Greatest Common Factor of 469/31, 3141/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/31, 3141/985

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 469/31,3141/985

Given fractions are 469/31,3141/985

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 469,3141

Greatest Common Factor of Numerators i.e. GCF of 469,3141 is 1 .

LCM of Denominators means LCM of 31,985 as per the given fractions.

LCM of 31,985 is 30535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,3141

GCF of Fractions 469/31,3141/985 is 1/30535

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

Greatest Common Factor of 469,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,3141 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 469,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 469,3141 is 1.

Lets's calculate LCM of 31,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 30535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30535

Therefore, the GCF of Fractions 469/31,3141/985 is 1/30535

Least Common Multiple of 31,985 with GCF Formula

Least Common Multiple of 31,985 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 31,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,985) = 1

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

GCF(31,985) x common factors =1 x 1 = 1

LCM(31,985) = ( 31 × 985 ) / 1

LCM(31,985) = 30535 / 1

LCM(31,985) = 30535


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 469/31, 3141/985

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 469/31, 3141/985?

Answer: GCF of Numerators as per given numbers 469/31, 3141/985 is

GCF of Numerators i.e. for 469,3141 is 1

LCM of denominators i.e. for 31,985 is 30535.

Thus, GCF of Fractions is 1/30535.Finally, GCF of Fractions for 469/31, 3141/985 is 1/30535.