Greatest Common Factor of 2908/935, 4284/1800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2908/935, 4284/1800

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 2908/935,4284/1800

Given fractions are 2908/935,4284/1800

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 2908,4284

Greatest Common Factor of Numerators i.e. GCF of 2908,4284 is 4 .

LCM of Denominators means LCM of 935,1800 as per the given fractions.

LCM of 935,1800 is 336600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2908,4284

GCF of Fractions 2908/935,4284/1800 is 4/336600

2 2908, 4284
2 1454, 2142
727, 1071

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2908,4284 By Matching Biggest Common Factor Method

Greatest Common Factor of 2908,4284 By Matching Biggest Common Factor Method

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1,2,4,727,1454,2908

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors 2908,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,4284 is 4.

Lets's calculate LCM of 935,1800

5 935, 1800
187, 360

∴ So the LCM of the given numbers is 5 x 187 x 360 = 336600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/336600

Therefore, the GCF of Fractions 2908/935,4284/1800 is 4/336600

Least Common Multiple of 935,1800 with GCF Formula

Least Common Multiple of 935,1800 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 935,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,1800) = 5

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

GCF(935,1800) x common factors =5 x 1 = 5

LCM(935,1800) = ( 935 × 1800 ) / 5

LCM(935,1800) = 1683000 / 5

LCM(935,1800) = 336600


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 2908/935, 4284/1800

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 2908/935, 4284/1800?

Answer: GCF of Numerators as per given numbers 2908/935, 4284/1800 is

GCF of Numerators i.e. for 2908,4284 is 4

LCM of denominators i.e. for 935,1800 is 336600.

Thus, GCF of Fractions is 4/336600.Finally, GCF of Fractions for 2908/935, 4284/1800 is 4/336600.