GCF of 9064/850, 7725/8285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9064/850, 7725/8285 i.e 103/1408450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9064/850, 7725/8285.
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 9064/850,7725/8285?
Given fractions are 9064/850,7725/8285
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 9064/850,7725/8285, numerators are 9064,7725
Denominators are 850,8285
The GCF of 9064,7725 is 103 .
LCM of 850,8285 is 1408450.
The greatest common factor of 9064/850,7725/8285 = [GCF of 9064,7725]/[LCM of 850,8285]= 103/1408450
Therefore, the GCF of 9064/850,7725/8285 is 103/1408450.
To find the highest common factor of 9064,7725, we have to find the factors of both numbers and list the highest common factor.
The factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064
The factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
The HCF of 9064,7725 is 103.
Lets's calculate GCF of 9064,7725
| 103 | 9064, 7725 |
| 88, 75 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 9064,7725 By Matching Biggest Common Factor Method
Now, list down the factors of 9064
:1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064
Now, list down the factors of 7725
:1,3,5,15,25,75,103,309,515,1545,2575,7725
Greatest Common Factor
We found the factors 9064,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 9064,7725 is 103.
Lets's calculate LCM of 850,8285
| 5 | 850, 8285 |
| 170, 1657 |
∴ So the LCM of the given numbers is 5 x 170 x 1657 = 1408450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/1408450
Therefore, the GCF of Fractions 9064/850,7725/8285 is 103/1408450
Least Common Multiple of 850,8285 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 850,8285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,8285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(850,8285) x common factors =5 x 1 = 5
LCM(850,8285) = ( 850 × 8285 ) / 5
LCM(850,8285) = 7042250 / 5
LCM(850,8285) = 1408450
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FAQs on GCF of Fractions of 9064/850, 7725/8285
1. What is the HCF of 9064,7725?
The HCF of 9064,7725 is 103
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 9064/850, 7725/8285?
Answer: GCF of Numerators as per given numbers 9064/850, 7725/8285 is
GCF of Numerators i.e. for 9064,7725 is 103
LCM of denominators i.e. for 850,8285 is 1408450.
Thus, GCF of Fractions is 103/1408450.Finally, GCF of Fractions for 9064/850, 7725/8285 is 103/1408450.