Greatest Common Factor of 749/30, 103/92, 392/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 749/30, 103/92, 392/305

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 749/30,103/92,392/305

Given fractions are 749/30,103/92,392/305

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 749,103,392

Greatest Common Factor of Numerators i.e. GCF of 749,103,392 is 1 .

LCM of Denominators means LCM of 30,92,305 as per the given fractions.

LCM of 30,92,305 is 84180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 749,103,392

GCF of Fractions 749/30,103/92,392/305 is 1/84180

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

Greatest Common Factor of 749,103,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,103,392 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 749,103,392 . The biggest common factor number is the GCF number.
So the greatest common factor 749,103,392 is 1.

Lets's calculate LCM of 30,92,305

2 30, 92, 305
5 15, 46, 305
3, 46, 61

∴ So the LCM of the given numbers is 2 x 5 x 3 x 46 x 61 = 84180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84180

Therefore, the GCF of Fractions 749/30,103/92,392/305 is 1/84180

Least Common Multiple of 30,92,305 with GCF Formula

Least Common Multiple of 30,92,305 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 30,92,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,92,305) = 1

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

GCF(30,92,305) x common factors =1 x 10 = 10

LCM(30,92,305) = ( 30 × 92 × 305 ) / 10

LCM(30,92,305) = 841800 / 10

LCM(30,92,305) = 84180


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 749/30, 103/92, 392/305

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 749/30, 103/92, 392/305?

Answer: GCF of Numerators as per given numbers 749/30, 103/92, 392/305 is

GCF of Numerators i.e. for 749,103,392 is 1

LCM of denominators i.e. for 30,92,305 is 84180.

Thus, GCF of Fractions is 1/84180.Finally, GCF of Fractions for 749/30, 103/92, 392/305 is 1/84180.