How to Find GCF of 9103/957, 8326/7213?

GCF of 9103/957, 8326/7213

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 9103/957, 8326/7213 i.e 1/6902841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9103/957, 8326/7213.

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 9103/957,8326/7213?

Given fractions are 9103/957,8326/7213

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 9103/957,8326/7213, numerators are 9103,8326

Denominators are 957,7213

The GCF of 9103,8326 is 1 .

LCM of 957,7213 is 6902841.

The greatest common factor of 9103/957,8326/7213 = [GCF of 9103,8326]/[LCM of 957,7213]= 1/6902841

Therefore, the GCF of 9103/957,8326/7213 is 1/6902841.

Greatest Common Factor of 9103,8326

To find the highest common factor of 9103,8326, 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 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326

The HCF of 9103,8326 is 1.

Lets's calculate GCF of 9103,8326

Greatest Common Factor (GCF) of 9103,8326 By Common Division

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

Greatest Common Factor of 9103,8326 By Matching Biggest Common Factor Method

Now, list down the factors of 9103

1,9103

Now, list down the factors of 8326

1,2,23,46,181,362,4163,8326

Greatest Common Factor

We found the factors 9103,8326 . The biggest common factor number is the GCF number.
So the greatest common factor 9103,8326 is 1.

Lets's calculate LCM of 957,7213

Lowest Common Multiple of 957,7213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6902841

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6902841

Therefore, the GCF of Fractions 9103/957,8326/7213 is 1/6902841

Least Common Multiple of 957,7213 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 957,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,7213) = 1

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

GCF(957,7213) x common factors =1 x 1 = 1

LCM(957,7213) = ( 957 × 7213 ) / 1

LCM(957,7213) = 6902841 / 1

LCM(957,7213) = 6902841

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FAQs on GCF of Fractions of 9103/957, 8326/7213

1. What is the HCF of 9103,8326?

The HCF of 9103,8326 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 9103/957, 8326/7213?

Answer: GCF of Numerators as per given numbers 9103/957, 8326/7213 is

GCF of Numerators i.e. for 9103,8326 is 1

LCM of denominators i.e. for 957,7213 is 6902841.

Thus, GCF of Fractions is 1/6902841.Finally, GCF of Fractions for 9103/957, 8326/7213 is 1/6902841.