GCF of 3384/835, 9207/3316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3384/835, 9207/3316 i.e 9/2768860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3384/835, 9207/3316.
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 3384/835,9207/3316?
Given fractions are 3384/835,9207/3316
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 3384/835,9207/3316, numerators are 3384,9207
Denominators are 835,3316
The GCF of 3384,9207 is 9 .
LCM of 835,3316 is 2768860.
The greatest common factor of 3384/835,9207/3316 = [GCF of 3384,9207]/[LCM of 835,3316]= 9/2768860
Therefore, the GCF of 3384/835,9207/3316 is 9/2768860.
To find the highest common factor of 3384,9207, we have to find the factors of both numbers and list the highest common factor.
The factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The HCF of 3384,9207 is 9.
Lets's calculate GCF of 3384,9207
| 3 | 3384, 9207 |
| 3 | 1128, 3069 |
| 376, 1023 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3384,9207 By Matching Biggest Common Factor Method
Now, list down the factors of 3384
:1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 3384,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 3384,9207 is 9.
Lets's calculate LCM of 835,3316
Given numbers has no common factors except 1. So, there LCM is their product i.e 2768860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2768860
Therefore, the GCF of Fractions 3384/835,9207/3316 is 9/2768860
Least Common Multiple of 835,3316 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 835,3316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,3316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,3316) x common factors =1 x 1 = 1
LCM(835,3316) = ( 835 × 3316 ) / 1
LCM(835,3316) = 2768860 / 1
LCM(835,3316) = 2768860
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FAQs on GCF of Fractions of 3384/835, 9207/3316
1. What is the HCF of 3384,9207?
The HCF of 3384,9207 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 3384/835, 9207/3316?
Answer: GCF of Numerators as per given numbers 3384/835, 9207/3316 is
GCF of Numerators i.e. for 3384,9207 is 9
LCM of denominators i.e. for 835,3316 is 2768860.
Thus, GCF of Fractions is 9/2768860.Finally, GCF of Fractions for 3384/835, 9207/3316 is 9/2768860.