GCF of 6190/618, 8203/2078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6190/618, 8203/2078 i.e 1/642102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6190/618, 8203/2078.
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 6190/618,8203/2078?
Given fractions are 6190/618,8203/2078
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 6190/618,8203/2078, numerators are 6190,8203
Denominators are 618,2078
The GCF of 6190,8203 is 1 .
LCM of 618,2078 is 642102.
The greatest common factor of 6190/618,8203/2078 = [GCF of 6190,8203]/[LCM of 618,2078]= 1/642102
Therefore, the GCF of 6190/618,8203/2078 is 1/642102.
To find the highest common factor of 6190,8203, we have to find the factors of both numbers and list the highest common factor.
The factors of 6190 are 1, 2, 5, 10, 619, 1238, 3095, 6190
The factors of 8203 are 1, 13, 631, 8203
The HCF of 6190,8203 is 1.
Lets's calculate GCF of 6190,8203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6190,8203 By Matching Biggest Common Factor Method
Now, list down the factors of 6190
:1,2,5,10,619,1238,3095,6190
Now, list down the factors of 8203
:1,13,631,8203
Greatest Common Factor
We found the factors 6190,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 6190,8203 is 1.
Lets's calculate LCM of 618,2078
| 2 | 618, 2078 |
| 309, 1039 |
∴ So the LCM of the given numbers is 2 x 309 x 1039 = 642102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642102
Therefore, the GCF of Fractions 6190/618,8203/2078 is 1/642102
Least Common Multiple of 618,2078 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 618,2078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2078) x common factors =2 x 1 = 2
LCM(618,2078) = ( 618 × 2078 ) / 2
LCM(618,2078) = 1284204 / 2
LCM(618,2078) = 642102
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FAQs on GCF of Fractions of 6190/618, 8203/2078
1. What is the HCF of 6190,8203?
The HCF of 6190,8203 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 6190/618, 8203/2078?
Answer: GCF of Numerators as per given numbers 6190/618, 8203/2078 is
GCF of Numerators i.e. for 6190,8203 is 1
LCM of denominators i.e. for 618,2078 is 642102.
Thus, GCF of Fractions is 1/642102.Finally, GCF of Fractions for 6190/618, 8203/2078 is 1/642102.