GCF of 9275/159, 9646/7282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9275/159, 9646/7282 i.e 371/1157838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9275/159, 9646/7282.
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 9275/159,9646/7282?
Given fractions are 9275/159,9646/7282
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 9275/159,9646/7282, numerators are 9275,9646
Denominators are 159,7282
The GCF of 9275,9646 is 371 .
LCM of 159,7282 is 1157838.
The greatest common factor of 9275/159,9646/7282 = [GCF of 9275,9646]/[LCM of 159,7282]= 371/1157838
Therefore, the GCF of 9275/159,9646/7282 is 371/1157838.
To find the highest common factor of 9275,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 9275,9646 is 371.
Lets's calculate GCF of 9275,9646
| 7 | 9275, 9646 |
| 53 | 1325, 1378 |
| 25, 26 |
∴ So the GCF of the given numbers is 7 x 53 = 371
Greatest Common Factor of 9275,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 9275,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 9275,9646 is 371.
Lets's calculate LCM of 159,7282
Given numbers has no common factors except 1. So, there LCM is their product i.e 1157838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 371/1157838
Therefore, the GCF of Fractions 9275/159,9646/7282 is 371/1157838
Least Common Multiple of 159,7282 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 159,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7282) x common factors =1 x 1 = 1
LCM(159,7282) = ( 159 × 7282 ) / 1
LCM(159,7282) = 1157838 / 1
LCM(159,7282) = 1157838
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FAQs on GCF of Fractions of 9275/159, 9646/7282
1. What is the HCF of 9275,9646?
The HCF of 9275,9646 is 371
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 9275/159, 9646/7282?
Answer: GCF of Numerators as per given numbers 9275/159, 9646/7282 is
GCF of Numerators i.e. for 9275,9646 is 371
LCM of denominators i.e. for 159,7282 is 1157838.
Thus, GCF of Fractions is 371/1157838.Finally, GCF of Fractions for 9275/159, 9646/7282 is 371/1157838.