Greatest Common Factor of 828/216, 6175/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/216, 6175/402

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 828/216,6175/402

Given fractions are 828/216,6175/402

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 828,6175

Greatest Common Factor of Numerators i.e. GCF of 828,6175 is 1 .

LCM of Denominators means LCM of 216,402 as per the given fractions.

LCM of 216,402 is 14472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,6175

GCF of Fractions 828/216,6175/402 is 1/14472

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

Greatest Common Factor of 828,6175 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,6175 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 6175

List of positive integer factors of 6175 that divides 6175 without a remainder.

1,5,13,19,25,65,95,247,325,475,1235,6175

Greatest Common Factor

We found the factors 828,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 828,6175 is 1.

Lets's calculate LCM of 216,402

2 216, 402
3 108, 201
36, 67

∴ So the LCM of the given numbers is 2 x 3 x 36 x 67 = 14472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14472

Therefore, the GCF of Fractions 828/216,6175/402 is 1/14472

Least Common Multiple of 216,402 with GCF Formula

Least Common Multiple of 216,402 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 216,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,402) = 6

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

GCF(216,402) x common factors =6 x 1 = 6

LCM(216,402) = ( 216 × 402 ) / 6

LCM(216,402) = 86832 / 6

LCM(216,402) = 14472


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 828/216, 6175/402

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 828/216, 6175/402?

Answer: GCF of Numerators as per given numbers 828/216, 6175/402 is

GCF of Numerators i.e. for 828,6175 is 1

LCM of denominators i.e. for 216,402 is 14472.

Thus, GCF of Fractions is 1/14472.Finally, GCF of Fractions for 828/216, 6175/402 is 1/14472.