How to Find GCF of 9086/172, 3543/9952?

GCF of 9086/172, 3543/9952

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 9086/172, 3543/9952 i.e 1/427936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9086/172, 3543/9952.

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 9086/172,3543/9952?

Given fractions are 9086/172,3543/9952

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 9086/172,3543/9952, numerators are 9086,3543

Denominators are 172,9952

The GCF of 9086,3543 is 1 .

LCM of 172,9952 is 427936.

The greatest common factor of 9086/172,3543/9952 = [GCF of 9086,3543]/[LCM of 172,9952]= 1/427936

Therefore, the GCF of 9086/172,3543/9952 is 1/427936.

Greatest Common Factor of 9086,3543

To find the highest common factor of 9086,3543, we have to find the factors of both numbers and list the highest common factor.

The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086

The factors of 3543 are 1, 3, 1181, 3543

The HCF of 9086,3543 is 1.

Lets's calculate GCF of 9086,3543

Greatest Common Factor (GCF) of 9086,3543 By Common Division

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

Greatest Common Factor of 9086,3543 By Matching Biggest Common Factor Method

Now, list down the factors of 9086

1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086

Now, list down the factors of 3543

1,3,1181,3543

Greatest Common Factor

We found the factors 9086,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,3543 is 1.

Lets's calculate LCM of 172,9952

Lowest Common Multiple of 172,9952 using Common Division

2	172, 9952
2	86, 4976
	43, 2488

∴ So the LCM of the given numbers is 2 x 2 x 43 x 2488 = 427936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427936

Therefore, the GCF of Fractions 9086/172,3543/9952 is 1/427936

Least Common Multiple of 172,9952 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 172,9952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,9952) = 4

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

GCF(172,9952) x common factors =4 x 1 = 4

LCM(172,9952) = ( 172 × 9952 ) / 4

LCM(172,9952) = 1711744 / 4

LCM(172,9952) = 427936

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FAQs on GCF of Fractions of 9086/172, 3543/9952

1. What is the HCF of 9086,3543?

The HCF of 9086,3543 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 9086/172, 3543/9952?

Answer: GCF of Numerators as per given numbers 9086/172, 3543/9952 is

GCF of Numerators i.e. for 9086,3543 is 1

LCM of denominators i.e. for 172,9952 is 427936.

Thus, GCF of Fractions is 1/427936.Finally, GCF of Fractions for 9086/172, 3543/9952 is 1/427936.