Greatest Common Factor of 16/475, 374/880, 874/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/475, 374/880, 874/342

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 16/475,374/880,874/342

Given fractions are 16/475,374/880,874/342

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 16,374,874

Greatest Common Factor of Numerators i.e. GCF of 16,374,874 is 2 .

LCM of Denominators means LCM of 475,880,342 as per the given fractions.

LCM of 475,880,342 is 752400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,374,874

GCF of Fractions 16/475,374/880,874/342 is 2/752400

2 16, 374, 874
8, 187, 437

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

Greatest Common Factor of 16,374,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,374,874 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

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 16,374,874 . The biggest common factor number is the GCF number.
So the greatest common factor 16,374,874 is 2.

Lets's calculate LCM of 475,880,342

2 475, 880, 342
5 475, 440, 171
19 95, 88, 171
5, 88, 9

∴ So the LCM of the given numbers is 2 x 5 x 19 x 5 x 88 x 9 = 752400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/752400

Therefore, the GCF of Fractions 16/475,374/880,874/342 is 2/752400

Least Common Multiple of 475,880,342 with GCF Formula

Least Common Multiple of 475,880,342 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 475,880,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,880,342) = 1

common factors(in case of two or more numbers have common factors) = 190

GCF(475,880,342) x common factors =1 x 190 = 190

LCM(475,880,342) = ( 475 × 880 × 342 ) / 190

LCM(475,880,342) = 142956000 / 190

LCM(475,880,342) = 752400


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 16/475, 374/880, 874/342

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 16/475, 374/880, 874/342?

Answer: GCF of Numerators as per given numbers 16/475, 374/880, 874/342 is

GCF of Numerators i.e. for 16,374,874 is 2

LCM of denominators i.e. for 475,880,342 is 752400.

Thus, GCF of Fractions is 2/752400.Finally, GCF of Fractions for 16/475, 374/880, 874/342 is 2/752400.