GCF of 949/360, 5850/3302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/360, 5850/3302 i.e 13/594360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/360, 5850/3302.
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 949/360,5850/3302?
Given fractions are 949/360,5850/3302
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 949/360,5850/3302, numerators are 949,5850
Denominators are 360,3302
The GCF of 949,5850 is 13 .
LCM of 360,3302 is 594360.
The greatest common factor of 949/360,5850/3302 = [GCF of 949,5850]/[LCM of 360,3302]= 13/594360
Therefore, the GCF of 949/360,5850/3302 is 13/594360.
To find the highest common factor of 949,5850, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
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 949,5850 is 13.
Lets's calculate GCF of 949,5850
| 13 | 949, 5850 |
| 73, 450 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 949,5850 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
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 949,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 949,5850 is 13.
Lets's calculate LCM of 360,3302
| 2 | 360, 3302 |
| 180, 1651 |
∴ So the LCM of the given numbers is 2 x 180 x 1651 = 594360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/594360
Therefore, the GCF of Fractions 949/360,5850/3302 is 13/594360
Least Common Multiple of 360,3302 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 360,3302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,3302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,3302) x common factors =2 x 1 = 2
LCM(360,3302) = ( 360 × 3302 ) / 2
LCM(360,3302) = 1188720 / 2
LCM(360,3302) = 594360
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FAQs on GCF of Fractions of 949/360, 5850/3302
1. What is the HCF of 949,5850?
The HCF of 949,5850 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 949/360, 5850/3302?
Answer: GCF of Numerators as per given numbers 949/360, 5850/3302 is
GCF of Numerators i.e. for 949,5850 is 13
LCM of denominators i.e. for 360,3302 is 594360.
Thus, GCF of Fractions is 13/594360.Finally, GCF of Fractions for 949/360, 5850/3302 is 13/594360.