GCF of 2236/376, 5850/3954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2236/376, 5850/3954 i.e 26/743352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2236/376, 5850/3954.
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 2236/376,5850/3954?
Given fractions are 2236/376,5850/3954
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 2236/376,5850/3954, numerators are 2236,5850
Denominators are 376,3954
The GCF of 2236,5850 is 26 .
LCM of 376,3954 is 743352.
The greatest common factor of 2236/376,5850/3954 = [GCF of 2236,5850]/[LCM of 376,3954]= 26/743352
Therefore, the GCF of 2236/376,5850/3954 is 26/743352.
To find the highest common factor of 2236,5850, we have to find the factors of both numbers and list the highest common factor.
The factors of 2236 are 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 2236
The factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850
The HCF of 2236,5850 is 26.
Lets's calculate GCF of 2236,5850
| 2 | 2236, 5850 |
| 13 | 1118, 2925 |
| 86, 225 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2236,5850 By Matching Biggest Common Factor Method
Now, list down the factors of 2236
:1,2,4,13,26,43,52,86,172,559,1118,2236
Now, list down the factors of 5850
:1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Greatest Common Factor
We found the factors 2236,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 2236,5850 is 26.
Lets's calculate LCM of 376,3954
| 2 | 376, 3954 |
| 188, 1977 |
∴ So the LCM of the given numbers is 2 x 188 x 1977 = 743352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/743352
Therefore, the GCF of Fractions 2236/376,5850/3954 is 26/743352
Least Common Multiple of 376,3954 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 376,3954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,3954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,3954) x common factors =2 x 1 = 2
LCM(376,3954) = ( 376 × 3954 ) / 2
LCM(376,3954) = 1486704 / 2
LCM(376,3954) = 743352
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FAQs on GCF of Fractions of 2236/376, 5850/3954
1. What is the HCF of 2236,5850?
The HCF of 2236,5850 is 26
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 2236/376, 5850/3954?
Answer: GCF of Numerators as per given numbers 2236/376, 5850/3954 is
GCF of Numerators i.e. for 2236,5850 is 26
LCM of denominators i.e. for 376,3954 is 743352.
Thus, GCF of Fractions is 26/743352.Finally, GCF of Fractions for 2236/376, 5850/3954 is 26/743352.