Greatest Common Factor of 14/632, 431/701, 460/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/632, 431/701, 460/735

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 14/632,431/701,460/735

Given fractions are 14/632,431/701,460/735

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 14,431,460

Greatest Common Factor of Numerators i.e. GCF of 14,431,460 is 1 .

LCM of Denominators means LCM of 632,701,735 as per the given fractions.

LCM of 632,701,735 is 325628520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,431,460

GCF of Fractions 14/632,431/701,460/735 is 1/325628520

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

Greatest Common Factor of 14,431,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,431,460 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 14,431,460 . The biggest common factor number is the GCF number.
So the greatest common factor 14,431,460 is 1.

Lets's calculate LCM of 632,701,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 325628520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325628520

Therefore, the GCF of Fractions 14/632,431/701,460/735 is 1/325628520

Least Common Multiple of 632,701,735 with GCF Formula

Least Common Multiple of 632,701,735 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 632,701,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,701,735) = 1

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

GCF(632,701,735) x common factors =1 x 1 = 1

LCM(632,701,735) = ( 632 × 701 × 735 ) / 1

LCM(632,701,735) = 325628520 / 1

LCM(632,701,735) = 325628520


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 14/632, 431/701, 460/735

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 14/632, 431/701, 460/735?

Answer: GCF of Numerators as per given numbers 14/632, 431/701, 460/735 is

GCF of Numerators i.e. for 14,431,460 is 1

LCM of denominators i.e. for 632,701,735 is 325628520.

Thus, GCF of Fractions is 1/325628520.Finally, GCF of Fractions for 14/632, 431/701, 460/735 is 1/325628520.