Greatest Common Factor of 1762/427, 4142/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1762/427, 4142/508

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 1762/427,4142/508

Given fractions are 1762/427,4142/508

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 1762,4142

Greatest Common Factor of Numerators i.e. GCF of 1762,4142 is 2 .

LCM of Denominators means LCM of 427,508 as per the given fractions.

LCM of 427,508 is 216916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1762,4142

GCF of Fractions 1762/427,4142/508 is 2/216916

2 1762, 4142
881, 2071

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

Greatest Common Factor of 1762,4142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1762,4142 By Matching Biggest Common Factor Method

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Greatest Common Factor

We found the factors 1762,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 1762,4142 is 2.

Lets's calculate LCM of 427,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 216916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216916

Therefore, the GCF of Fractions 1762/427,4142/508 is 2/216916

Least Common Multiple of 427,508 with GCF Formula

Least Common Multiple of 427,508 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 427,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,508) = 1

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

GCF(427,508) x common factors =1 x 1 = 1

LCM(427,508) = ( 427 × 508 ) / 1

LCM(427,508) = 216916 / 1

LCM(427,508) = 216916


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 1762/427, 4142/508

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 1762/427, 4142/508?

Answer: GCF of Numerators as per given numbers 1762/427, 4142/508 is

GCF of Numerators i.e. for 1762,4142 is 2

LCM of denominators i.e. for 427,508 is 216916.

Thus, GCF of Fractions is 2/216916.Finally, GCF of Fractions for 1762/427, 4142/508 is 2/216916.