Greatest Common Factor of 1946/896, 1967/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1946/896, 1967/742

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 1946/896,1967/742

Given fractions are 1946/896,1967/742

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 1946,1967

Greatest Common Factor of Numerators i.e. GCF of 1946,1967 is 7 .

LCM of Denominators means LCM of 896,742 as per the given fractions.

LCM of 896,742 is 47488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1946,1967

GCF of Fractions 1946/896,1967/742 is 7/47488

7 1946, 1967
278, 281

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1946,1967 By Matching Biggest Common Factor Method

Greatest Common Factor of 1946,1967 By Matching Biggest Common Factor Method

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1,2,7,14,139,278,973,1946

Factors of 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1,7,281,1967

Greatest Common Factor

We found the factors 1946,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 1946,1967 is 7.

Lets's calculate LCM of 896,742

2 896, 742
7 448, 371
64, 53

∴ So the LCM of the given numbers is 2 x 7 x 64 x 53 = 47488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/47488

Therefore, the GCF of Fractions 1946/896,1967/742 is 7/47488

Least Common Multiple of 896,742 with GCF Formula

Least Common Multiple of 896,742 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 896,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,742) = 14

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

GCF(896,742) x common factors =14 x 1 = 14

LCM(896,742) = ( 896 × 742 ) / 14

LCM(896,742) = 664832 / 14

LCM(896,742) = 47488


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 1946/896, 1967/742

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 1946/896, 1967/742?

Answer: GCF of Numerators as per given numbers 1946/896, 1967/742 is

GCF of Numerators i.e. for 1946,1967 is 7

LCM of denominators i.e. for 896,742 is 47488.

Thus, GCF of Fractions is 7/47488.Finally, GCF of Fractions for 1946/896, 1967/742 is 7/47488.