GCF of 9252/925, 2567/8066
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9252/925, 2567/8066 i.e 1/201650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9252/925, 2567/8066.
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 9252/925,2567/8066?
Given fractions are 9252/925,2567/8066
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 9252/925,2567/8066, numerators are 9252,2567
Denominators are 925,8066
The GCF of 9252,2567 is 1 .
LCM of 925,8066 is 201650.
The greatest common factor of 9252/925,2567/8066 = [GCF of 9252,2567]/[LCM of 925,8066]= 1/201650
Therefore, the GCF of 9252/925,2567/8066 is 1/201650.
To find the highest common factor of 9252,2567, we have to find the factors of both numbers and list the highest common factor.
The factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252
The factors of 2567 are 1, 17, 151, 2567
The HCF of 9252,2567 is 1.
Lets's calculate GCF of 9252,2567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9252,2567 By Matching Biggest Common Factor Method
Now, list down the factors of 9252
:1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252
Now, list down the factors of 2567
:1,17,151,2567
Greatest Common Factor
We found the factors 9252,2567 . The biggest common factor number is the GCF number.
So the greatest common factor 9252,2567 is 1.
Lets's calculate LCM of 925,8066
| 37 | 925, 8066 |
| 25, 218 |
∴ So the LCM of the given numbers is 37 x 25 x 218 = 201650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201650
Therefore, the GCF of Fractions 9252/925,2567/8066 is 1/201650
Least Common Multiple of 925,8066 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 925,8066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,8066) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(925,8066) x common factors =37 x 1 = 37
LCM(925,8066) = ( 925 × 8066 ) / 37
LCM(925,8066) = 7461050 / 37
LCM(925,8066) = 201650
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FAQs on GCF of Fractions of 9252/925, 2567/8066
1. What is the HCF of 9252,2567?
The HCF of 9252,2567 is 1
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 9252/925, 2567/8066?
Answer: GCF of Numerators as per given numbers 9252/925, 2567/8066 is
GCF of Numerators i.e. for 9252,2567 is 1
LCM of denominators i.e. for 925,8066 is 201650.
Thus, GCF of Fractions is 1/201650.Finally, GCF of Fractions for 9252/925, 2567/8066 is 1/201650.