GCF of 6029/950, 3006/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6029/950, 3006/916 i.e 1/435100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6029/950, 3006/916.
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 6029/950,3006/916?
Given fractions are 6029/950,3006/916
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 6029/950,3006/916, numerators are 6029,3006
Denominators are 950,916
The GCF of 6029,3006 is 1 .
LCM of 950,916 is 435100.
The greatest common factor of 6029/950,3006/916 = [GCF of 6029,3006]/[LCM of 950,916]= 1/435100
Therefore, the GCF of 6029/950,3006/916 is 1/435100.
To find the highest common factor of 6029,3006, we have to find the factors of both numbers and list the highest common factor.
The factors of 6029 are 1, 6029
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006
The HCF of 6029,3006 is 1.
Lets's calculate GCF of 6029,3006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6029,3006 By Matching Biggest Common Factor Method
Now, list down the factors of 6029
:1,6029
Now, list down the factors of 3006
:1,2,3,6,9,18,167,334,501,1002,1503,3006
Greatest Common Factor
We found the factors 6029,3006 . The biggest common factor number is the GCF number.
So the greatest common factor 6029,3006 is 1.
Lets's calculate LCM of 950,916
| 2 | 950, 916 |
| 475, 458 |
∴ So the LCM of the given numbers is 2 x 475 x 458 = 435100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435100
Therefore, the GCF of Fractions 6029/950,3006/916 is 1/435100
Least Common Multiple of 950,916 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 950,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,916) x common factors =2 x 1 = 2
LCM(950,916) = ( 950 × 916 ) / 2
LCM(950,916) = 870200 / 2
LCM(950,916) = 435100
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FAQs on GCF of Fractions of 6029/950, 3006/916
1. What is the HCF of 6029,3006?
The HCF of 6029,3006 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 6029/950, 3006/916?
Answer: GCF of Numerators as per given numbers 6029/950, 3006/916 is
GCF of Numerators i.e. for 6029,3006 is 1
LCM of denominators i.e. for 950,916 is 435100.
Thus, GCF of Fractions is 1/435100.Finally, GCF of Fractions for 6029/950, 3006/916 is 1/435100.