How to Find GCF of 5109/262, 3146/2255?

GCF of 5109/262, 3146/2255

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 5109/262, 3146/2255 i.e 13/590810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5109/262, 3146/2255.

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 5109/262,3146/2255?

Given fractions are 5109/262,3146/2255

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 5109/262,3146/2255, numerators are 5109,3146

Denominators are 262,2255

The GCF of 5109,3146 is 13 .

LCM of 262,2255 is 590810.

The greatest common factor of 5109/262,3146/2255 = [GCF of 5109,3146]/[LCM of 262,2255]= 13/590810

Therefore, the GCF of 5109/262,3146/2255 is 13/590810.

Greatest Common Factor of 5109,3146

To find the highest common factor of 5109,3146, we have to find the factors of both numbers and list the highest common factor.

The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109

The factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146

The HCF of 5109,3146 is 13.

Lets's calculate GCF of 5109,3146

Greatest Common Factor (GCF) of 5109,3146 By Common Division

13	5109, 3146
	393, 242

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5109,3146 By Matching Biggest Common Factor Method

Now, list down the factors of 5109

1,3,13,39,131,393,1703,5109

Now, list down the factors of 3146

1,2,11,13,22,26,121,143,242,286,1573,3146

Greatest Common Factor

We found the factors 5109,3146 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,3146 is 13.

Lets's calculate LCM of 262,2255

Lowest Common Multiple of 262,2255 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 590810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/590810

Therefore, the GCF of Fractions 5109/262,3146/2255 is 13/590810

Least Common Multiple of 262,2255 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 262,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,2255) = 1

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

GCF(262,2255) x common factors =1 x 1 = 1

LCM(262,2255) = ( 262 × 2255 ) / 1

LCM(262,2255) = 590810 / 1

LCM(262,2255) = 590810

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FAQs on GCF of Fractions of 5109/262, 3146/2255

1. What is the HCF of 5109,3146?

The HCF of 5109,3146 is 13

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 5109/262, 3146/2255?

Answer: GCF of Numerators as per given numbers 5109/262, 3146/2255 is

GCF of Numerators i.e. for 5109,3146 is 13

LCM of denominators i.e. for 262,2255 is 590810.

Thus, GCF of Fractions is 13/590810.Finally, GCF of Fractions for 5109/262, 3146/2255 is 13/590810.