How to Find GCF of 7341/187, 5962/7293?

GCF of 7341/187, 5962/7293

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 7341/187, 5962/7293 i.e 1/7293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7341/187, 5962/7293.

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 7341/187,5962/7293?

Given fractions are 7341/187,5962/7293

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 7341/187,5962/7293, numerators are 7341,5962

Denominators are 187,7293

The GCF of 7341,5962 is 1 .

LCM of 187,7293 is 7293.

The greatest common factor of 7341/187,5962/7293 = [GCF of 7341,5962]/[LCM of 187,7293]= 1/7293

Therefore, the GCF of 7341/187,5962/7293 is 1/7293.

Greatest Common Factor of 7341,5962

To find the highest common factor of 7341,5962, we have to find the factors of both numbers and list the highest common factor.

The factors of 7341 are 1, 3, 2447, 7341

The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962

The HCF of 7341,5962 is 1.

Lets's calculate GCF of 7341,5962

Greatest Common Factor (GCF) of 7341,5962 By Common Division

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

Greatest Common Factor of 7341,5962 By Matching Biggest Common Factor Method

Now, list down the factors of 7341

1,3,2447,7341

Now, list down the factors of 5962

1,2,11,22,271,542,2981,5962

Greatest Common Factor

We found the factors 7341,5962 . The biggest common factor number is the GCF number.
So the greatest common factor 7341,5962 is 1.

Lets's calculate LCM of 187,7293

Lowest Common Multiple of 187,7293 using Common Division

11	187, 7293
17	17, 663
	1, 39

∴ So the LCM of the given numbers is 11 x 17 x 1 x 39 = 7293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7293

Therefore, the GCF of Fractions 7341/187,5962/7293 is 1/7293

Least Common Multiple of 187,7293 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 187,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,7293) = 187

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

GCF(187,7293) x common factors =187 x 1 = 187

LCM(187,7293) = ( 187 × 7293 ) / 187

LCM(187,7293) = 1363791 / 187

LCM(187,7293) = 7293

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FAQs on GCF of Fractions of 7341/187, 5962/7293

1. What is the HCF of 7341,5962?

The HCF of 7341,5962 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 7341/187, 5962/7293?

Answer: GCF of Numerators as per given numbers 7341/187, 5962/7293 is

GCF of Numerators i.e. for 7341,5962 is 1

LCM of denominators i.e. for 187,7293 is 7293.

Thus, GCF of Fractions is 1/7293.Finally, GCF of Fractions for 7341/187, 5962/7293 is 1/7293.