Greatest Common Factor of 30/727, 683/100, 792/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/727, 683/100, 792/837

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 30/727,683/100,792/837

Given fractions are 30/727,683/100,792/837

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 30,683,792

Greatest Common Factor of Numerators i.e. GCF of 30,683,792 is 1 .

LCM of Denominators means LCM of 727,100,837 as per the given fractions.

LCM of 727,100,837 is 60849900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,683,792

GCF of Fractions 30/727,683/100,792/837 is 1/60849900

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

Greatest Common Factor of 30,683,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,683,792 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

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 30,683,792 . The biggest common factor number is the GCF number.
So the greatest common factor 30,683,792 is 1.

Lets's calculate LCM of 727,100,837

Given numbers has no common factors except 1. So, there LCM is their product i.e 60849900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60849900

Therefore, the GCF of Fractions 30/727,683/100,792/837 is 1/60849900

Least Common Multiple of 727,100,837 with GCF Formula

Least Common Multiple of 727,100,837 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 727,100,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,100,837) = 1

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

GCF(727,100,837) x common factors =1 x 1 = 1

LCM(727,100,837) = ( 727 × 100 × 837 ) / 1

LCM(727,100,837) = 60849900 / 1

LCM(727,100,837) = 60849900


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 30/727, 683/100, 792/837

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 30/727, 683/100, 792/837?

Answer: GCF of Numerators as per given numbers 30/727, 683/100, 792/837 is

GCF of Numerators i.e. for 30,683,792 is 1

LCM of denominators i.e. for 727,100,837 is 60849900.

Thus, GCF of Fractions is 1/60849900.Finally, GCF of Fractions for 30/727, 683/100, 792/837 is 1/60849900.