How to Find GCF of 9103/171, 8638/7752?

GCF of 9103/171, 8638/7752

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 9103/171, 8638/7752 i.e 1/23256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9103/171, 8638/7752.

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 9103/171,8638/7752?

Given fractions are 9103/171,8638/7752

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 9103/171,8638/7752, numerators are 9103,8638

Denominators are 171,7752

The GCF of 9103,8638 is 1 .

LCM of 171,7752 is 23256.

The greatest common factor of 9103/171,8638/7752 = [GCF of 9103,8638]/[LCM of 171,7752]= 1/23256

Therefore, the GCF of 9103/171,8638/7752 is 1/23256.

Greatest Common Factor of 9103,8638

To find the highest common factor of 9103,8638, we have to find the factors of both numbers and list the highest common factor.

The factors of 9103 are 1, 9103

The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638

The HCF of 9103,8638 is 1.

Lets's calculate GCF of 9103,8638

Greatest Common Factor (GCF) of 9103,8638 By Common Division

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

Greatest Common Factor of 9103,8638 By Matching Biggest Common Factor Method

Now, list down the factors of 9103

1,9103

Now, list down the factors of 8638

1,2,7,14,617,1234,4319,8638

Greatest Common Factor

We found the factors 9103,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 9103,8638 is 1.

Lets's calculate LCM of 171,7752

Lowest Common Multiple of 171,7752 using Common Division

3	171, 7752
19	57, 2584
	3, 136

∴ So the LCM of the given numbers is 3 x 19 x 3 x 136 = 23256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23256

Therefore, the GCF of Fractions 9103/171,8638/7752 is 1/23256

Least Common Multiple of 171,7752 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 171,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,7752) = 57

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

GCF(171,7752) x common factors =57 x 1 = 57

LCM(171,7752) = ( 171 × 7752 ) / 57

LCM(171,7752) = 1325592 / 57

LCM(171,7752) = 23256

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FAQs on GCF of Fractions of 9103/171, 8638/7752

1. What is the HCF of 9103,8638?

The HCF of 9103,8638 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 9103/171, 8638/7752?

Answer: GCF of Numerators as per given numbers 9103/171, 8638/7752 is

GCF of Numerators i.e. for 9103,8638 is 1

LCM of denominators i.e. for 171,7752 is 23256.

Thus, GCF of Fractions is 1/23256.Finally, GCF of Fractions for 9103/171, 8638/7752 is 1/23256.