GCF of 3066/189, 9417/7522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3066/189, 9417/7522 i.e 219/1421658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3066/189, 9417/7522.
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 3066/189,9417/7522?
Given fractions are 3066/189,9417/7522
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 3066/189,9417/7522, numerators are 3066,9417
Denominators are 189,7522
The GCF of 3066,9417 is 219 .
LCM of 189,7522 is 1421658.
The greatest common factor of 3066/189,9417/7522 = [GCF of 3066,9417]/[LCM of 189,7522]= 219/1421658
Therefore, the GCF of 3066/189,9417/7522 is 219/1421658.
To find the highest common factor of 3066,9417, we have to find the factors of both numbers and list the highest common factor.
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417
The HCF of 3066,9417 is 219.
Lets's calculate GCF of 3066,9417
| 3 | 3066, 9417 |
| 73 | 1022, 3139 |
| 14, 43 |
∴ So the GCF of the given numbers is 3 x 73 = 219
Greatest Common Factor of 3066,9417 By Matching Biggest Common Factor Method
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Now, list down the factors of 9417
:1,3,43,73,129,219,3139,9417
Greatest Common Factor
We found the factors 3066,9417 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,9417 is 219.
Lets's calculate LCM of 189,7522
Given numbers has no common factors except 1. So, there LCM is their product i.e 1421658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 219/1421658
Therefore, the GCF of Fractions 3066/189,9417/7522 is 219/1421658
Least Common Multiple of 189,7522 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 189,7522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,7522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,7522) x common factors =1 x 1 = 1
LCM(189,7522) = ( 189 × 7522 ) / 1
LCM(189,7522) = 1421658 / 1
LCM(189,7522) = 1421658
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FAQs on GCF of Fractions of 3066/189, 9417/7522
1. What is the HCF of 3066,9417?
The HCF of 3066,9417 is 219
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 3066/189, 9417/7522?
Answer: GCF of Numerators as per given numbers 3066/189, 9417/7522 is
GCF of Numerators i.e. for 3066,9417 is 219
LCM of denominators i.e. for 189,7522 is 1421658.
Thus, GCF of Fractions is 219/1421658.Finally, GCF of Fractions for 3066/189, 9417/7522 is 219/1421658.