GCF of 2996/362, 5150/8938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2996/362, 5150/8938 i.e 2/1617778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2996/362, 5150/8938.
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 2996/362,5150/8938?
Given fractions are 2996/362,5150/8938
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 2996/362,5150/8938, numerators are 2996,5150
Denominators are 362,8938
The GCF of 2996,5150 is 2 .
LCM of 362,8938 is 1617778.
The greatest common factor of 2996/362,5150/8938 = [GCF of 2996,5150]/[LCM of 362,8938]= 2/1617778
Therefore, the GCF of 2996/362,5150/8938 is 2/1617778.
To find the highest common factor of 2996,5150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The HCF of 2996,5150 is 2.
Lets's calculate GCF of 2996,5150
| 2 | 2996, 5150 |
| 1498, 2575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2996,5150 By Matching Biggest Common Factor Method
Now, list down the factors of 2996
:1,2,4,7,14,28,107,214,428,749,1498,2996
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Greatest Common Factor
We found the factors 2996,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 2996,5150 is 2.
Lets's calculate LCM of 362,8938
| 2 | 362, 8938 |
| 181, 4469 |
∴ So the LCM of the given numbers is 2 x 181 x 4469 = 1617778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1617778
Therefore, the GCF of Fractions 2996/362,5150/8938 is 2/1617778
Least Common Multiple of 362,8938 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 362,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,8938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,8938) x common factors =2 x 1 = 2
LCM(362,8938) = ( 362 × 8938 ) / 2
LCM(362,8938) = 3235556 / 2
LCM(362,8938) = 1617778
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FAQs on GCF of Fractions of 2996/362, 5150/8938
1. What is the HCF of 2996,5150?
The HCF of 2996,5150 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 2996/362, 5150/8938?
Answer: GCF of Numerators as per given numbers 2996/362, 5150/8938 is
GCF of Numerators i.e. for 2996,5150 is 2
LCM of denominators i.e. for 362,8938 is 1617778.
Thus, GCF of Fractions is 2/1617778.Finally, GCF of Fractions for 2996/362, 5150/8938 is 2/1617778.