Greatest Common Factor of 974/705, 112/377, 986/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/705, 112/377, 986/133

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 974/705,112/377,986/133

Given fractions are 974/705,112/377,986/133

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 974,112,986

Greatest Common Factor of Numerators i.e. GCF of 974,112,986 is 2 .

LCM of Denominators means LCM of 705,377,133 as per the given fractions.

LCM of 705,377,133 is 35349405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,112,986

GCF of Fractions 974/705,112/377,986/133 is 2/35349405

2 974, 112, 986
487, 56, 493

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 974,112,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,112,986 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 974,112,986 . The biggest common factor number is the GCF number.
So the greatest common factor 974,112,986 is 2.

Lets's calculate LCM of 705,377,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 35349405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35349405

Therefore, the GCF of Fractions 974/705,112/377,986/133 is 2/35349405

Least Common Multiple of 705,377,133 with GCF Formula

Least Common Multiple of 705,377,133 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 705,377,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,377,133) = 1

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

GCF(705,377,133) x common factors =1 x 1 = 1

LCM(705,377,133) = ( 705 × 377 × 133 ) / 1

LCM(705,377,133) = 35349405 / 1

LCM(705,377,133) = 35349405


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 974/705, 112/377, 986/133

1. 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.

2. What is the GCF of Fractions for 974/705, 112/377, 986/133?

Answer: GCF of Numerators as per given numbers 974/705, 112/377, 986/133 is

GCF of Numerators i.e. for 974,112,986 is 2

LCM of denominators i.e. for 705,377,133 is 35349405.

Thus, GCF of Fractions is 2/35349405.Finally, GCF of Fractions for 974/705, 112/377, 986/133 is 2/35349405.