GCF of 150/96, 975/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/96, 975/715 i.e 75/68640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/96, 975/715.
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 150/96,975/715?
Given fractions are 150/96,975/715
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 150/96,975/715, numerators are 150,975
Denominators are 96,715
The GCF of 150,975 is 75 .
LCM of 96,715 is 68640.
The greatest common factor of 150/96,975/715 = [GCF of 150,975]/[LCM of 96,715]= 75/68640
Therefore, the GCF of 150/96,975/715 is 75/68640.
To find the highest common factor of 150,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 150,975 is 75.
Lets's calculate GCF of 150,975
| 3 | 150, 975 |
| 5 | 50, 325 |
| 5 | 10, 65 |
| 2, 13 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 150,975 By Matching Biggest Common Factor Method
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 150,975 . The biggest common factor number is the GCF number.
So the greatest common factor 150,975 is 75.
Lets's calculate LCM of 96,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 68640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/68640
Therefore, the GCF of Fractions 150/96,975/715 is 75/68640
Least Common Multiple of 96,715 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 96,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,715) x common factors =1 x 1 = 1
LCM(96,715) = ( 96 × 715 ) / 1
LCM(96,715) = 68640 / 1
LCM(96,715) = 68640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 150/96, 975/715
1. What is the HCF of 150,975?
The HCF of 150,975 is 75
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 150/96, 975/715?
Answer: GCF of Numerators as per given numbers 150/96, 975/715 is
GCF of Numerators i.e. for 150,975 is 75
LCM of denominators i.e. for 96,715 is 68640.
Thus, GCF of Fractions is 75/68640.Finally, GCF of Fractions for 150/96, 975/715 is 75/68640.