GCF of 5950/381, 2602/2799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5950/381, 2602/2799 i.e 2/355473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/381, 2602/2799.
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 5950/381,2602/2799?
Given fractions are 5950/381,2602/2799
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 5950/381,2602/2799, numerators are 5950,2602
Denominators are 381,2799
The GCF of 5950,2602 is 2 .
LCM of 381,2799 is 355473.
The greatest common factor of 5950/381,2602/2799 = [GCF of 5950,2602]/[LCM of 381,2799]= 2/355473
Therefore, the GCF of 5950/381,2602/2799 is 2/355473.
To find the highest common factor of 5950,2602, we have to find the factors of both numbers and list the highest common factor.
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The factors of 2602 are 1, 2, 1301, 2602
The HCF of 5950,2602 is 2.
Lets's calculate GCF of 5950,2602
| 2 | 5950, 2602 |
| 2975, 1301 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5950,2602 By Matching Biggest Common Factor Method
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Now, list down the factors of 2602
:1,2,1301,2602
Greatest Common Factor
We found the factors 5950,2602 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,2602 is 2.
Lets's calculate LCM of 381,2799
| 3 | 381, 2799 |
| 127, 933 |
∴ So the LCM of the given numbers is 3 x 127 x 933 = 355473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355473
Therefore, the GCF of Fractions 5950/381,2602/2799 is 2/355473
Least Common Multiple of 381,2799 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 381,2799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,2799) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,2799) x common factors =3 x 1 = 3
LCM(381,2799) = ( 381 × 2799 ) / 3
LCM(381,2799) = 1066419 / 3
LCM(381,2799) = 355473
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FAQs on GCF of Fractions of 5950/381, 2602/2799
1. What is the HCF of 5950,2602?
The HCF of 5950,2602 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 5950/381, 2602/2799?
Answer: GCF of Numerators as per given numbers 5950/381, 2602/2799 is
GCF of Numerators i.e. for 5950,2602 is 2
LCM of denominators i.e. for 381,2799 is 355473.
Thus, GCF of Fractions is 2/355473.Finally, GCF of Fractions for 5950/381, 2602/2799 is 2/355473.