Greatest Common Factor of 1834/883, 7004/4412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1834/883, 7004/4412

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 1834/883,7004/4412

Given fractions are 1834/883,7004/4412

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 1834,7004

Greatest Common Factor of Numerators i.e. GCF of 1834,7004 is 2 .

LCM of Denominators means LCM of 883,4412 as per the given fractions.

LCM of 883,4412 is 3895796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1834,7004

GCF of Fractions 1834/883,7004/4412 is 2/3895796

2 1834, 7004
917, 3502

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

Greatest Common Factor of 1834,7004 By Matching Biggest Common Factor Method

Greatest Common Factor of 1834,7004 By Matching Biggest Common Factor Method

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Greatest Common Factor

We found the factors 1834,7004 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,7004 is 2.

Lets's calculate LCM of 883,4412

Given numbers has no common factors except 1. So, there LCM is their product i.e 3895796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3895796

Therefore, the GCF of Fractions 1834/883,7004/4412 is 2/3895796

Least Common Multiple of 883,4412 with GCF Formula

Least Common Multiple of 883,4412 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 883,4412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,4412) = 1

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

GCF(883,4412) x common factors =1 x 1 = 1

LCM(883,4412) = ( 883 × 4412 ) / 1

LCM(883,4412) = 3895796 / 1

LCM(883,4412) = 3895796


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 1834/883, 7004/4412

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 1834/883, 7004/4412?

Answer: GCF of Numerators as per given numbers 1834/883, 7004/4412 is

GCF of Numerators i.e. for 1834,7004 is 2

LCM of denominators i.e. for 883,4412 is 3895796.

Thus, GCF of Fractions is 2/3895796.Finally, GCF of Fractions for 1834/883, 7004/4412 is 2/3895796.