GCF of 9650/587, 2576/4975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9650/587, 2576/4975 i.e 2/2920325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9650/587, 2576/4975.
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 9650/587,2576/4975?
Given fractions are 9650/587,2576/4975
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 9650/587,2576/4975, numerators are 9650,2576
Denominators are 587,4975
The GCF of 9650,2576 is 2 .
LCM of 587,4975 is 2920325.
The greatest common factor of 9650/587,2576/4975 = [GCF of 9650,2576]/[LCM of 587,4975]= 2/2920325
Therefore, the GCF of 9650/587,2576/4975 is 2/2920325.
To find the highest common factor of 9650,2576, we have to find the factors of both numbers and list the highest common factor.
The factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The HCF of 9650,2576 is 2.
Lets's calculate GCF of 9650,2576
| 2 | 9650, 2576 |
| 4825, 1288 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9650,2576 By Matching Biggest Common Factor Method
Now, list down the factors of 9650
:1,2,5,10,25,50,193,386,965,1930,4825,9650
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Greatest Common Factor
We found the factors 9650,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 9650,2576 is 2.
Lets's calculate LCM of 587,4975
Given numbers has no common factors except 1. So, there LCM is their product i.e 2920325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2920325
Therefore, the GCF of Fractions 9650/587,2576/4975 is 2/2920325
Least Common Multiple of 587,4975 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 587,4975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,4975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,4975) x common factors =1 x 1 = 1
LCM(587,4975) = ( 587 × 4975 ) / 1
LCM(587,4975) = 2920325 / 1
LCM(587,4975) = 2920325
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FAQs on GCF of Fractions of 9650/587, 2576/4975
1. What is the HCF of 9650,2576?
The HCF of 9650,2576 is 2
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 9650/587, 2576/4975?
Answer: GCF of Numerators as per given numbers 9650/587, 2576/4975 is
GCF of Numerators i.e. for 9650,2576 is 2
LCM of denominators i.e. for 587,4975 is 2920325.
Thus, GCF of Fractions is 2/2920325.Finally, GCF of Fractions for 9650/587, 2576/4975 is 2/2920325.