Greatest Common Factor of 1418/221, 7000/7433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1418/221, 7000/7433

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 1418/221,7000/7433

Given fractions are 1418/221,7000/7433

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 1418,7000

Greatest Common Factor of Numerators i.e. GCF of 1418,7000 is 2 .

LCM of Denominators means LCM of 221,7433 as per the given fractions.

LCM of 221,7433 is 1642693 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1418,7000

GCF of Fractions 1418/221,7000/7433 is 2/1642693

2 1418, 7000
709, 3500

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

Greatest Common Factor of 1418,7000 By Matching Biggest Common Factor Method

Greatest Common Factor of 1418,7000 By Matching Biggest Common Factor Method

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Greatest Common Factor

We found the factors 1418,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,7000 is 2.

Lets's calculate LCM of 221,7433

Given numbers has no common factors except 1. So, there LCM is their product i.e 1642693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1642693

Therefore, the GCF of Fractions 1418/221,7000/7433 is 2/1642693

Least Common Multiple of 221,7433 with GCF Formula

Least Common Multiple of 221,7433 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 221,7433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,7433) = 1

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

GCF(221,7433) x common factors =1 x 1 = 1

LCM(221,7433) = ( 221 × 7433 ) / 1

LCM(221,7433) = 1642693 / 1

LCM(221,7433) = 1642693


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 1418/221, 7000/7433

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 1418/221, 7000/7433?

Answer: GCF of Numerators as per given numbers 1418/221, 7000/7433 is

GCF of Numerators i.e. for 1418,7000 is 2

LCM of denominators i.e. for 221,7433 is 1642693.

Thus, GCF of Fractions is 2/1642693.Finally, GCF of Fractions for 1418/221, 7000/7433 is 2/1642693.