How to Find GCF of 9281/60, 1974/570?

GCF of 9281/60, 1974/570

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 9281/60, 1974/570 i.e 1/1140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9281/60, 1974/570.

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 9281/60,1974/570?

Given fractions are 9281/60,1974/570

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 9281/60,1974/570, numerators are 9281,1974

Denominators are 60,570

The GCF of 9281,1974 is 1 .

LCM of 60,570 is 1140.

The greatest common factor of 9281/60,1974/570 = [GCF of 9281,1974]/[LCM of 60,570]= 1/1140

Therefore, the GCF of 9281/60,1974/570 is 1/1140.

Greatest Common Factor of 9281,1974

To find the highest common factor of 9281,1974, we have to find the factors of both numbers and list the highest common factor.

The factors of 9281 are 1, 9281

The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974

The HCF of 9281,1974 is 1.

Lets's calculate GCF of 9281,1974

Greatest Common Factor (GCF) of 9281,1974 By Common Division

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

Greatest Common Factor of 9281,1974 By Matching Biggest Common Factor Method

Now, list down the factors of 9281

1,9281

Now, list down the factors of 1974

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 9281,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 9281,1974 is 1.

Lets's calculate LCM of 60,570

Lowest Common Multiple of 60,570 using Common Division

2	60, 570
3	30, 285
5	10, 95
	2, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 19 = 1140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1140

Therefore, the GCF of Fractions 9281/60,1974/570 is 1/1140

Least Common Multiple of 60,570 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 60,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,570) = 30

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

GCF(60,570) x common factors =30 x 1 = 30

LCM(60,570) = ( 60 × 570 ) / 30

LCM(60,570) = 34200 / 30

LCM(60,570) = 1140

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9281/60, 1974/570

1. What is the HCF of 9281,1974?

The HCF of 9281,1974 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 9281/60, 1974/570?

Answer: GCF of Numerators as per given numbers 9281/60, 1974/570 is

GCF of Numerators i.e. for 9281,1974 is 1

LCM of denominators i.e. for 60,570 is 1140.

Thus, GCF of Fractions is 1/1140.Finally, GCF of Fractions for 9281/60, 1974/570 is 1/1140.