Greatest Common Factor of 830/55, 7162/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/55, 7162/335

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 830/55,7162/335

Given fractions are 830/55,7162/335

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 830,7162

Greatest Common Factor of Numerators i.e. GCF of 830,7162 is 2 .

LCM of Denominators means LCM of 55,335 as per the given fractions.

LCM of 55,335 is 3685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,7162

GCF of Fractions 830/55,7162/335 is 2/3685

2 830, 7162
415, 3581

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 830,7162 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,7162 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 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Greatest Common Factor

We found the factors 830,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 830,7162 is 2.

Lets's calculate LCM of 55,335

5 55, 335
11, 67

∴ So the LCM of the given numbers is 5 x 11 x 67 = 3685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3685

Therefore, the GCF of Fractions 830/55,7162/335 is 2/3685

Least Common Multiple of 55,335 with GCF Formula

Least Common Multiple of 55,335 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 55,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,335) = 5

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

GCF(55,335) x common factors =5 x 1 = 5

LCM(55,335) = ( 55 × 335 ) / 5

LCM(55,335) = 18425 / 5

LCM(55,335) = 3685


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 830/55, 7162/335

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 830/55, 7162/335?

Answer: GCF of Numerators as per given numbers 830/55, 7162/335 is

GCF of Numerators i.e. for 830,7162 is 2

LCM of denominators i.e. for 55,335 is 3685.

Thus, GCF of Fractions is 2/3685.Finally, GCF of Fractions for 830/55, 7162/335 is 2/3685.