How to Find GCF of 149/200, 551/408?

GCF of 149/200, 551/408

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 149/200, 551/408 i.e 1/10200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/200, 551/408.

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 149/200,551/408?

Given fractions are 149/200,551/408

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 149/200,551/408, numerators are 149,551

Denominators are 200,408

The GCF of 149,551 is 1 .

LCM of 200,408 is 10200.

The greatest common factor of 149/200,551/408 = [GCF of 149,551]/[LCM of 200,408]= 1/10200

Therefore, the GCF of 149/200,551/408 is 1/10200.

Greatest Common Factor of 149,551

To find the highest common factor of 149,551, we have to find the factors of both numbers and list the highest common factor.

The factors of 149 are 1, 149

The factors of 551 are 1, 19, 29, 551

The HCF of 149,551 is 1.

Lets's calculate GCF of 149,551

Greatest Common Factor (GCF) of 149,551 By Common Division

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

Greatest Common Factor of 149,551 By Matching Biggest Common Factor Method

Now, list down the factors of 149

1,149

Now, list down the factors of 551

1,19,29,551

Greatest Common Factor

We found the factors 149,551 . The biggest common factor number is the GCF number.
So the greatest common factor 149,551 is 1.

Lets's calculate LCM of 200,408

Lowest Common Multiple of 200,408 using Common Division

2	200, 408
2	100, 204
2	50, 102
	25, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 51 = 10200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10200

Therefore, the GCF of Fractions 149/200,551/408 is 1/10200

Least Common Multiple of 200,408 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 200,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,408) = 8

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

GCF(200,408) x common factors =8 x 1 = 8

LCM(200,408) = ( 200 × 408 ) / 8

LCM(200,408) = 81600 / 8

LCM(200,408) = 10200

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 149/200, 551/408

1. What is the HCF of 149,551?

The HCF of 149,551 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 149/200, 551/408?

Answer: GCF of Numerators as per given numbers 149/200, 551/408 is

GCF of Numerators i.e. for 149,551 is 1

LCM of denominators i.e. for 200,408 is 10200.

Thus, GCF of Fractions is 1/10200.Finally, GCF of Fractions for 149/200, 551/408 is 1/10200.