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GCF of 5167/683, 8431/4378

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 5167/683, 8431/4378 i.e 1/2990174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5167/683, 8431/4378.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5167/683,8431/4378?

Given fractions are 5167/683,8431/4378

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 5167/683,8431/4378, numerators are 5167,8431

Denominators are 683,4378

The GCF of 5167,8431 is 1 .

LCM of 683,4378 is 2990174.

The greatest common factor of 5167/683,8431/4378 = [GCF of 5167,8431]/[LCM of 683,4378]= 1/2990174

Therefore, the GCF of 5167/683,8431/4378 is 1/2990174.

Greatest Common Factor of 5167,8431

To find the highest common factor of 5167,8431, we have to find the factors of both numbers and list the highest common factor.

The factors of 5167 are 1, 5167

The factors of 8431 are 1, 8431

The HCF of 5167,8431 is 1.

Lets's calculate GCF of 5167,8431

Greatest Common Factor (GCF) of 5167,8431 By Common Division

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

Greatest Common Factor of 5167,8431 By Matching Biggest Common Factor Method

Greatest Common Factor of 5167,8431 By Matching Biggest Common Factor Method

Now, list down the factors of 5167

:

1,5167

Now, list down the factors of 8431

:

1,8431

Greatest Common Factor

We found the factors 5167,8431 . The biggest common factor number is the GCF number.
So the greatest common factor 5167,8431 is 1.


Lets's calculate LCM of 683,4378

Lowest Common Multiple of 683,4378 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2990174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2990174

Therefore, the GCF of Fractions 5167/683,8431/4378 is 1/2990174

Least Common Multiple of 683,4378 with GCF Formula

Least Common Multiple of 683,4378 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 683,4378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,4378) = 1

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

GCF(683,4378) x common factors =1 x 1 = 1

LCM(683,4378) = ( 683 × 4378 ) / 1

LCM(683,4378) = 2990174 / 1

LCM(683,4378) = 2990174


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5167/683, 8431/4378

1. What is the HCF of 5167,8431?

The HCF of 5167,8431 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 5167/683, 8431/4378?

Answer: GCF of Numerators as per given numbers 5167/683, 8431/4378 is

GCF of Numerators i.e. for 5167,8431 is 1

LCM of denominators i.e. for 683,4378 is 2990174.

Thus, GCF of Fractions is 1/2990174.Finally, GCF of Fractions for 5167/683, 8431/4378 is 1/2990174.