How to Find GCF of 8989/437, 9353/104?

GCF of 8989/437, 9353/104

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 8989/437, 9353/104 i.e 1/45448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8989/437, 9353/104.

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 8989/437,9353/104?

Given fractions are 8989/437,9353/104

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 8989/437,9353/104, numerators are 8989,9353

Denominators are 437,104

The GCF of 8989,9353 is 1 .

LCM of 437,104 is 45448.

The greatest common factor of 8989/437,9353/104 = [GCF of 8989,9353]/[LCM of 437,104]= 1/45448

Therefore, the GCF of 8989/437,9353/104 is 1/45448.

Greatest Common Factor of 8989,9353

To find the highest common factor of 8989,9353, we have to find the factors of both numbers and list the highest common factor.

The factors of 8989 are 1, 89, 101, 8989

The factors of 9353 are 1, 47, 199, 9353

The HCF of 8989,9353 is 1.

Lets's calculate GCF of 8989,9353

Greatest Common Factor (GCF) of 8989,9353 By Common Division

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

Greatest Common Factor of 8989,9353 By Matching Biggest Common Factor Method

Now, list down the factors of 8989

1,89,101,8989

Now, list down the factors of 9353

1,47,199,9353

Greatest Common Factor

We found the factors 8989,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 8989,9353 is 1.

Lets's calculate LCM of 437,104

Lowest Common Multiple of 437,104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45448

Therefore, the GCF of Fractions 8989/437,9353/104 is 1/45448

Least Common Multiple of 437,104 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 437,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,104) = 1

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

GCF(437,104) x common factors =1 x 1 = 1

LCM(437,104) = ( 437 × 104 ) / 1

LCM(437,104) = 45448 / 1

LCM(437,104) = 45448

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FAQs on GCF of Fractions of 8989/437, 9353/104

1. What is the HCF of 8989,9353?

The HCF of 8989,9353 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 8989/437, 9353/104?

Answer: GCF of Numerators as per given numbers 8989/437, 9353/104 is

GCF of Numerators i.e. for 8989,9353 is 1

LCM of denominators i.e. for 437,104 is 45448.

Thus, GCF of Fractions is 1/45448.Finally, GCF of Fractions for 8989/437, 9353/104 is 1/45448.