GCF of 2334/221, 3440/8541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2334/221, 3440/8541 i.e 2/145197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2334/221, 3440/8541.
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 2334/221,3440/8541?
Given fractions are 2334/221,3440/8541
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 2334/221,3440/8541, numerators are 2334,3440
Denominators are 221,8541
The GCF of 2334,3440 is 2 .
LCM of 221,8541 is 145197.
The greatest common factor of 2334/221,3440/8541 = [GCF of 2334,3440]/[LCM of 221,8541]= 2/145197
Therefore, the GCF of 2334/221,3440/8541 is 2/145197.
To find the highest common factor of 2334,3440, we have to find the factors of both numbers and list the highest common factor.
The factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334
The factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The HCF of 2334,3440 is 2.
Lets's calculate GCF of 2334,3440
| 2 | 2334, 3440 |
| 1167, 1720 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2334,3440 By Matching Biggest Common Factor Method
Now, list down the factors of 2334
:1,2,3,6,389,778,1167,2334
Now, list down the factors of 3440
:1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 2334,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 2334,3440 is 2.
Lets's calculate LCM of 221,8541
| 13 | 221, 8541 |
| 17, 657 |
∴ So the LCM of the given numbers is 13 x 17 x 657 = 145197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145197
Therefore, the GCF of Fractions 2334/221,3440/8541 is 2/145197
Least Common Multiple of 221,8541 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 221,8541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,8541) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(221,8541) x common factors =13 x 1 = 13
LCM(221,8541) = ( 221 × 8541 ) / 13
LCM(221,8541) = 1887561 / 13
LCM(221,8541) = 145197
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FAQs on GCF of Fractions of 2334/221, 3440/8541
1. What is the HCF of 2334,3440?
The HCF of 2334,3440 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 2334/221, 3440/8541?
Answer: GCF of Numerators as per given numbers 2334/221, 3440/8541 is
GCF of Numerators i.e. for 2334,3440 is 2
LCM of denominators i.e. for 221,8541 is 145197.
Thus, GCF of Fractions is 2/145197.Finally, GCF of Fractions for 2334/221, 3440/8541 is 2/145197.