GCF of 2302/586, 3648/8422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2302/586, 3648/8422 i.e 2/2467646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2302/586, 3648/8422.
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 2302/586,3648/8422?
Given fractions are 2302/586,3648/8422
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 2302/586,3648/8422, numerators are 2302,3648
Denominators are 586,8422
The GCF of 2302,3648 is 2 .
LCM of 586,8422 is 2467646.
The greatest common factor of 2302/586,3648/8422 = [GCF of 2302,3648]/[LCM of 586,8422]= 2/2467646
Therefore, the GCF of 2302/586,3648/8422 is 2/2467646.
To find the highest common factor of 2302,3648, we have to find the factors of both numbers and list the highest common factor.
The factors of 2302 are 1, 2, 1151, 2302
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The HCF of 2302,3648 is 2.
Lets's calculate GCF of 2302,3648
| 2 | 2302, 3648 |
| 1151, 1824 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2302,3648 By Matching Biggest Common Factor Method
Now, list down the factors of 2302
:1,2,1151,2302
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Greatest Common Factor
We found the factors 2302,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 2302,3648 is 2.
Lets's calculate LCM of 586,8422
| 2 | 586, 8422 |
| 293, 4211 |
∴ So the LCM of the given numbers is 2 x 293 x 4211 = 2467646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2467646
Therefore, the GCF of Fractions 2302/586,3648/8422 is 2/2467646
Least Common Multiple of 586,8422 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 586,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8422) x common factors =2 x 1 = 2
LCM(586,8422) = ( 586 × 8422 ) / 2
LCM(586,8422) = 4935292 / 2
LCM(586,8422) = 2467646
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FAQs on GCF of Fractions of 2302/586, 3648/8422
1. What is the HCF of 2302,3648?
The HCF of 2302,3648 is 2
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 2302/586, 3648/8422?
Answer: GCF of Numerators as per given numbers 2302/586, 3648/8422 is
GCF of Numerators i.e. for 2302,3648 is 2
LCM of denominators i.e. for 586,8422 is 2467646.
Thus, GCF of Fractions is 2/2467646.Finally, GCF of Fractions for 2302/586, 3648/8422 is 2/2467646.