How to Find GCF of 1309/552, 8713/6258?

GCF of 1309/552, 8713/6258

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 1309/552, 8713/6258 i.e 1/575736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1309/552, 8713/6258.

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 1309/552,8713/6258?

Given fractions are 1309/552,8713/6258

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 1309/552,8713/6258, numerators are 1309,8713

Denominators are 552,6258

The GCF of 1309,8713 is 1 .

LCM of 552,6258 is 575736.

The greatest common factor of 1309/552,8713/6258 = [GCF of 1309,8713]/[LCM of 552,6258]= 1/575736

Therefore, the GCF of 1309/552,8713/6258 is 1/575736.

Greatest Common Factor of 1309,8713

To find the highest common factor of 1309,8713, we have to find the factors of both numbers and list the highest common factor.

The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309

The factors of 8713 are 1, 8713

The HCF of 1309,8713 is 1.

Lets's calculate GCF of 1309,8713

Greatest Common Factor (GCF) of 1309,8713 By Common Division

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

Greatest Common Factor of 1309,8713 By Matching Biggest Common Factor Method

Now, list down the factors of 1309

1,7,11,17,77,119,187,1309

Now, list down the factors of 8713

1,8713

Greatest Common Factor

We found the factors 1309,8713 . The biggest common factor number is the GCF number.
So the greatest common factor 1309,8713 is 1.

Lets's calculate LCM of 552,6258

Lowest Common Multiple of 552,6258 using Common Division

2	552, 6258
3	276, 3129
	92, 1043

∴ So the LCM of the given numbers is 2 x 3 x 92 x 1043 = 575736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/575736

Therefore, the GCF of Fractions 1309/552,8713/6258 is 1/575736

Least Common Multiple of 552,6258 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 552,6258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,6258) = 6

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

GCF(552,6258) x common factors =6 x 1 = 6

LCM(552,6258) = ( 552 × 6258 ) / 6

LCM(552,6258) = 3454416 / 6

LCM(552,6258) = 575736

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1309/552, 8713/6258

1. What is the HCF of 1309,8713?

The HCF of 1309,8713 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 1309/552, 8713/6258?

Answer: GCF of Numerators as per given numbers 1309/552, 8713/6258 is

GCF of Numerators i.e. for 1309,8713 is 1

LCM of denominators i.e. for 552,6258 is 575736.

Thus, GCF of Fractions is 1/575736.Finally, GCF of Fractions for 1309/552, 8713/6258 is 1/575736.