GCF of 9175/822, 4350/9688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9175/822, 4350/9688 i.e 25/3981768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9175/822, 4350/9688.
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 9175/822,4350/9688?
Given fractions are 9175/822,4350/9688
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 9175/822,4350/9688, numerators are 9175,4350
Denominators are 822,9688
The GCF of 9175,4350 is 25 .
LCM of 822,9688 is 3981768.
The greatest common factor of 9175/822,4350/9688 = [GCF of 9175,4350]/[LCM of 822,9688]= 25/3981768
Therefore, the GCF of 9175/822,4350/9688 is 25/3981768.
To find the highest common factor of 9175,4350, 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 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350
The HCF of 9175,4350 is 25.
Lets's calculate GCF of 9175,4350
| 5 | 9175, 4350 |
| 5 | 1835, 870 |
| 367, 174 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9175,4350 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 4350
:1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Greatest Common Factor
We found the factors 9175,4350 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,4350 is 25.
Lets's calculate LCM of 822,9688
| 2 | 822, 9688 |
| 411, 4844 |
∴ So the LCM of the given numbers is 2 x 411 x 4844 = 3981768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3981768
Therefore, the GCF of Fractions 9175/822,4350/9688 is 25/3981768
Least Common Multiple of 822,9688 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 822,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,9688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,9688) x common factors =2 x 1 = 2
LCM(822,9688) = ( 822 × 9688 ) / 2
LCM(822,9688) = 7963536 / 2
LCM(822,9688) = 3981768
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FAQs on GCF of Fractions of 9175/822, 4350/9688
1. What is the HCF of 9175,4350?
The HCF of 9175,4350 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 9175/822, 4350/9688?
Answer: GCF of Numerators as per given numbers 9175/822, 4350/9688 is
GCF of Numerators i.e. for 9175,4350 is 25
LCM of denominators i.e. for 822,9688 is 3981768.
Thus, GCF of Fractions is 25/3981768.Finally, GCF of Fractions for 9175/822, 4350/9688 is 25/3981768.