LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 6407/206, 9793/7938

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6407/206, 9793/7938 i.e 1/817614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6407/206, 9793/7938.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6407/206,9793/7938?

Given fractions are 6407/206,9793/7938

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6407/206,9793/7938, numerators are 6407,9793

Denominators are 206,7938

The GCF of 6407,9793 is 1 .

LCM of 206,7938 is 817614.

The greatest common factor of 6407/206,9793/7938 = [GCF of 6407,9793]/[LCM of 206,7938]= 1/817614

Therefore, the GCF of 6407/206,9793/7938 is 1/817614.

Greatest Common Factor of 6407,9793

To find the highest common factor of 6407,9793, we have to find the factors of both numbers and list the highest common factor.

The factors of 6407 are 1, 43, 149, 6407

The factors of 9793 are 1, 7, 1399, 9793

The HCF of 6407,9793 is 1.

Lets's calculate GCF of 6407,9793

Greatest Common Factor (GCF) of 6407,9793 By Common Division

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

Greatest Common Factor of 6407,9793 By Matching Biggest Common Factor Method

Greatest Common Factor of 6407,9793 By Matching Biggest Common Factor Method

Now, list down the factors of 6407

:

1,43,149,6407

Now, list down the factors of 9793

:

1,7,1399,9793

Greatest Common Factor

We found the factors 6407,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 6407,9793 is 1.

Lets's calculate LCM of 206,7938

Lowest Common Multiple of 206,7938 using Common Division

2 206, 7938
103, 3969

∴ So the LCM of the given numbers is 2 x 103 x 3969 = 817614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817614

Therefore, the GCF of Fractions 6407/206,9793/7938 is 1/817614

Least Common Multiple of 206,7938 with GCF Formula

Least Common Multiple of 206,7938 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 206,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,7938) = 2

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

GCF(206,7938) x common factors =2 x 1 = 2

LCM(206,7938) = ( 206 × 7938 ) / 2

LCM(206,7938) = 1635228 / 2

LCM(206,7938) = 817614


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6407/206, 9793/7938

1. What is the HCF of 6407,9793?

The HCF of 6407,9793 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6407/206, 9793/7938?

Answer: GCF of Numerators as per given numbers 6407/206, 9793/7938 is

GCF of Numerators i.e. for 6407,9793 is 1

LCM of denominators i.e. for 206,7938 is 817614.

Thus, GCF of Fractions is 1/817614.Finally, GCF of Fractions for 6407/206, 9793/7938 is 1/817614.