Greatest Common Factor of 1709/610, 7370/7338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1709/610, 7370/7338

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 1709/610,7370/7338

Given fractions are 1709/610,7370/7338

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 1709,7370

Greatest Common Factor of Numerators i.e. GCF of 1709,7370 is 1 .

LCM of Denominators means LCM of 610,7338 as per the given fractions.

LCM of 610,7338 is 2238090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1709,7370

GCF of Fractions 1709/610,7370/7338 is 1/2238090

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

Greatest Common Factor of 1709,7370 By Matching Biggest Common Factor Method

Greatest Common Factor of 1709,7370 By Matching Biggest Common Factor Method

Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

1,1709

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors 1709,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 1709,7370 is 1.

Lets's calculate LCM of 610,7338

2 610, 7338
305, 3669

∴ So the LCM of the given numbers is 2 x 305 x 3669 = 2238090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2238090

Therefore, the GCF of Fractions 1709/610,7370/7338 is 1/2238090

Least Common Multiple of 610,7338 with GCF Formula

Least Common Multiple of 610,7338 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 610,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,7338) = 2

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

GCF(610,7338) x common factors =2 x 1 = 2

LCM(610,7338) = ( 610 × 7338 ) / 2

LCM(610,7338) = 4476180 / 2

LCM(610,7338) = 2238090


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 1709/610, 7370/7338

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 1709/610, 7370/7338?

Answer: GCF of Numerators as per given numbers 1709/610, 7370/7338 is

GCF of Numerators i.e. for 1709,7370 is 1

LCM of denominators i.e. for 610,7338 is 2238090.

Thus, GCF of Fractions is 1/2238090.Finally, GCF of Fractions for 1709/610, 7370/7338 is 1/2238090.