GCF of 6010/540, 6030/926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6010/540, 6030/926 i.e 10/250020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6010/540, 6030/926.
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 6010/540,6030/926?
Given fractions are 6010/540,6030/926
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 6010/540,6030/926, numerators are 6010,6030
Denominators are 540,926
The GCF of 6010,6030 is 10 .
LCM of 540,926 is 250020.
The greatest common factor of 6010/540,6030/926 = [GCF of 6010,6030]/[LCM of 540,926]= 10/250020
Therefore, the GCF of 6010/540,6030/926 is 10/250020.
To find the highest common factor of 6010,6030, we have to find the factors of both numbers and list the highest common factor.
The factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The HCF of 6010,6030 is 10.
Lets's calculate GCF of 6010,6030
| 2 | 6010, 6030 |
| 5 | 3005, 3015 |
| 601, 603 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6010,6030 By Matching Biggest Common Factor Method
Now, list down the factors of 6010
:1,2,5,10,601,1202,3005,6010
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Greatest Common Factor
We found the factors 6010,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 6010,6030 is 10.
Lets's calculate LCM of 540,926
| 2 | 540, 926 |
| 270, 463 |
∴ So the LCM of the given numbers is 2 x 270 x 463 = 250020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/250020
Therefore, the GCF of Fractions 6010/540,6030/926 is 10/250020
Least Common Multiple of 540,926 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 540,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,926) x common factors =2 x 1 = 2
LCM(540,926) = ( 540 × 926 ) / 2
LCM(540,926) = 500040 / 2
LCM(540,926) = 250020
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FAQs on GCF of Fractions of 6010/540, 6030/926
1. What is the HCF of 6010,6030?
The HCF of 6010,6030 is 10
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 6010/540, 6030/926?
Answer: GCF of Numerators as per given numbers 6010/540, 6030/926 is
GCF of Numerators i.e. for 6010,6030 is 10
LCM of denominators i.e. for 540,926 is 250020.
Thus, GCF of Fractions is 10/250020.Finally, GCF of Fractions for 6010/540, 6030/926 is 10/250020.