GCF of 3047/30, 7665/325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3047/30, 7665/325 i.e 1/1950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3047/30, 7665/325.
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 3047/30,7665/325?
Given fractions are 3047/30,7665/325
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 3047/30,7665/325, numerators are 3047,7665
Denominators are 30,325
The GCF of 3047,7665 is 1 .
LCM of 30,325 is 1950.
The greatest common factor of 3047/30,7665/325 = [GCF of 3047,7665]/[LCM of 30,325]= 1/1950
Therefore, the GCF of 3047/30,7665/325 is 1/1950.
To find the highest common factor of 3047,7665, we have to find the factors of both numbers and list the highest common factor.
The factors of 3047 are 1, 11, 277, 3047
The factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The HCF of 3047,7665 is 1.
Lets's calculate GCF of 3047,7665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3047,7665 By Matching Biggest Common Factor Method
Now, list down the factors of 3047
:1,11,277,3047
Now, list down the factors of 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Greatest Common Factor
We found the factors 3047,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 3047,7665 is 1.
Lets's calculate LCM of 30,325
| 5 | 30, 325 |
| 6, 65 |
∴ So the LCM of the given numbers is 5 x 6 x 65 = 1950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1950
Therefore, the GCF of Fractions 3047/30,7665/325 is 1/1950
Least Common Multiple of 30,325 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 30,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,325) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,325) x common factors =5 x 1 = 5
LCM(30,325) = ( 30 × 325 ) / 5
LCM(30,325) = 9750 / 5
LCM(30,325) = 1950
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FAQs on GCF of Fractions of 3047/30, 7665/325
1. What is the HCF of 3047,7665?
The HCF of 3047,7665 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 3047/30, 7665/325?
Answer: GCF of Numerators as per given numbers 3047/30, 7665/325 is
GCF of Numerators i.e. for 3047,7665 is 1
LCM of denominators i.e. for 30,325 is 1950.
Thus, GCF of Fractions is 1/1950.Finally, GCF of Fractions for 3047/30, 7665/325 is 1/1950.