GCF of 2070/582, 7466/1967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2070/582, 7466/1967 i.e 2/1144794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2070/582, 7466/1967.
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 2070/582,7466/1967?
Given fractions are 2070/582,7466/1967
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 2070/582,7466/1967, numerators are 2070,7466
Denominators are 582,1967
The GCF of 2070,7466 is 2 .
LCM of 582,1967 is 1144794.
The greatest common factor of 2070/582,7466/1967 = [GCF of 2070,7466]/[LCM of 582,1967]= 2/1144794
Therefore, the GCF of 2070/582,7466/1967 is 2/1144794.
To find the highest common factor of 2070,7466, we have to find the factors of both numbers and list the highest common factor.
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The factors of 7466 are 1, 2, 3733, 7466
The HCF of 2070,7466 is 2.
Lets's calculate GCF of 2070,7466
| 2 | 2070, 7466 |
| 1035, 3733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2070,7466 By Matching Biggest Common Factor Method
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Now, list down the factors of 7466
:1,2,3733,7466
Greatest Common Factor
We found the factors 2070,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 2070,7466 is 2.
Lets's calculate LCM of 582,1967
Given numbers has no common factors except 1. So, there LCM is their product i.e 1144794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1144794
Therefore, the GCF of Fractions 2070/582,7466/1967 is 2/1144794
Least Common Multiple of 582,1967 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 582,1967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,1967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,1967) x common factors =1 x 1 = 1
LCM(582,1967) = ( 582 × 1967 ) / 1
LCM(582,1967) = 1144794 / 1
LCM(582,1967) = 1144794
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FAQs on GCF of Fractions of 2070/582, 7466/1967
1. What is the HCF of 2070,7466?
The HCF of 2070,7466 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 2070/582, 7466/1967?
Answer: GCF of Numerators as per given numbers 2070/582, 7466/1967 is
GCF of Numerators i.e. for 2070,7466 is 2
LCM of denominators i.e. for 582,1967 is 1144794.
Thus, GCF of Fractions is 2/1144794.Finally, GCF of Fractions for 2070/582, 7466/1967 is 2/1144794.