GCF of 2301/170, 2444/3411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2301/170, 2444/3411 i.e 13/579870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2301/170, 2444/3411.
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 2301/170,2444/3411?
Given fractions are 2301/170,2444/3411
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 2301/170,2444/3411, numerators are 2301,2444
Denominators are 170,3411
The GCF of 2301,2444 is 13 .
LCM of 170,3411 is 579870.
The greatest common factor of 2301/170,2444/3411 = [GCF of 2301,2444]/[LCM of 170,3411]= 13/579870
Therefore, the GCF of 2301/170,2444/3411 is 13/579870.
To find the highest common factor of 2301,2444, we have to find the factors of both numbers and list the highest common factor.
The factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301
The factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444
The HCF of 2301,2444 is 13.
Lets's calculate GCF of 2301,2444
| 13 | 2301, 2444 |
| 177, 188 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2301,2444 By Matching Biggest Common Factor Method
Now, list down the factors of 2301
:1,3,13,39,59,177,767,2301
Now, list down the factors of 2444
:1,2,4,13,26,47,52,94,188,611,1222,2444
Greatest Common Factor
We found the factors 2301,2444 . The biggest common factor number is the GCF number.
So the greatest common factor 2301,2444 is 13.
Lets's calculate LCM of 170,3411
Given numbers has no common factors except 1. So, there LCM is their product i.e 579870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/579870
Therefore, the GCF of Fractions 2301/170,2444/3411 is 13/579870
Least Common Multiple of 170,3411 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 170,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,3411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,3411) x common factors =1 x 1 = 1
LCM(170,3411) = ( 170 × 3411 ) / 1
LCM(170,3411) = 579870 / 1
LCM(170,3411) = 579870
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FAQs on GCF of Fractions of 2301/170, 2444/3411
1. What is the HCF of 2301,2444?
The HCF of 2301,2444 is 13
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 2301/170, 2444/3411?
Answer: GCF of Numerators as per given numbers 2301/170, 2444/3411 is
GCF of Numerators i.e. for 2301,2444 is 13
LCM of denominators i.e. for 170,3411 is 579870.
Thus, GCF of Fractions is 13/579870.Finally, GCF of Fractions for 2301/170, 2444/3411 is 13/579870.