GCF of 2330/578, 3536/2136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2330/578, 3536/2136 i.e 2/617304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2330/578, 3536/2136.
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 2330/578,3536/2136?
Given fractions are 2330/578,3536/2136
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 2330/578,3536/2136, numerators are 2330,3536
Denominators are 578,2136
The GCF of 2330,3536 is 2 .
LCM of 578,2136 is 617304.
The greatest common factor of 2330/578,3536/2136 = [GCF of 2330,3536]/[LCM of 578,2136]= 2/617304
Therefore, the GCF of 2330/578,3536/2136 is 2/617304.
To find the highest common factor of 2330,3536, we have to find the factors of both numbers and list the highest common factor.
The factors of 2330 are 1, 2, 5, 10, 233, 466, 1165, 2330
The factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536
The HCF of 2330,3536 is 2.
Lets's calculate GCF of 2330,3536
| 2 | 2330, 3536 |
| 1165, 1768 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2330,3536 By Matching Biggest Common Factor Method
Now, list down the factors of 2330
:1,2,5,10,233,466,1165,2330
Now, list down the factors of 3536
:1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536
Greatest Common Factor
We found the factors 2330,3536 . The biggest common factor number is the GCF number.
So the greatest common factor 2330,3536 is 2.
Lets's calculate LCM of 578,2136
| 2 | 578, 2136 |
| 289, 1068 |
∴ So the LCM of the given numbers is 2 x 289 x 1068 = 617304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/617304
Therefore, the GCF of Fractions 2330/578,3536/2136 is 2/617304
Least Common Multiple of 578,2136 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 578,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,2136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,2136) x common factors =2 x 1 = 2
LCM(578,2136) = ( 578 × 2136 ) / 2
LCM(578,2136) = 1234608 / 2
LCM(578,2136) = 617304
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FAQs on GCF of Fractions of 2330/578, 3536/2136
1. What is the HCF of 2330,3536?
The HCF of 2330,3536 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 2330/578, 3536/2136?
Answer: GCF of Numerators as per given numbers 2330/578, 3536/2136 is
GCF of Numerators i.e. for 2330,3536 is 2
LCM of denominators i.e. for 578,2136 is 617304.
Thus, GCF of Fractions is 2/617304.Finally, GCF of Fractions for 2330/578, 3536/2136 is 2/617304.