How to Find GCF of 698/21, 150/8744?

GCF of 698/21, 150/8744

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 698/21, 150/8744 i.e 2/183624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/21, 150/8744.

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 698/21,150/8744?

Given fractions are 698/21,150/8744

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 698/21,150/8744, numerators are 698,150

Denominators are 21,8744

The GCF of 698,150 is 2 .

LCM of 21,8744 is 183624.

The greatest common factor of 698/21,150/8744 = [GCF of 698,150]/[LCM of 21,8744]= 2/183624

Therefore, the GCF of 698/21,150/8744 is 2/183624.

Greatest Common Factor of 698,150

To find the highest common factor of 698,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The HCF of 698,150 is 2.

Lets's calculate GCF of 698,150

Greatest Common Factor (GCF) of 698,150 By Common Division

2	698, 150
	349, 75

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

Greatest Common Factor of 698,150 By Matching Biggest Common Factor Method

Now, list down the factors of 698

1,2,349,698

Now, list down the factors of 150

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 698,150 . The biggest common factor number is the GCF number.
So the greatest common factor 698,150 is 2.

Lets's calculate LCM of 21,8744

Lowest Common Multiple of 21,8744 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 183624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/183624

Therefore, the GCF of Fractions 698/21,150/8744 is 2/183624

Least Common Multiple of 21,8744 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 21,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8744) = 1

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

GCF(21,8744) x common factors =1 x 1 = 1

LCM(21,8744) = ( 21 × 8744 ) / 1

LCM(21,8744) = 183624 / 1

LCM(21,8744) = 183624

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 698/21, 150/8744

1. What is the HCF of 698,150?

The HCF of 698,150 is 2

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 698/21, 150/8744?

Answer: GCF of Numerators as per given numbers 698/21, 150/8744 is

GCF of Numerators i.e. for 698,150 is 2

LCM of denominators i.e. for 21,8744 is 183624.

Thus, GCF of Fractions is 2/183624.Finally, GCF of Fractions for 698/21, 150/8744 is 2/183624.