Greatest Common Factor of 4/29, 33/25, 49/381, 874/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/29, 33/25, 49/381, 874/664

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 4/29,33/25,49/381,874/664

Given fractions are 4/29,33/25,49/381,874/664

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 4,33,49,874

Greatest Common Factor of Numerators i.e. GCF of 4,33,49,874 is 1 .

LCM of Denominators means LCM of 29,25,381,664 as per the given fractions.

LCM of 29,25,381,664 is 183413400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,33,49,874

GCF of Fractions 4/29,33/25,49/381,874/664 is 1/183413400

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

Greatest Common Factor of 4,33,49,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,33,49,874 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 4,33,49,874 . The biggest common factor number is the GCF number.
So the greatest common factor 4,33,49,874 is 1.

Lets's calculate LCM of 29,25,381,664

Given numbers has no common factors except 1. So, there LCM is their product i.e 183413400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183413400

Therefore, the GCF of Fractions 4/29,33/25,49/381,874/664 is 1/183413400

Least Common Multiple of 29,25,381,664 with GCF Formula

Least Common Multiple of 29,25,381,664 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 29,25,381,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,25,381,664) = 1

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

GCF(29,25,381,664) x common factors =1 x 1 = 1

LCM(29,25,381,664) = ( 29 × 25 × 381 × 664 ) / 1

LCM(29,25,381,664) = 183413400 / 1

LCM(29,25,381,664) = 183413400


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 4/29, 33/25, 49/381, 874/664

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 4/29, 33/25, 49/381, 874/664?

Answer: GCF of Numerators as per given numbers 4/29, 33/25, 49/381, 874/664 is

GCF of Numerators i.e. for 4,33,49,874 is 1

LCM of denominators i.e. for 29,25,381,664 is 183413400.

Thus, GCF of Fractions is 1/183413400.Finally, GCF of Fractions for 4/29, 33/25, 49/381, 874/664 is 1/183413400.