Greatest Common Factor of 4295/83, 9130/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4295/83, 9130/614

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 4295/83,9130/614

Given fractions are 4295/83,9130/614

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 4295,9130

Greatest Common Factor of Numerators i.e. GCF of 4295,9130 is 5 .

LCM of Denominators means LCM of 83,614 as per the given fractions.

LCM of 83,614 is 50962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4295,9130

GCF of Fractions 4295/83,9130/614 is 5/50962

5 4295, 9130
859, 1826

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4295,9130 By Matching Biggest Common Factor Method

Greatest Common Factor of 4295,9130 By Matching Biggest Common Factor Method

Factors of 4295

List of positive integer factors of 4295 that divides 4295 without a remainder.

1,5,859,4295

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Greatest Common Factor

We found the factors 4295,9130 . The biggest common factor number is the GCF number.
So the greatest common factor 4295,9130 is 5.

Lets's calculate LCM of 83,614

Given numbers has no common factors except 1. So, there LCM is their product i.e 50962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/50962

Therefore, the GCF of Fractions 4295/83,9130/614 is 5/50962

Least Common Multiple of 83,614 with GCF Formula

Least Common Multiple of 83,614 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 83,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,614) = 1

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

GCF(83,614) x common factors =1 x 1 = 1

LCM(83,614) = ( 83 × 614 ) / 1

LCM(83,614) = 50962 / 1

LCM(83,614) = 50962


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 4295/83, 9130/614

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 4295/83, 9130/614?

Answer: GCF of Numerators as per given numbers 4295/83, 9130/614 is

GCF of Numerators i.e. for 4295,9130 is 5

LCM of denominators i.e. for 83,614 is 50962.

Thus, GCF of Fractions is 5/50962.Finally, GCF of Fractions for 4295/83, 9130/614 is 5/50962.