Greatest Common Factor of 888/509, 1274/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 888/509, 1274/648

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 888/509,1274/648

Given fractions are 888/509,1274/648

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 888,1274

Greatest Common Factor of Numerators i.e. GCF of 888,1274 is 2 .

LCM of Denominators means LCM of 509,648 as per the given fractions.

LCM of 509,648 is 329832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 888,1274

GCF of Fractions 888/509,1274/648 is 2/329832

2 888, 1274
444, 637

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

Greatest Common Factor of 888,1274 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,1274 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1,2,7,13,14,26,49,91,98,182,637,1274

Greatest Common Factor

We found the factors 888,1274 . The biggest common factor number is the GCF number.
So the greatest common factor 888,1274 is 2.

Lets's calculate LCM of 509,648

Given numbers has no common factors except 1. So, there LCM is their product i.e 329832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/329832

Therefore, the GCF of Fractions 888/509,1274/648 is 2/329832

Least Common Multiple of 509,648 with GCF Formula

Least Common Multiple of 509,648 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 509,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,648) = 1

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

GCF(509,648) x common factors =1 x 1 = 1

LCM(509,648) = ( 509 × 648 ) / 1

LCM(509,648) = 329832 / 1

LCM(509,648) = 329832


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 888/509, 1274/648

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 888/509, 1274/648?

Answer: GCF of Numerators as per given numbers 888/509, 1274/648 is

GCF of Numerators i.e. for 888,1274 is 2

LCM of denominators i.e. for 509,648 is 329832.

Thus, GCF of Fractions is 2/329832.Finally, GCF of Fractions for 888/509, 1274/648 is 2/329832.