GCF of 9175/640, 1225/9615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9175/640, 1225/9615 i.e 25/1230720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9175/640, 1225/9615.
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 9175/640,1225/9615?
Given fractions are 9175/640,1225/9615
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 9175/640,1225/9615, numerators are 9175,1225
Denominators are 640,9615
The GCF of 9175,1225 is 25 .
LCM of 640,9615 is 1230720.
The greatest common factor of 9175/640,1225/9615 = [GCF of 9175,1225]/[LCM of 640,9615]= 25/1230720
Therefore, the GCF of 9175/640,1225/9615 is 25/1230720.
To find the highest common factor of 9175,1225, we have to find the factors of both numbers and list the highest common factor.
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225
The HCF of 9175,1225 is 25.
Lets's calculate GCF of 9175,1225
| 5 | 9175, 1225 |
| 5 | 1835, 245 |
| 367, 49 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9175,1225 By Matching Biggest Common Factor Method
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Now, list down the factors of 1225
:1,5,7,25,35,49,175,245,1225
Greatest Common Factor
We found the factors 9175,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,1225 is 25.
Lets's calculate LCM of 640,9615
| 5 | 640, 9615 |
| 128, 1923 |
∴ So the LCM of the given numbers is 5 x 128 x 1923 = 1230720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1230720
Therefore, the GCF of Fractions 9175/640,1225/9615 is 25/1230720
Least Common Multiple of 640,9615 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 640,9615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,9615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,9615) x common factors =5 x 1 = 5
LCM(640,9615) = ( 640 × 9615 ) / 5
LCM(640,9615) = 6153600 / 5
LCM(640,9615) = 1230720
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FAQs on GCF of Fractions of 9175/640, 1225/9615
1. What is the HCF of 9175,1225?
The HCF of 9175,1225 is 25
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 9175/640, 1225/9615?
Answer: GCF of Numerators as per given numbers 9175/640, 1225/9615 is
GCF of Numerators i.e. for 9175,1225 is 25
LCM of denominators i.e. for 640,9615 is 1230720.
Thus, GCF of Fractions is 25/1230720.Finally, GCF of Fractions for 9175/640, 1225/9615 is 25/1230720.