GCF of 44/625, 9306/2400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/625, 9306/2400 i.e 22/60000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/625, 9306/2400.
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 44/625,9306/2400?
Given fractions are 44/625,9306/2400
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 44/625,9306/2400, numerators are 44,9306
Denominators are 625,2400
The GCF of 44,9306 is 22 .
LCM of 625,2400 is 60000.
The greatest common factor of 44/625,9306/2400 = [GCF of 44,9306]/[LCM of 625,2400]= 22/60000
Therefore, the GCF of 44/625,9306/2400 is 22/60000.
To find the highest common factor of 44,9306, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306
The HCF of 44,9306 is 22.
Lets's calculate GCF of 44,9306
| 2 | 44, 9306 |
| 11 | 22, 4653 |
| 2, 423 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 44,9306 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 9306
:1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Greatest Common Factor
We found the factors 44,9306 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9306 is 22.
Lets's calculate LCM of 625,2400
| 5 | 625, 2400 |
| 5 | 125, 480 |
| 25, 96 |
∴ So the LCM of the given numbers is 5 x 5 x 25 x 96 = 60000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/60000
Therefore, the GCF of Fractions 44/625,9306/2400 is 22/60000
Least Common Multiple of 625,2400 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 625,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,2400) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(625,2400) x common factors =25 x 1 = 25
LCM(625,2400) = ( 625 × 2400 ) / 25
LCM(625,2400) = 1500000 / 25
LCM(625,2400) = 60000
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FAQs on GCF of Fractions of 44/625, 9306/2400
1. What is the HCF of 44,9306?
The HCF of 44,9306 is 22
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 44/625, 9306/2400?
Answer: GCF of Numerators as per given numbers 44/625, 9306/2400 is
GCF of Numerators i.e. for 44,9306 is 22
LCM of denominators i.e. for 625,2400 is 60000.
Thus, GCF of Fractions is 22/60000.Finally, GCF of Fractions for 44/625, 9306/2400 is 22/60000.