Greatest Common Factor of 611/1776, 830/7738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/1776, 830/7738

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 611/1776,830/7738

Given fractions are 611/1776,830/7738

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 611,830

Greatest Common Factor of Numerators i.e. GCF of 611,830 is 1 .

LCM of Denominators means LCM of 1776,7738 as per the given fractions.

LCM of 1776,7738 is 6871344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,830

GCF of Fractions 611/1776,830/7738 is 1/6871344

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

Greatest Common Factor of 611,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,830 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 830

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

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

Greatest Common Factor

We found the factors 611,830 . The biggest common factor number is the GCF number.
So the greatest common factor 611,830 is 1.

Lets's calculate LCM of 1776,7738

2 1776, 7738
888, 3869

∴ So the LCM of the given numbers is 2 x 888 x 3869 = 6871344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6871344

Therefore, the GCF of Fractions 611/1776,830/7738 is 1/6871344

Least Common Multiple of 1776,7738 with GCF Formula

Least Common Multiple of 1776,7738 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 1776,7738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1776,7738) = 2

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

GCF(1776,7738) x common factors =2 x 1 = 2

LCM(1776,7738) = ( 1776 × 7738 ) / 2

LCM(1776,7738) = 13742688 / 2

LCM(1776,7738) = 6871344


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 611/1776, 830/7738

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 611/1776, 830/7738?

Answer: GCF of Numerators as per given numbers 611/1776, 830/7738 is

GCF of Numerators i.e. for 611,830 is 1

LCM of denominators i.e. for 1776,7738 is 6871344.

Thus, GCF of Fractions is 1/6871344.Finally, GCF of Fractions for 611/1776, 830/7738 is 1/6871344.