Greatest Common Factor of 92/850, 240/451, 698/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/850, 240/451, 698/187

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 92/850,240/451,698/187

Given fractions are 92/850,240/451,698/187

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 92,240,698

Greatest Common Factor of Numerators i.e. GCF of 92,240,698 is 2 .

LCM of Denominators means LCM of 850,451,187 as per the given fractions.

LCM of 850,451,187 is 383350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,240,698

GCF of Fractions 92/850,240/451,698/187 is 2/383350

2 92, 240, 698
46, 120, 349

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

Greatest Common Factor of 92,240,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,240,698 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 92,240,698 . The biggest common factor number is the GCF number.
So the greatest common factor 92,240,698 is 2.

Lets's calculate LCM of 850,451,187

11 850, 451, 187
17 850, 41, 17
50, 41, 1

∴ So the LCM of the given numbers is 11 x 17 x 50 x 41 x 1 = 383350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/383350

Therefore, the GCF of Fractions 92/850,240/451,698/187 is 2/383350

Least Common Multiple of 850,451,187 with GCF Formula

Least Common Multiple of 850,451,187 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 850,451,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,451,187) = 1

common factors(in case of two or more numbers have common factors) = 187

GCF(850,451,187) x common factors =1 x 187 = 187

LCM(850,451,187) = ( 850 × 451 × 187 ) / 187

LCM(850,451,187) = 71686450 / 187

LCM(850,451,187) = 383350


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 92/850, 240/451, 698/187

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 92/850, 240/451, 698/187?

Answer: GCF of Numerators as per given numbers 92/850, 240/451, 698/187 is

GCF of Numerators i.e. for 92,240,698 is 2

LCM of denominators i.e. for 850,451,187 is 383350.

Thus, GCF of Fractions is 2/383350.Finally, GCF of Fractions for 92/850, 240/451, 698/187 is 2/383350.