GCF of 8217/465, 3384/7429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8217/465, 3384/7429 i.e 9/3454485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8217/465, 3384/7429.
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 8217/465,3384/7429?
Given fractions are 8217/465,3384/7429
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 8217/465,3384/7429, numerators are 8217,3384
Denominators are 465,7429
The GCF of 8217,3384 is 9 .
LCM of 465,7429 is 3454485.
The greatest common factor of 8217/465,3384/7429 = [GCF of 8217,3384]/[LCM of 465,7429]= 9/3454485
Therefore, the GCF of 8217/465,3384/7429 is 9/3454485.
To find the highest common factor of 8217,3384, we have to find the factors of both numbers and list the highest common factor.
The factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
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 HCF of 8217,3384 is 9.
Lets's calculate GCF of 8217,3384
| 3 | 8217, 3384 |
| 3 | 2739, 1128 |
| 913, 376 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8217,3384 By Matching Biggest Common Factor Method
Now, list down the factors of 8217
:1,3,9,11,33,83,99,249,747,913,2739,8217
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
Greatest Common Factor
We found the factors 8217,3384 . The biggest common factor number is the GCF number.
So the greatest common factor 8217,3384 is 9.
Lets's calculate LCM of 465,7429
Given numbers has no common factors except 1. So, there LCM is their product i.e 3454485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3454485
Therefore, the GCF of Fractions 8217/465,3384/7429 is 9/3454485
Least Common Multiple of 465,7429 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 465,7429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,7429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,7429) x common factors =1 x 1 = 1
LCM(465,7429) = ( 465 × 7429 ) / 1
LCM(465,7429) = 3454485 / 1
LCM(465,7429) = 3454485
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FAQs on GCF of Fractions of 8217/465, 3384/7429
1. What is the HCF of 8217,3384?
The HCF of 8217,3384 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 8217/465, 3384/7429?
Answer: GCF of Numerators as per given numbers 8217/465, 3384/7429 is
GCF of Numerators i.e. for 8217,3384 is 9
LCM of denominators i.e. for 465,7429 is 3454485.
Thus, GCF of Fractions is 9/3454485.Finally, GCF of Fractions for 8217/465, 3384/7429 is 9/3454485.