How to Find GCF of 898/481, 3127/8444?

GCF of 898/481, 3127/8444

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 898/481, 3127/8444 i.e 1/4061564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/481, 3127/8444.

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 898/481,3127/8444?

Given fractions are 898/481,3127/8444

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 898/481,3127/8444, numerators are 898,3127

Denominators are 481,8444

The GCF of 898,3127 is 1 .

LCM of 481,8444 is 4061564.

The greatest common factor of 898/481,3127/8444 = [GCF of 898,3127]/[LCM of 481,8444]= 1/4061564

Therefore, the GCF of 898/481,3127/8444 is 1/4061564.

Greatest Common Factor of 898,3127

To find the highest common factor of 898,3127, we have to find the factors of both numbers and list the highest common factor.

The factors of 898 are 1, 2, 449, 898

The factors of 3127 are 1, 53, 59, 3127

The HCF of 898,3127 is 1.

Lets's calculate GCF of 898,3127

Greatest Common Factor (GCF) of 898,3127 By Common Division

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

Greatest Common Factor of 898,3127 By Matching Biggest Common Factor Method

Now, list down the factors of 898

1,2,449,898

Now, list down the factors of 3127

1,53,59,3127

Greatest Common Factor

We found the factors 898,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 898,3127 is 1.

Lets's calculate LCM of 481,8444

Lowest Common Multiple of 481,8444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4061564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4061564

Therefore, the GCF of Fractions 898/481,3127/8444 is 1/4061564

Least Common Multiple of 481,8444 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 481,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,8444) = 1

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

GCF(481,8444) x common factors =1 x 1 = 1

LCM(481,8444) = ( 481 × 8444 ) / 1

LCM(481,8444) = 4061564 / 1

LCM(481,8444) = 4061564

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 898/481, 3127/8444

1. What is the HCF of 898,3127?

The HCF of 898,3127 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 898/481, 3127/8444?

Answer: GCF of Numerators as per given numbers 898/481, 3127/8444 is

GCF of Numerators i.e. for 898,3127 is 1

LCM of denominators i.e. for 481,8444 is 4061564.

Thus, GCF of Fractions is 1/4061564.Finally, GCF of Fractions for 898/481, 3127/8444 is 1/4061564.