Greatest Common Factor of 9314/70, 6226/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9314/70, 6226/385

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 9314/70,6226/385

Given fractions are 9314/70,6226/385

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 9314,6226

Greatest Common Factor of Numerators i.e. GCF of 9314,6226 is 2 .

LCM of Denominators means LCM of 70,385 as per the given fractions.

LCM of 70,385 is 770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9314,6226

GCF of Fractions 9314/70,6226/385 is 2/770

2 9314, 6226
4657, 3113

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

Greatest Common Factor of 9314,6226 By Matching Biggest Common Factor Method

Greatest Common Factor of 9314,6226 By Matching Biggest Common Factor Method

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Factors of 6226

List of positive integer factors of 6226 that divides 6226 without a remainder.

1,2,11,22,283,566,3113,6226

Greatest Common Factor

We found the factors 9314,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 9314,6226 is 2.

Lets's calculate LCM of 70,385

5 70, 385
7 14, 77
2, 11

∴ So the LCM of the given numbers is 5 x 7 x 2 x 11 = 770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/770

Therefore, the GCF of Fractions 9314/70,6226/385 is 2/770

Least Common Multiple of 70,385 with GCF Formula

Least Common Multiple of 70,385 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 70,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,385) = 35

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

GCF(70,385) x common factors =35 x 1 = 35

LCM(70,385) = ( 70 × 385 ) / 35

LCM(70,385) = 26950 / 35

LCM(70,385) = 770


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 9314/70, 6226/385

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 9314/70, 6226/385?

Answer: GCF of Numerators as per given numbers 9314/70, 6226/385 is

GCF of Numerators i.e. for 9314,6226 is 2

LCM of denominators i.e. for 70,385 is 770.

Thus, GCF of Fractions is 2/770.Finally, GCF of Fractions for 9314/70, 6226/385 is 2/770.