GCF of 3205/926, 9016/6506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3205/926, 9016/6506 i.e 1/3012278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3205/926, 9016/6506.
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 3205/926,9016/6506?
Given fractions are 3205/926,9016/6506
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 3205/926,9016/6506, numerators are 3205,9016
Denominators are 926,6506
The GCF of 3205,9016 is 1 .
LCM of 926,6506 is 3012278.
The greatest common factor of 3205/926,9016/6506 = [GCF of 3205,9016]/[LCM of 926,6506]= 1/3012278
Therefore, the GCF of 3205/926,9016/6506 is 1/3012278.
To find the highest common factor of 3205,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 3205 are 1, 5, 641, 3205
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 3205,9016 is 1.
Lets's calculate GCF of 3205,9016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3205,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 3205
:1,5,641,3205
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 3205,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 3205,9016 is 1.
Lets's calculate LCM of 926,6506
| 2 | 926, 6506 |
| 463, 3253 |
∴ So the LCM of the given numbers is 2 x 463 x 3253 = 3012278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3012278
Therefore, the GCF of Fractions 3205/926,9016/6506 is 1/3012278
Least Common Multiple of 926,6506 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 926,6506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,6506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,6506) x common factors =2 x 1 = 2
LCM(926,6506) = ( 926 × 6506 ) / 2
LCM(926,6506) = 6024556 / 2
LCM(926,6506) = 3012278
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FAQs on GCF of Fractions of 3205/926, 9016/6506
1. What is the HCF of 3205,9016?
The HCF of 3205,9016 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 3205/926, 9016/6506?
Answer: GCF of Numerators as per given numbers 3205/926, 9016/6506 is
GCF of Numerators i.e. for 3205,9016 is 1
LCM of denominators i.e. for 926,6506 is 3012278.
Thus, GCF of Fractions is 1/3012278.Finally, GCF of Fractions for 3205/926, 9016/6506 is 1/3012278.