GCF of 8280/590, 7333/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8280/590, 7333/629 i.e 1/371110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8280/590, 7333/629.
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 8280/590,7333/629?
Given fractions are 8280/590,7333/629
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 8280/590,7333/629, numerators are 8280,7333
Denominators are 590,629
The GCF of 8280,7333 is 1 .
LCM of 590,629 is 371110.
The greatest common factor of 8280/590,7333/629 = [GCF of 8280,7333]/[LCM of 590,629]= 1/371110
Therefore, the GCF of 8280/590,7333/629 is 1/371110.
To find the highest common factor of 8280,7333, we have to find the factors of both numbers and list the highest common factor.
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The factors of 7333 are 1, 7333
The HCF of 8280,7333 is 1.
Lets's calculate GCF of 8280,7333
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8280,7333 By Matching Biggest Common Factor Method
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Now, list down the factors of 7333
:1,7333
Greatest Common Factor
We found the factors 8280,7333 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,7333 is 1.
Lets's calculate LCM of 590,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 371110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371110
Therefore, the GCF of Fractions 8280/590,7333/629 is 1/371110
Least Common Multiple of 590,629 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 590,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,629) x common factors =1 x 1 = 1
LCM(590,629) = ( 590 × 629 ) / 1
LCM(590,629) = 371110 / 1
LCM(590,629) = 371110
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FAQs on GCF of Fractions of 8280/590, 7333/629
1. What is the HCF of 8280,7333?
The HCF of 8280,7333 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 8280/590, 7333/629?
Answer: GCF of Numerators as per given numbers 8280/590, 7333/629 is
GCF of Numerators i.e. for 8280,7333 is 1
LCM of denominators i.e. for 590,629 is 371110.
Thus, GCF of Fractions is 1/371110.Finally, GCF of Fractions for 8280/590, 7333/629 is 1/371110.