How to Find GCF of 7427/942, 3316/7415?

GCF of 7427/942, 3316/7415

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 7427/942, 3316/7415 i.e 1/6984930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7427/942, 3316/7415.

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 7427/942,3316/7415?

Given fractions are 7427/942,3316/7415

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 7427/942,3316/7415, numerators are 7427,3316

Denominators are 942,7415

The GCF of 7427,3316 is 1 .

LCM of 942,7415 is 6984930.

The greatest common factor of 7427/942,3316/7415 = [GCF of 7427,3316]/[LCM of 942,7415]= 1/6984930

Therefore, the GCF of 7427/942,3316/7415 is 1/6984930.

Greatest Common Factor of 7427,3316

To find the highest common factor of 7427,3316, 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 3316 are 1, 2, 4, 829, 1658, 3316

The HCF of 7427,3316 is 1.

Lets's calculate GCF of 7427,3316

Greatest Common Factor (GCF) of 7427,3316 By Common Division

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

Greatest Common Factor of 7427,3316 By Matching Biggest Common Factor Method

Now, list down the factors of 7427

1,7,1061,7427

Now, list down the factors of 3316

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors 7427,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,3316 is 1.

Lets's calculate LCM of 942,7415

Lowest Common Multiple of 942,7415 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6984930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6984930

Therefore, the GCF of Fractions 7427/942,3316/7415 is 1/6984930

Least Common Multiple of 942,7415 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 942,7415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7415) = 1

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

GCF(942,7415) x common factors =1 x 1 = 1

LCM(942,7415) = ( 942 × 7415 ) / 1

LCM(942,7415) = 6984930 / 1

LCM(942,7415) = 6984930

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FAQs on GCF of Fractions of 7427/942, 3316/7415

1. What is the HCF of 7427,3316?

The HCF of 7427,3316 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 7427/942, 3316/7415?

Answer: GCF of Numerators as per given numbers 7427/942, 3316/7415 is

GCF of Numerators i.e. for 7427,3316 is 1

LCM of denominators i.e. for 942,7415 is 6984930.

Thus, GCF of Fractions is 1/6984930.Finally, GCF of Fractions for 7427/942, 3316/7415 is 1/6984930.