Greatest Common Factor of 869/71, 632/38, 838/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/71, 632/38, 838/830

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 869/71,632/38,838/830

Given fractions are 869/71,632/38,838/830

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 869,632,838

Greatest Common Factor of Numerators i.e. GCF of 869,632,838 is 1 .

LCM of Denominators means LCM of 71,38,830 as per the given fractions.

LCM of 71,38,830 is 1119670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,632,838

GCF of Fractions 869/71,632/38,838/830 is 1/1119670

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

Greatest Common Factor of 869,632,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,632,838 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 869,632,838 . The biggest common factor number is the GCF number.
So the greatest common factor 869,632,838 is 1.

Lets's calculate LCM of 71,38,830

2 71, 38, 830
71, 19, 415

∴ So the LCM of the given numbers is 2 x 71 x 19 x 415 = 1119670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1119670

Therefore, the GCF of Fractions 869/71,632/38,838/830 is 1/1119670

Least Common Multiple of 71,38,830 with GCF Formula

Least Common Multiple of 71,38,830 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 71,38,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,38,830) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,38,830) x common factors =1 x 2 = 2

LCM(71,38,830) = ( 71 × 38 × 830 ) / 2

LCM(71,38,830) = 2239340 / 2

LCM(71,38,830) = 1119670


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 869/71, 632/38, 838/830

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 869/71, 632/38, 838/830?

Answer: GCF of Numerators as per given numbers 869/71, 632/38, 838/830 is

GCF of Numerators i.e. for 869,632,838 is 1

LCM of denominators i.e. for 71,38,830 is 1119670.

Thus, GCF of Fractions is 1/1119670.Finally, GCF of Fractions for 869/71, 632/38, 838/830 is 1/1119670.