Greatest Common Factor of 1850/392, 9671/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1850/392, 9671/888

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 1850/392,9671/888

Given fractions are 1850/392,9671/888

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 1850,9671

Greatest Common Factor of Numerators i.e. GCF of 1850,9671 is 1 .

LCM of Denominators means LCM of 392,888 as per the given fractions.

LCM of 392,888 is 43512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1850,9671

GCF of Fractions 1850/392,9671/888 is 1/43512

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

Greatest Common Factor of 1850,9671 By Matching Biggest Common Factor Method

Greatest Common Factor of 1850,9671 By Matching Biggest Common Factor Method

Factors of 1850

List of positive integer factors of 1850 that divides 1850 without a remainder.

1,2,5,10,25,37,50,74,185,370,925,1850

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1,19,509,9671

Greatest Common Factor

We found the factors 1850,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,9671 is 1.

Lets's calculate LCM of 392,888

2 392, 888
2 196, 444
2 98, 222
49, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 111 = 43512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43512

Therefore, the GCF of Fractions 1850/392,9671/888 is 1/43512

Least Common Multiple of 392,888 with GCF Formula

Least Common Multiple of 392,888 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 392,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,888) = 8

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

GCF(392,888) x common factors =8 x 1 = 8

LCM(392,888) = ( 392 × 888 ) / 8

LCM(392,888) = 348096 / 8

LCM(392,888) = 43512


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 1850/392, 9671/888

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 1850/392, 9671/888?

Answer: GCF of Numerators as per given numbers 1850/392, 9671/888 is

GCF of Numerators i.e. for 1850,9671 is 1

LCM of denominators i.e. for 392,888 is 43512.

Thus, GCF of Fractions is 1/43512.Finally, GCF of Fractions for 1850/392, 9671/888 is 1/43512.