How to Find GCF of 9496/879, 8089/267?

GCF of 9496/879, 8089/267

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 9496/879, 8089/267 i.e 1/78231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9496/879, 8089/267.

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 9496/879,8089/267?

Given fractions are 9496/879,8089/267

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 9496/879,8089/267, numerators are 9496,8089

Denominators are 879,267

The GCF of 9496,8089 is 1 .

LCM of 879,267 is 78231.

The greatest common factor of 9496/879,8089/267 = [GCF of 9496,8089]/[LCM of 879,267]= 1/78231

Therefore, the GCF of 9496/879,8089/267 is 1/78231.

Greatest Common Factor of 9496,8089

To find the highest common factor of 9496,8089, we have to find the factors of both numbers and list the highest common factor.

The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496

The factors of 8089 are 1, 8089

The HCF of 9496,8089 is 1.

Lets's calculate GCF of 9496,8089

Greatest Common Factor (GCF) of 9496,8089 By Common Division

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

Greatest Common Factor of 9496,8089 By Matching Biggest Common Factor Method

Now, list down the factors of 9496

1,2,4,8,1187,2374,4748,9496

Now, list down the factors of 8089

1,8089

Greatest Common Factor

We found the factors 9496,8089 . The biggest common factor number is the GCF number.
So the greatest common factor 9496,8089 is 1.

Lets's calculate LCM of 879,267

Lowest Common Multiple of 879,267 using Common Division

3	879, 267
	293, 89

∴ So the LCM of the given numbers is 3 x 293 x 89 = 78231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78231

Therefore, the GCF of Fractions 9496/879,8089/267 is 1/78231

Least Common Multiple of 879,267 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 879,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,267) = 3

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

GCF(879,267) x common factors =3 x 1 = 3

LCM(879,267) = ( 879 × 267 ) / 3

LCM(879,267) = 234693 / 3

LCM(879,267) = 78231

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FAQs on GCF of Fractions of 9496/879, 8089/267

1. What is the HCF of 9496,8089?

The HCF of 9496,8089 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 9496/879, 8089/267?

Answer: GCF of Numerators as per given numbers 9496/879, 8089/267 is

GCF of Numerators i.e. for 9496,8089 is 1

LCM of denominators i.e. for 879,267 is 78231.

Thus, GCF of Fractions is 1/78231.Finally, GCF of Fractions for 9496/879, 8089/267 is 1/78231.