Greatest Common Factor of 4709/600, 6170/3914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4709/600, 6170/3914

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 4709/600,6170/3914

Given fractions are 4709/600,6170/3914

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 4709,6170

Greatest Common Factor of Numerators i.e. GCF of 4709,6170 is 1 .

LCM of Denominators means LCM of 600,3914 as per the given fractions.

LCM of 600,3914 is 1174200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4709,6170

GCF of Fractions 4709/600,6170/3914 is 1/1174200

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

Greatest Common Factor of 4709,6170 By Matching Biggest Common Factor Method

Greatest Common Factor of 4709,6170 By Matching Biggest Common Factor Method

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1,17,277,4709

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1,2,5,10,617,1234,3085,6170

Greatest Common Factor

We found the factors 4709,6170 . The biggest common factor number is the GCF number.
So the greatest common factor 4709,6170 is 1.

Lets's calculate LCM of 600,3914

2 600, 3914
300, 1957

∴ So the LCM of the given numbers is 2 x 300 x 1957 = 1174200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174200

Therefore, the GCF of Fractions 4709/600,6170/3914 is 1/1174200

Least Common Multiple of 600,3914 with GCF Formula

Least Common Multiple of 600,3914 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 600,3914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,3914) = 2

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

GCF(600,3914) x common factors =2 x 1 = 2

LCM(600,3914) = ( 600 × 3914 ) / 2

LCM(600,3914) = 2348400 / 2

LCM(600,3914) = 1174200


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 4709/600, 6170/3914

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 4709/600, 6170/3914?

Answer: GCF of Numerators as per given numbers 4709/600, 6170/3914 is

GCF of Numerators i.e. for 4709,6170 is 1

LCM of denominators i.e. for 600,3914 is 1174200.

Thus, GCF of Fractions is 1/1174200.Finally, GCF of Fractions for 4709/600, 6170/3914 is 1/1174200.