How to Find GCF of 973/249, 162/598?

GCF of 973/249, 162/598

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 973/249, 162/598 i.e 1/148902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/249, 162/598.

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 973/249,162/598?

Given fractions are 973/249,162/598

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 973/249,162/598, numerators are 973,162

Denominators are 249,598

The GCF of 973,162 is 1 .

LCM of 249,598 is 148902.

The greatest common factor of 973/249,162/598 = [GCF of 973,162]/[LCM of 249,598]= 1/148902

Therefore, the GCF of 973/249,162/598 is 1/148902.

Greatest Common Factor of 973,162

To find the highest common factor of 973,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 973 are 1, 7, 139, 973

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 973,162 is 1.

Lets's calculate GCF of 973,162

Greatest Common Factor (GCF) of 973,162 By Common Division

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

Greatest Common Factor of 973,162 By Matching Biggest Common Factor Method

Now, list down the factors of 973

1,7,139,973

Now, list down the factors of 162

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 973,162 . The biggest common factor number is the GCF number.
So the greatest common factor 973,162 is 1.

Lets's calculate LCM of 249,598

Lowest Common Multiple of 249,598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148902

Therefore, the GCF of Fractions 973/249,162/598 is 1/148902

Least Common Multiple of 249,598 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 249,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,598) = 1

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

GCF(249,598) x common factors =1 x 1 = 1

LCM(249,598) = ( 249 × 598 ) / 1

LCM(249,598) = 148902 / 1

LCM(249,598) = 148902

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 973/249, 162/598

1. What is the HCF of 973,162?

The HCF of 973,162 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 973/249, 162/598?

Answer: GCF of Numerators as per given numbers 973/249, 162/598 is

GCF of Numerators i.e. for 973,162 is 1

LCM of denominators i.e. for 249,598 is 148902.

Thus, GCF of Fractions is 1/148902.Finally, GCF of Fractions for 973/249, 162/598 is 1/148902.