GCF of 5119/350, 6588/2990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5119/350, 6588/2990 i.e 1/104650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5119/350, 6588/2990.
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 5119/350,6588/2990?
Given fractions are 5119/350,6588/2990
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 5119/350,6588/2990, numerators are 5119,6588
Denominators are 350,2990
The GCF of 5119,6588 is 1 .
LCM of 350,2990 is 104650.
The greatest common factor of 5119/350,6588/2990 = [GCF of 5119,6588]/[LCM of 350,2990]= 1/104650
Therefore, the GCF of 5119/350,6588/2990 is 1/104650.
To find the highest common factor of 5119,6588, we have to find the factors of both numbers and list the highest common factor.
The factors of 5119 are 1, 5119
The factors of 6588 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 108, 122, 183, 244, 366, 549, 732, 1098, 1647, 2196, 3294, 6588
The HCF of 5119,6588 is 1.
Lets's calculate GCF of 5119,6588
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5119,6588 By Matching Biggest Common Factor Method
Now, list down the factors of 5119
:1,5119
Now, list down the factors of 6588
:1,2,3,4,6,9,12,18,27,36,54,61,108,122,183,244,366,549,732,1098,1647,2196,3294,6588
Greatest Common Factor
We found the factors 5119,6588 . The biggest common factor number is the GCF number.
So the greatest common factor 5119,6588 is 1.
Lets's calculate LCM of 350,2990
| 2 | 350, 2990 |
| 5 | 175, 1495 |
| 35, 299 |
∴ So the LCM of the given numbers is 2 x 5 x 35 x 299 = 104650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104650
Therefore, the GCF of Fractions 5119/350,6588/2990 is 1/104650
Least Common Multiple of 350,2990 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 350,2990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,2990) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(350,2990) x common factors =10 x 1 = 10
LCM(350,2990) = ( 350 × 2990 ) / 10
LCM(350,2990) = 1046500 / 10
LCM(350,2990) = 104650
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FAQs on GCF of Fractions of 5119/350, 6588/2990
1. What is the HCF of 5119,6588?
The HCF of 5119,6588 is 1
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 5119/350, 6588/2990?
Answer: GCF of Numerators as per given numbers 5119/350, 6588/2990 is
GCF of Numerators i.e. for 5119,6588 is 1
LCM of denominators i.e. for 350,2990 is 104650.
Thus, GCF of Fractions is 1/104650.Finally, GCF of Fractions for 5119/350, 6588/2990 is 1/104650.