GCF of 207/966, 9243/3589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 207/966, 9243/3589 i.e 9/3466974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/966, 9243/3589.
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 207/966,9243/3589?
Given fractions are 207/966,9243/3589
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 207/966,9243/3589, numerators are 207,9243
Denominators are 966,3589
The GCF of 207,9243 is 9 .
LCM of 966,3589 is 3466974.
The greatest common factor of 207/966,9243/3589 = [GCF of 207,9243]/[LCM of 966,3589]= 9/3466974
Therefore, the GCF of 207/966,9243/3589 is 9/3466974.
To find the highest common factor of 207,9243, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243
The HCF of 207,9243 is 9.
Lets's calculate GCF of 207,9243
| 3 | 207, 9243 |
| 3 | 69, 3081 |
| 23, 1027 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 207,9243 By Matching Biggest Common Factor Method
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 9243
:1,3,9,13,39,79,117,237,711,1027,3081,9243
Greatest Common Factor
We found the factors 207,9243 . The biggest common factor number is the GCF number.
So the greatest common factor 207,9243 is 9.
Lets's calculate LCM of 966,3589
Given numbers has no common factors except 1. So, there LCM is their product i.e 3466974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3466974
Therefore, the GCF of Fractions 207/966,9243/3589 is 9/3466974
Least Common Multiple of 966,3589 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 966,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,3589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,3589) x common factors =1 x 1 = 1
LCM(966,3589) = ( 966 × 3589 ) / 1
LCM(966,3589) = 3466974 / 1
LCM(966,3589) = 3466974
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FAQs on GCF of Fractions of 207/966, 9243/3589
1. What is the HCF of 207,9243?
The HCF of 207,9243 is 9
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 207/966, 9243/3589?
Answer: GCF of Numerators as per given numbers 207/966, 9243/3589 is
GCF of Numerators i.e. for 207,9243 is 9
LCM of denominators i.e. for 966,3589 is 3466974.
Thus, GCF of Fractions is 9/3466974.Finally, GCF of Fractions for 207/966, 9243/3589 is 9/3466974.