How to Find GCF of 6206/913, 1225/5158?

GCF of 6206/913, 1225/5158

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 6206/913, 1225/5158 i.e 1/4709254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6206/913, 1225/5158.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6206/913,1225/5158?

Given fractions are 6206/913,1225/5158

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 6206/913,1225/5158, numerators are 6206,1225

Denominators are 913,5158

The GCF of 6206,1225 is 1 .

LCM of 913,5158 is 4709254.

The greatest common factor of 6206/913,1225/5158 = [GCF of 6206,1225]/[LCM of 913,5158]= 1/4709254

Therefore, the GCF of 6206/913,1225/5158 is 1/4709254.

Greatest Common Factor of 6206,1225

To find the highest common factor of 6206,1225, we have to find the factors of both numbers and list the highest common factor.

The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206

The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225

The HCF of 6206,1225 is 1.

Lets's calculate GCF of 6206,1225

Greatest Common Factor (GCF) of 6206,1225 By Common Division

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

Greatest Common Factor of 6206,1225 By Matching Biggest Common Factor Method

Now, list down the factors of 6206

1,2,29,58,107,214,3103,6206

Now, list down the factors of 1225

1,5,7,25,35,49,175,245,1225

Greatest Common Factor

We found the factors 6206,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 6206,1225 is 1.

Lets's calculate LCM of 913,5158

Lowest Common Multiple of 913,5158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4709254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4709254

Therefore, the GCF of Fractions 6206/913,1225/5158 is 1/4709254

Least Common Multiple of 913,5158 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 913,5158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,5158) = 1

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

GCF(913,5158) x common factors =1 x 1 = 1

LCM(913,5158) = ( 913 × 5158 ) / 1

LCM(913,5158) = 4709254 / 1

LCM(913,5158) = 4709254

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6206/913, 1225/5158

1. What is the HCF of 6206,1225?

The HCF of 6206,1225 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 6206/913, 1225/5158?

Answer: GCF of Numerators as per given numbers 6206/913, 1225/5158 is

GCF of Numerators i.e. for 6206,1225 is 1

LCM of denominators i.e. for 913,5158 is 4709254.

Thus, GCF of Fractions is 1/4709254.Finally, GCF of Fractions for 6206/913, 1225/5158 is 1/4709254.