How to Find GCF of 5645/337, 8690/3845?

GCF of 5645/337, 8690/3845

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 5645/337, 8690/3845 i.e 5/1295765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5645/337, 8690/3845.

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 5645/337,8690/3845?

Given fractions are 5645/337,8690/3845

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 5645/337,8690/3845, numerators are 5645,8690

Denominators are 337,3845

The GCF of 5645,8690 is 5 .

LCM of 337,3845 is 1295765.

The greatest common factor of 5645/337,8690/3845 = [GCF of 5645,8690]/[LCM of 337,3845]= 5/1295765

Therefore, the GCF of 5645/337,8690/3845 is 5/1295765.

Greatest Common Factor of 5645,8690

To find the highest common factor of 5645,8690, we have to find the factors of both numbers and list the highest common factor.

The factors of 5645 are 1, 5, 1129, 5645

The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690

The HCF of 5645,8690 is 5.

Lets's calculate GCF of 5645,8690

Greatest Common Factor (GCF) of 5645,8690 By Common Division

5	5645, 8690
	1129, 1738

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5645,8690 By Matching Biggest Common Factor Method

Now, list down the factors of 5645

1,5,1129,5645

Now, list down the factors of 8690

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors 5645,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 5645,8690 is 5.

Lets's calculate LCM of 337,3845

Lowest Common Multiple of 337,3845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1295765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1295765

Therefore, the GCF of Fractions 5645/337,8690/3845 is 5/1295765

Least Common Multiple of 337,3845 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 337,3845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,3845) = 1

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

GCF(337,3845) x common factors =1 x 1 = 1

LCM(337,3845) = ( 337 × 3845 ) / 1

LCM(337,3845) = 1295765 / 1

LCM(337,3845) = 1295765

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FAQs on GCF of Fractions of 5645/337, 8690/3845

1. What is the HCF of 5645,8690?

The HCF of 5645,8690 is 5

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 5645/337, 8690/3845?

Answer: GCF of Numerators as per given numbers 5645/337, 8690/3845 is

GCF of Numerators i.e. for 5645,8690 is 5

LCM of denominators i.e. for 337,3845 is 1295765.

Thus, GCF of Fractions is 5/1295765.Finally, GCF of Fractions for 5645/337, 8690/3845 is 5/1295765.