How to Find GCF of 8194/959, 9436/675?

GCF of 8194/959, 9436/675

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 8194/959, 9436/675 i.e 2/647325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8194/959, 9436/675.

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 8194/959,9436/675?

Given fractions are 8194/959,9436/675

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 8194/959,9436/675, numerators are 8194,9436

Denominators are 959,675

The GCF of 8194,9436 is 2 .

LCM of 959,675 is 647325.

The greatest common factor of 8194/959,9436/675 = [GCF of 8194,9436]/[LCM of 959,675]= 2/647325

Therefore, the GCF of 8194/959,9436/675 is 2/647325.

Greatest Common Factor of 8194,9436

To find the highest common factor of 8194,9436, we have to find the factors of both numbers and list the highest common factor.

The factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194

The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

The HCF of 8194,9436 is 2.

Lets's calculate GCF of 8194,9436

Greatest Common Factor (GCF) of 8194,9436 By Common Division

2	8194, 9436
	4097, 4718

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8194,9436 By Matching Biggest Common Factor Method

Now, list down the factors of 8194

1,2,17,34,241,482,4097,8194

Now, list down the factors of 9436

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors 8194,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 8194,9436 is 2.

Lets's calculate LCM of 959,675

Lowest Common Multiple of 959,675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 647325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/647325

Therefore, the GCF of Fractions 8194/959,9436/675 is 2/647325

Least Common Multiple of 959,675 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 959,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,675) = 1

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

GCF(959,675) x common factors =1 x 1 = 1

LCM(959,675) = ( 959 × 675 ) / 1

LCM(959,675) = 647325 / 1

LCM(959,675) = 647325

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FAQs on GCF of Fractions of 8194/959, 9436/675

1. What is the HCF of 8194,9436?

The HCF of 8194,9436 is 2

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 8194/959, 9436/675?

Answer: GCF of Numerators as per given numbers 8194/959, 9436/675 is

GCF of Numerators i.e. for 8194,9436 is 2

LCM of denominators i.e. for 959,675 is 647325.

Thus, GCF of Fractions is 2/647325.Finally, GCF of Fractions for 8194/959, 9436/675 is 2/647325.