How to Find GCF of 1508/188, 5369/9010?

GCF of 1508/188, 5369/9010

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 1508/188, 5369/9010 i.e 13/846940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1508/188, 5369/9010.

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 1508/188,5369/9010?

Given fractions are 1508/188,5369/9010

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 1508/188,5369/9010, numerators are 1508,5369

Denominators are 188,9010

The GCF of 1508,5369 is 13 .

LCM of 188,9010 is 846940.

The greatest common factor of 1508/188,5369/9010 = [GCF of 1508,5369]/[LCM of 188,9010]= 13/846940

Therefore, the GCF of 1508/188,5369/9010 is 13/846940.

Greatest Common Factor of 1508,5369

To find the highest common factor of 1508,5369, we have to find the factors of both numbers and list the highest common factor.

The factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

The factors of 5369 are 1, 7, 13, 59, 91, 413, 767, 5369

The HCF of 1508,5369 is 13.

Lets's calculate GCF of 1508,5369

Greatest Common Factor (GCF) of 1508,5369 By Common Division

13	1508, 5369
	116, 413

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

Greatest Common Factor of 1508,5369 By Matching Biggest Common Factor Method

Now, list down the factors of 1508

1,2,4,13,26,29,52,58,116,377,754,1508

Now, list down the factors of 5369

1,7,13,59,91,413,767,5369

Greatest Common Factor

We found the factors 1508,5369 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,5369 is 13.

Lets's calculate LCM of 188,9010

Lowest Common Multiple of 188,9010 using Common Division

2	188, 9010
	94, 4505

∴ So the LCM of the given numbers is 2 x 94 x 4505 = 846940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/846940

Therefore, the GCF of Fractions 1508/188,5369/9010 is 13/846940

Least Common Multiple of 188,9010 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 188,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,9010) = 2

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

GCF(188,9010) x common factors =2 x 1 = 2

LCM(188,9010) = ( 188 × 9010 ) / 2

LCM(188,9010) = 1693880 / 2

LCM(188,9010) = 846940

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1508/188, 5369/9010

1. What is the HCF of 1508,5369?

The HCF of 1508,5369 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 1508/188, 5369/9010?

Answer: GCF of Numerators as per given numbers 1508/188, 5369/9010 is

GCF of Numerators i.e. for 1508,5369 is 13

LCM of denominators i.e. for 188,9010 is 846940.

Thus, GCF of Fractions is 13/846940.Finally, GCF of Fractions for 1508/188, 5369/9010 is 13/846940.