GCF of 9150/790, 8925/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9150/790, 8925/162 i.e 75/63990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9150/790, 8925/162.
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 9150/790,8925/162?
Given fractions are 9150/790,8925/162
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 9150/790,8925/162, numerators are 9150,8925
Denominators are 790,162
The GCF of 9150,8925 is 75 .
LCM of 790,162 is 63990.
The greatest common factor of 9150/790,8925/162 = [GCF of 9150,8925]/[LCM of 790,162]= 75/63990
Therefore, the GCF of 9150/790,8925/162 is 75/63990.
To find the highest common factor of 9150,8925, we have to find the factors of both numbers and list the highest common factor.
The factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150
The factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
The HCF of 9150,8925 is 75.
Lets's calculate GCF of 9150,8925
| 3 | 9150, 8925 |
| 5 | 3050, 2975 |
| 5 | 610, 595 |
| 122, 119 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 9150,8925 By Matching Biggest Common Factor Method
Now, list down the factors of 9150
:1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Now, list down the factors of 8925
:1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 9150,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 9150,8925 is 75.
Lets's calculate LCM of 790,162
| 2 | 790, 162 |
| 395, 81 |
∴ So the LCM of the given numbers is 2 x 395 x 81 = 63990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/63990
Therefore, the GCF of Fractions 9150/790,8925/162 is 75/63990
Least Common Multiple of 790,162 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 790,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,162) x common factors =2 x 1 = 2
LCM(790,162) = ( 790 × 162 ) / 2
LCM(790,162) = 127980 / 2
LCM(790,162) = 63990
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FAQs on GCF of Fractions of 9150/790, 8925/162
1. What is the HCF of 9150,8925?
The HCF of 9150,8925 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 9150/790, 8925/162?
Answer: GCF of Numerators as per given numbers 9150/790, 8925/162 is
GCF of Numerators i.e. for 9150,8925 is 75
LCM of denominators i.e. for 790,162 is 63990.
Thus, GCF of Fractions is 75/63990.Finally, GCF of Fractions for 9150/790, 8925/162 is 75/63990.