How to Find GCF of 158/984, 6401/3128?

GCF of 158/984, 6401/3128

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 158/984, 6401/3128 i.e 1/384744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/984, 6401/3128.

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 158/984,6401/3128?

Given fractions are 158/984,6401/3128

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 158/984,6401/3128, numerators are 158,6401

Denominators are 984,3128

The GCF of 158,6401 is 1 .

LCM of 984,3128 is 384744.

The greatest common factor of 158/984,6401/3128 = [GCF of 158,6401]/[LCM of 984,3128]= 1/384744

Therefore, the GCF of 158/984,6401/3128 is 1/384744.

Greatest Common Factor of 158,6401

To find the highest common factor of 158,6401, we have to find the factors of both numbers and list the highest common factor.

The factors of 158 are 1, 2, 79, 158

The factors of 6401 are 1, 37, 173, 6401

The HCF of 158,6401 is 1.

Lets's calculate GCF of 158,6401

Greatest Common Factor (GCF) of 158,6401 By Common Division

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

Greatest Common Factor of 158,6401 By Matching Biggest Common Factor Method

Now, list down the factors of 158

1,2,79,158

Now, list down the factors of 6401

1,37,173,6401

Greatest Common Factor

We found the factors 158,6401 . The biggest common factor number is the GCF number.
So the greatest common factor 158,6401 is 1.

Lets's calculate LCM of 984,3128

Lowest Common Multiple of 984,3128 using Common Division

2	984, 3128
2	492, 1564
2	246, 782
	123, 391

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 391 = 384744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384744

Therefore, the GCF of Fractions 158/984,6401/3128 is 1/384744

Least Common Multiple of 984,3128 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 984,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,3128) = 8

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

GCF(984,3128) x common factors =8 x 1 = 8

LCM(984,3128) = ( 984 × 3128 ) / 8

LCM(984,3128) = 3077952 / 8

LCM(984,3128) = 384744

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 158/984, 6401/3128

1. What is the HCF of 158,6401?

The HCF of 158,6401 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 158/984, 6401/3128?

Answer: GCF of Numerators as per given numbers 158/984, 6401/3128 is

GCF of Numerators i.e. for 158,6401 is 1

LCM of denominators i.e. for 984,3128 is 384744.

Thus, GCF of Fractions is 1/384744.Finally, GCF of Fractions for 158/984, 6401/3128 is 1/384744.