Greatest Common Factor of 1/41, 92/69, 65/140, 792/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/41, 92/69, 65/140, 792/587

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 1/41,92/69,65/140,792/587

Given fractions are 1/41,92/69,65/140,792/587

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 1,92,65,792

Greatest Common Factor of Numerators i.e. GCF of 1,92,65,792 is 1 .

LCM of Denominators means LCM of 41,69,140,587 as per the given fractions.

LCM of 41,69,140,587 is 232487220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,92,65,792

GCF of Fractions 1/41,92/69,65/140,792/587 is 1/232487220

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

Greatest Common Factor of 1,92,65,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,92,65,792 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 92

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

1,2,4,23,46,92

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 1,92,65,792 . The biggest common factor number is the GCF number.
So the greatest common factor 1,92,65,792 is 1.

Lets's calculate LCM of 41,69,140,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 232487220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232487220

Therefore, the GCF of Fractions 1/41,92/69,65/140,792/587 is 1/232487220

Least Common Multiple of 41,69,140,587 with GCF Formula

Least Common Multiple of 41,69,140,587 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 41,69,140,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,69,140,587) = 1

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

GCF(41,69,140,587) x common factors =1 x 1 = 1

LCM(41,69,140,587) = ( 41 × 69 × 140 × 587 ) / 1

LCM(41,69,140,587) = 232487220 / 1

LCM(41,69,140,587) = 232487220


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 1/41, 92/69, 65/140, 792/587

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 1/41, 92/69, 65/140, 792/587?

Answer: GCF of Numerators as per given numbers 1/41, 92/69, 65/140, 792/587 is

GCF of Numerators i.e. for 1,92,65,792 is 1

LCM of denominators i.e. for 41,69,140,587 is 232487220.

Thus, GCF of Fractions is 1/232487220.Finally, GCF of Fractions for 1/41, 92/69, 65/140, 792/587 is 1/232487220.