GCF of 3007/552, 8165/9604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3007/552, 8165/9604 i.e 1/1325352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3007/552, 8165/9604.
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 3007/552,8165/9604?
Given fractions are 3007/552,8165/9604
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 3007/552,8165/9604, numerators are 3007,8165
Denominators are 552,9604
The GCF of 3007,8165 is 1 .
LCM of 552,9604 is 1325352.
The greatest common factor of 3007/552,8165/9604 = [GCF of 3007,8165]/[LCM of 552,9604]= 1/1325352
Therefore, the GCF of 3007/552,8165/9604 is 1/1325352.
To find the highest common factor of 3007,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 3007 are 1, 31, 97, 3007
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 3007,8165 is 1.
Lets's calculate GCF of 3007,8165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3007,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 3007
:1,31,97,3007
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 3007,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 3007,8165 is 1.
Lets's calculate LCM of 552,9604
| 2 | 552, 9604 |
| 2 | 276, 4802 |
| 138, 2401 |
∴ So the LCM of the given numbers is 2 x 2 x 138 x 2401 = 1325352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1325352
Therefore, the GCF of Fractions 3007/552,8165/9604 is 1/1325352
Least Common Multiple of 552,9604 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 552,9604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,9604) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(552,9604) x common factors =4 x 1 = 4
LCM(552,9604) = ( 552 × 9604 ) / 4
LCM(552,9604) = 5301408 / 4
LCM(552,9604) = 1325352
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FAQs on GCF of Fractions of 3007/552, 8165/9604
1. What is the HCF of 3007,8165?
The HCF of 3007,8165 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 3007/552, 8165/9604?
Answer: GCF of Numerators as per given numbers 3007/552, 8165/9604 is
GCF of Numerators i.e. for 3007,8165 is 1
LCM of denominators i.e. for 552,9604 is 1325352.
Thus, GCF of Fractions is 1/1325352.Finally, GCF of Fractions for 3007/552, 8165/9604 is 1/1325352.