Greatest Common Factor of 6703/38, 7030/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6703/38, 7030/465

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 6703/38,7030/465

Given fractions are 6703/38,7030/465

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 6703,7030

Greatest Common Factor of Numerators i.e. GCF of 6703,7030 is 1 .

LCM of Denominators means LCM of 38,465 as per the given fractions.

LCM of 38,465 is 17670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6703,7030

GCF of Fractions 6703/38,7030/465 is 1/17670

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

Greatest Common Factor of 6703,7030 By Matching Biggest Common Factor Method

Greatest Common Factor of 6703,7030 By Matching Biggest Common Factor Method

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1,6703

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 6703,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 6703,7030 is 1.

Lets's calculate LCM of 38,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 17670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17670

Therefore, the GCF of Fractions 6703/38,7030/465 is 1/17670

Least Common Multiple of 38,465 with GCF Formula

Least Common Multiple of 38,465 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 38,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,465) = 1

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

GCF(38,465) x common factors =1 x 1 = 1

LCM(38,465) = ( 38 × 465 ) / 1

LCM(38,465) = 17670 / 1

LCM(38,465) = 17670


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 6703/38, 7030/465

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 6703/38, 7030/465?

Answer: GCF of Numerators as per given numbers 6703/38, 7030/465 is

GCF of Numerators i.e. for 6703,7030 is 1

LCM of denominators i.e. for 38,465 is 17670.

Thus, GCF of Fractions is 1/17670.Finally, GCF of Fractions for 6703/38, 7030/465 is 1/17670.