GCF of 9653/625, 1958/1615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9653/625, 1958/1615 i.e 1/201875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9653/625, 1958/1615.
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 9653/625,1958/1615?
Given fractions are 9653/625,1958/1615
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 9653/625,1958/1615, numerators are 9653,1958
Denominators are 625,1615
The GCF of 9653,1958 is 1 .
LCM of 625,1615 is 201875.
The greatest common factor of 9653/625,1958/1615 = [GCF of 9653,1958]/[LCM of 625,1615]= 1/201875
Therefore, the GCF of 9653/625,1958/1615 is 1/201875.
To find the highest common factor of 9653,1958, we have to find the factors of both numbers and list the highest common factor.
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The HCF of 9653,1958 is 1.
Lets's calculate GCF of 9653,1958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9653,1958 By Matching Biggest Common Factor Method
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors 9653,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 9653,1958 is 1.
Lets's calculate LCM of 625,1615
| 5 | 625, 1615 |
| 125, 323 |
∴ So the LCM of the given numbers is 5 x 125 x 323 = 201875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201875
Therefore, the GCF of Fractions 9653/625,1958/1615 is 1/201875
Least Common Multiple of 625,1615 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 625,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,1615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(625,1615) x common factors =5 x 1 = 5
LCM(625,1615) = ( 625 × 1615 ) / 5
LCM(625,1615) = 1009375 / 5
LCM(625,1615) = 201875
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FAQs on GCF of Fractions of 9653/625, 1958/1615
1. What is the HCF of 9653,1958?
The HCF of 9653,1958 is 1
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 9653/625, 1958/1615?
Answer: GCF of Numerators as per given numbers 9653/625, 1958/1615 is
GCF of Numerators i.e. for 9653,1958 is 1
LCM of denominators i.e. for 625,1615 is 201875.
Thus, GCF of Fractions is 1/201875.Finally, GCF of Fractions for 9653/625, 1958/1615 is 1/201875.