Greatest Common Factor of 348/734, 1888/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/734, 1888/492

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 348/734,1888/492

Given fractions are 348/734,1888/492

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 348,1888

Greatest Common Factor of Numerators i.e. GCF of 348,1888 is 4 .

LCM of Denominators means LCM of 734,492 as per the given fractions.

LCM of 734,492 is 180564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,1888

GCF of Fractions 348/734,1888/492 is 4/180564

2 348, 1888
2 174, 944
87, 472

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

Greatest Common Factor of 348,1888 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,1888 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1,2,4,8,16,32,59,118,236,472,944,1888

Greatest Common Factor

We found the factors 348,1888 . The biggest common factor number is the GCF number.
So the greatest common factor 348,1888 is 4.

Lets's calculate LCM of 734,492

2 734, 492
367, 246

∴ So the LCM of the given numbers is 2 x 367 x 246 = 180564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/180564

Therefore, the GCF of Fractions 348/734,1888/492 is 4/180564

Least Common Multiple of 734,492 with GCF Formula

Least Common Multiple of 734,492 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 734,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,492) = 2

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

GCF(734,492) x common factors =2 x 1 = 2

LCM(734,492) = ( 734 × 492 ) / 2

LCM(734,492) = 361128 / 2

LCM(734,492) = 180564


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 348/734, 1888/492

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 348/734, 1888/492?

Answer: GCF of Numerators as per given numbers 348/734, 1888/492 is

GCF of Numerators i.e. for 348,1888 is 4

LCM of denominators i.e. for 734,492 is 180564.

Thus, GCF of Fractions is 4/180564.Finally, GCF of Fractions for 348/734, 1888/492 is 4/180564.