Greatest Common Factor of 830/306, 787/765, 277/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/306, 787/765, 277/137

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 830/306,787/765,277/137

Given fractions are 830/306,787/765,277/137

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 830,787,277

Greatest Common Factor of Numerators i.e. GCF of 830,787,277 is 1 .

LCM of Denominators means LCM of 306,765,137 as per the given fractions.

LCM of 306,765,137 is 209610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,787,277

GCF of Fractions 830/306,787/765,277/137 is 1/209610

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

Greatest Common Factor of 830,787,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,787,277 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 830,787,277 . The biggest common factor number is the GCF number.
So the greatest common factor 830,787,277 is 1.

Lets's calculate LCM of 306,765,137

3 306, 765, 137
3 102, 255, 137
17 34, 85, 137
2, 5, 137

∴ So the LCM of the given numbers is 3 x 3 x 17 x 2 x 5 x 137 = 209610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209610

Therefore, the GCF of Fractions 830/306,787/765,277/137 is 1/209610

Least Common Multiple of 306,765,137 with GCF Formula

Least Common Multiple of 306,765,137 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 306,765,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,765,137) = 1

common factors(in case of two or more numbers have common factors) = 153

GCF(306,765,137) x common factors =1 x 153 = 153

LCM(306,765,137) = ( 306 × 765 × 137 ) / 153

LCM(306,765,137) = 32070330 / 153

LCM(306,765,137) = 209610


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 830/306, 787/765, 277/137

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 830/306, 787/765, 277/137?

Answer: GCF of Numerators as per given numbers 830/306, 787/765, 277/137 is

GCF of Numerators i.e. for 830,787,277 is 1

LCM of denominators i.e. for 306,765,137 is 209610.

Thus, GCF of Fractions is 1/209610.Finally, GCF of Fractions for 830/306, 787/765, 277/137 is 1/209610.