GCF of 7564/204, 8318/9875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7564/204, 8318/9875 i.e 2/2014500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7564/204, 8318/9875.
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 7564/204,8318/9875?
Given fractions are 7564/204,8318/9875
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 7564/204,8318/9875, numerators are 7564,8318
Denominators are 204,9875
The GCF of 7564,8318 is 2 .
LCM of 204,9875 is 2014500.
The greatest common factor of 7564/204,8318/9875 = [GCF of 7564,8318]/[LCM of 204,9875]= 2/2014500
Therefore, the GCF of 7564/204,8318/9875 is 2/2014500.
To find the highest common factor of 7564,8318, we have to find the factors of both numbers and list the highest common factor.
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The factors of 8318 are 1, 2, 4159, 8318
The HCF of 7564,8318 is 2.
Lets's calculate GCF of 7564,8318
| 2 | 7564, 8318 |
| 3782, 4159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7564,8318 By Matching Biggest Common Factor Method
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Now, list down the factors of 8318
:1,2,4159,8318
Greatest Common Factor
We found the factors 7564,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,8318 is 2.
Lets's calculate LCM of 204,9875
Given numbers has no common factors except 1. So, there LCM is their product i.e 2014500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2014500
Therefore, the GCF of Fractions 7564/204,8318/9875 is 2/2014500
Least Common Multiple of 204,9875 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 204,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9875) x common factors =1 x 1 = 1
LCM(204,9875) = ( 204 × 9875 ) / 1
LCM(204,9875) = 2014500 / 1
LCM(204,9875) = 2014500
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FAQs on GCF of Fractions of 7564/204, 8318/9875
1. What is the HCF of 7564,8318?
The HCF of 7564,8318 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 7564/204, 8318/9875?
Answer: GCF of Numerators as per given numbers 7564/204, 8318/9875 is
GCF of Numerators i.e. for 7564,8318 is 2
LCM of denominators i.e. for 204,9875 is 2014500.
Thus, GCF of Fractions is 2/2014500.Finally, GCF of Fractions for 7564/204, 8318/9875 is 2/2014500.