Greatest Common Factor of 836/414, 292/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/414, 292/174

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 836/414,292/174

Given fractions are 836/414,292/174

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 836,292

Greatest Common Factor of Numerators i.e. GCF of 836,292 is 4 .

LCM of Denominators means LCM of 414,174 as per the given fractions.

LCM of 414,174 is 12006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,292

GCF of Fractions 836/414,292/174 is 4/12006

2 836, 292
2 418, 146
209, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 836,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,292 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 836,292 . The biggest common factor number is the GCF number.
So the greatest common factor 836,292 is 4.

Lets's calculate LCM of 414,174

2 414, 174
3 207, 87
69, 29

∴ So the LCM of the given numbers is 2 x 3 x 69 x 29 = 12006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12006

Therefore, the GCF of Fractions 836/414,292/174 is 4/12006

Least Common Multiple of 414,174 with GCF Formula

Least Common Multiple of 414,174 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 414,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,174) = 6

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

GCF(414,174) x common factors =6 x 1 = 6

LCM(414,174) = ( 414 × 174 ) / 6

LCM(414,174) = 72036 / 6

LCM(414,174) = 12006


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 836/414, 292/174

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 836/414, 292/174?

Answer: GCF of Numerators as per given numbers 836/414, 292/174 is

GCF of Numerators i.e. for 836,292 is 4

LCM of denominators i.e. for 414,174 is 12006.

Thus, GCF of Fractions is 4/12006.Finally, GCF of Fractions for 836/414, 292/174 is 4/12006.