Greatest Common Factor of 6850/31, 5226/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6850/31, 5226/385

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 6850/31,5226/385

Given fractions are 6850/31,5226/385

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 6850,5226

Greatest Common Factor of Numerators i.e. GCF of 6850,5226 is 2 .

LCM of Denominators means LCM of 31,385 as per the given fractions.

LCM of 31,385 is 11935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6850,5226

GCF of Fractions 6850/31,5226/385 is 2/11935

2 6850, 5226
3425, 2613

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

Greatest Common Factor of 6850,5226 By Matching Biggest Common Factor Method

Greatest Common Factor of 6850,5226 By Matching Biggest Common Factor Method

Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1,2,5,10,25,50,137,274,685,1370,3425,6850

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226

Greatest Common Factor

We found the factors 6850,5226 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,5226 is 2.

Lets's calculate LCM of 31,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 11935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11935

Therefore, the GCF of Fractions 6850/31,5226/385 is 2/11935

Least Common Multiple of 31,385 with GCF Formula

Least Common Multiple of 31,385 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 31,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,385) = 1

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

GCF(31,385) x common factors =1 x 1 = 1

LCM(31,385) = ( 31 × 385 ) / 1

LCM(31,385) = 11935 / 1

LCM(31,385) = 11935


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 6850/31, 5226/385

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 6850/31, 5226/385?

Answer: GCF of Numerators as per given numbers 6850/31, 5226/385 is

GCF of Numerators i.e. for 6850,5226 is 2

LCM of denominators i.e. for 31,385 is 11935.

Thus, GCF of Fractions is 2/11935.Finally, GCF of Fractions for 6850/31, 5226/385 is 2/11935.