Greatest Common Factor of 207/760, 106/350, 992/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/760, 106/350, 992/717

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 207/760,106/350,992/717

Given fractions are 207/760,106/350,992/717

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 207,106,992

Greatest Common Factor of Numerators i.e. GCF of 207,106,992 is 1 .

LCM of Denominators means LCM of 760,350,717 as per the given fractions.

LCM of 760,350,717 is 19072200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,106,992

GCF of Fractions 207/760,106/350,992/717 is 1/19072200

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

Greatest Common Factor of 207,106,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,106,992 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 207,106,992 . The biggest common factor number is the GCF number.
So the greatest common factor 207,106,992 is 1.

Lets's calculate LCM of 760,350,717

2 760, 350, 717
5 380, 175, 717
76, 35, 717

∴ So the LCM of the given numbers is 2 x 5 x 76 x 35 x 717 = 19072200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19072200

Therefore, the GCF of Fractions 207/760,106/350,992/717 is 1/19072200

Least Common Multiple of 760,350,717 with GCF Formula

Least Common Multiple of 760,350,717 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 760,350,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,350,717) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(760,350,717) x common factors =1 x 10 = 10

LCM(760,350,717) = ( 760 × 350 × 717 ) / 10

LCM(760,350,717) = 190722000 / 10

LCM(760,350,717) = 19072200


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 207/760, 106/350, 992/717

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 207/760, 106/350, 992/717?

Answer: GCF of Numerators as per given numbers 207/760, 106/350, 992/717 is

GCF of Numerators i.e. for 207,106,992 is 1

LCM of denominators i.e. for 760,350,717 is 19072200.

Thus, GCF of Fractions is 1/19072200.Finally, GCF of Fractions for 207/760, 106/350, 992/717 is 1/19072200.