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GCF of 5379/985, 6874/5254

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 5379/985, 6874/5254 i.e 1/5175190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5379/985, 6874/5254.

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 5379/985,6874/5254?

Given fractions are 5379/985,6874/5254

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 5379/985,6874/5254, numerators are 5379,6874

Denominators are 985,5254

The GCF of 5379,6874 is 1 .

LCM of 985,5254 is 5175190.

The greatest common factor of 5379/985,6874/5254 = [GCF of 5379,6874]/[LCM of 985,5254]= 1/5175190

Therefore, the GCF of 5379/985,6874/5254 is 1/5175190.

Greatest Common Factor of 5379,6874

To find the highest common factor of 5379,6874, we have to find the factors of both numbers and list the highest common factor.

The factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379

The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874

The HCF of 5379,6874 is 1.

Lets's calculate GCF of 5379,6874

Greatest Common Factor (GCF) of 5379,6874 By Common Division

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

Greatest Common Factor of 5379,6874 By Matching Biggest Common Factor Method

Greatest Common Factor of 5379,6874 By Matching Biggest Common Factor Method

Now, list down the factors of 5379

:

1,3,11,33,163,489,1793,5379

Now, list down the factors of 6874

:

1,2,7,14,491,982,3437,6874

Greatest Common Factor

We found the factors 5379,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 5379,6874 is 1.


Lets's calculate LCM of 985,5254

Lowest Common Multiple of 985,5254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5175190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5175190

Therefore, the GCF of Fractions 5379/985,6874/5254 is 1/5175190

Least Common Multiple of 985,5254 with GCF Formula

Least Common Multiple of 985,5254 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 985,5254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,5254) = 1

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

GCF(985,5254) x common factors =1 x 1 = 1

LCM(985,5254) = ( 985 × 5254 ) / 1

LCM(985,5254) = 5175190 / 1

LCM(985,5254) = 5175190


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5379/985, 6874/5254

1. What is the HCF of 5379,6874?

The HCF of 5379,6874 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 5379/985, 6874/5254?

Answer: GCF of Numerators as per given numbers 5379/985, 6874/5254 is

GCF of Numerators i.e. for 5379,6874 is 1

LCM of denominators i.e. for 985,5254 is 5175190.

Thus, GCF of Fractions is 1/5175190.Finally, GCF of Fractions for 5379/985, 6874/5254 is 1/5175190.