GCF of 6068/104, 4863/7670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6068/104, 4863/7670 i.e 1/30680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6068/104, 4863/7670.
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 6068/104,4863/7670?
Given fractions are 6068/104,4863/7670
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 6068/104,4863/7670, numerators are 6068,4863
Denominators are 104,7670
The GCF of 6068,4863 is 1 .
LCM of 104,7670 is 30680.
The greatest common factor of 6068/104,4863/7670 = [GCF of 6068,4863]/[LCM of 104,7670]= 1/30680
Therefore, the GCF of 6068/104,4863/7670 is 1/30680.
To find the highest common factor of 6068,4863, we have to find the factors of both numbers and list the highest common factor.
The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
The factors of 4863 are 1, 3, 1621, 4863
The HCF of 6068,4863 is 1.
Lets's calculate GCF of 6068,4863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6068,4863 By Matching Biggest Common Factor Method
Now, list down the factors of 6068
:1,2,4,37,41,74,82,148,164,1517,3034,6068
Now, list down the factors of 4863
:1,3,1621,4863
Greatest Common Factor
We found the factors 6068,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 6068,4863 is 1.
Lets's calculate LCM of 104,7670
| 2 | 104, 7670 |
| 13 | 52, 3835 |
| 4, 295 |
∴ So the LCM of the given numbers is 2 x 13 x 4 x 295 = 30680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30680
Therefore, the GCF of Fractions 6068/104,4863/7670 is 1/30680
Least Common Multiple of 104,7670 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 104,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,7670) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(104,7670) x common factors =26 x 1 = 26
LCM(104,7670) = ( 104 × 7670 ) / 26
LCM(104,7670) = 797680 / 26
LCM(104,7670) = 30680
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FAQs on GCF of Fractions of 6068/104, 4863/7670
1. What is the HCF of 6068,4863?
The HCF of 6068,4863 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 6068/104, 4863/7670?
Answer: GCF of Numerators as per given numbers 6068/104, 4863/7670 is
GCF of Numerators i.e. for 6068,4863 is 1
LCM of denominators i.e. for 104,7670 is 30680.
Thus, GCF of Fractions is 1/30680.Finally, GCF of Fractions for 6068/104, 4863/7670 is 1/30680.