Greatest Common Factor of 14/630, 201/740, 912/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/630, 201/740, 912/448

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 14/630,201/740,912/448

Given fractions are 14/630,201/740,912/448

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 14,201,912

Greatest Common Factor of Numerators i.e. GCF of 14,201,912 is 1 .

LCM of Denominators means LCM of 630,740,448 as per the given fractions.

LCM of 630,740,448 is 745920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,201,912

GCF of Fractions 14/630,201/740,912/448 is 1/745920

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

Greatest Common Factor of 14,201,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,201,912 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 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 14,201,912 . The biggest common factor number is the GCF number.
So the greatest common factor 14,201,912 is 1.

Lets's calculate LCM of 630,740,448

2 630, 740, 448
2 315, 370, 224
5 315, 185, 112
7 63, 37, 112
9, 37, 16

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 9 x 37 x 16 = 745920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745920

Therefore, the GCF of Fractions 14/630,201/740,912/448 is 1/745920

Least Common Multiple of 630,740,448 with GCF Formula

Least Common Multiple of 630,740,448 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 630,740,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,740,448) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(630,740,448) x common factors =2 x 140 = 280

LCM(630,740,448) = ( 630 × 740 × 448 ) / 280

LCM(630,740,448) = 208857600 / 280

LCM(630,740,448) = 745920


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 14/630, 201/740, 912/448

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 14/630, 201/740, 912/448?

Answer: GCF of Numerators as per given numbers 14/630, 201/740, 912/448 is

GCF of Numerators i.e. for 14,201,912 is 1

LCM of denominators i.e. for 630,740,448 is 745920.

Thus, GCF of Fractions is 1/745920.Finally, GCF of Fractions for 14/630, 201/740, 912/448 is 1/745920.