor Method

Now, list down the factors of 7427

1,7,1061,7427

Now, list down the factors of 7432

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors 7427,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,7432 is 1.

Lets's calculate LCM of 956,9967

Lowest Common Multiple of 956,9967 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9528452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9528452

Therefore, the GCF of Fractions 7427/956,7432/9967 is 1/9528452

Least Common Multiple of 956,9967 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 956,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,9967) = 1

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

GCF(956,9967) x common factors =1 x 1 = 1

LCM(956,9967) = ( 956 × 9967 ) / 1

LCM(956,9967) = 9528452 / 1

LCM(956,9967) = 9528452

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7427/956, 7432/9967

1. What is the HCF of 7427,7432?

The HCF of 7427,7432 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 7427/956, 7432/9967?

Answer: GCF of Numerators as per given numbers 7427/956, 7432/9967 is

GCF of Numerators i.e. for 7427,7432 is 1

LCM of denominators i.e. for 956,9967 is 9528452.

Thus, GCF of Fractions is 1/9528452.Finally, GCF of Fractions for 7427/956, 7432/9967 is 1/9528452.