How to Find GCF of 8468/382, 5108/3649?

GCF of 8468/382, 5108/3649

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 8468/382, 5108/3649 i.e 4/1393918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8468/382, 5108/3649.

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 8468/382,5108/3649?

Given fractions are 8468/382,5108/3649

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 8468/382,5108/3649, numerators are 8468,5108

Denominators are 382,3649

The GCF of 8468,5108 is 4 .

LCM of 382,3649 is 1393918.

The greatest common factor of 8468/382,5108/3649 = [GCF of 8468,5108]/[LCM of 382,3649]= 4/1393918

Therefore, the GCF of 8468/382,5108/3649 is 4/1393918.

Greatest Common Factor of 8468,5108

To find the highest common factor of 8468,5108, we have to find the factors of both numbers and list the highest common factor.

The factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468

The factors of 5108 are 1, 2, 4, 1277, 2554, 5108

The HCF of 8468,5108 is 4.

Lets's calculate GCF of 8468,5108

Greatest Common Factor (GCF) of 8468,5108 By Common Division

2	8468, 5108
2	4234, 2554
	2117, 1277

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8468,5108 By Matching Biggest Common Factor Method

Now, list down the factors of 8468

1,2,4,29,58,73,116,146,292,2117,4234,8468

Now, list down the factors of 5108

1,2,4,1277,2554,5108

Greatest Common Factor

We found the factors 8468,5108 . The biggest common factor number is the GCF number.
So the greatest common factor 8468,5108 is 4.

Lets's calculate LCM of 382,3649

Lowest Common Multiple of 382,3649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1393918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1393918

Therefore, the GCF of Fractions 8468/382,5108/3649 is 4/1393918

Least Common Multiple of 382,3649 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 382,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,3649) = 1

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

GCF(382,3649) x common factors =1 x 1 = 1

LCM(382,3649) = ( 382 × 3649 ) / 1

LCM(382,3649) = 1393918 / 1

LCM(382,3649) = 1393918

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8468/382, 5108/3649

1. What is the HCF of 8468,5108?

The HCF of 8468,5108 is 4

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 8468/382, 5108/3649?

Answer: GCF of Numerators as per given numbers 8468/382, 5108/3649 is

GCF of Numerators i.e. for 8468,5108 is 4

LCM of denominators i.e. for 382,3649 is 1393918.

Thus, GCF of Fractions is 4/1393918.Finally, GCF of Fractions for 8468/382, 5108/3649 is 4/1393918.