GCF of 8130/331, 6230/7183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8130/331, 6230/7183 i.e 10/2377573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8130/331, 6230/7183.
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 8130/331,6230/7183?
Given fractions are 8130/331,6230/7183
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 8130/331,6230/7183, numerators are 8130,6230
Denominators are 331,7183
The GCF of 8130,6230 is 10 .
LCM of 331,7183 is 2377573.
The greatest common factor of 8130/331,6230/7183 = [GCF of 8130,6230]/[LCM of 331,7183]= 10/2377573
Therefore, the GCF of 8130/331,6230/7183 is 10/2377573.
To find the highest common factor of 8130,6230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The HCF of 8130,6230 is 10.
Lets's calculate GCF of 8130,6230
| 2 | 8130, 6230 |
| 5 | 4065, 3115 |
| 813, 623 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8130,6230 By Matching Biggest Common Factor Method
Now, list down the factors of 8130
:1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 8130,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 8130,6230 is 10.
Lets's calculate LCM of 331,7183
Given numbers has no common factors except 1. So, there LCM is their product i.e 2377573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2377573
Therefore, the GCF of Fractions 8130/331,6230/7183 is 10/2377573
Least Common Multiple of 331,7183 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 331,7183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,7183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,7183) x common factors =1 x 1 = 1
LCM(331,7183) = ( 331 × 7183 ) / 1
LCM(331,7183) = 2377573 / 1
LCM(331,7183) = 2377573
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FAQs on GCF of Fractions of 8130/331, 6230/7183
1. What is the HCF of 8130,6230?
The HCF of 8130,6230 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 8130/331, 6230/7183?
Answer: GCF of Numerators as per given numbers 8130/331, 6230/7183 is
GCF of Numerators i.e. for 8130,6230 is 10
LCM of denominators i.e. for 331,7183 is 2377573.
Thus, GCF of Fractions is 10/2377573.Finally, GCF of Fractions for 8130/331, 6230/7183 is 10/2377573.