GCF of 4769/683, 1863/6022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4769/683, 1863/6022 i.e 1/4113026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4769/683, 1863/6022.
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 4769/683,1863/6022?
Given fractions are 4769/683,1863/6022
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 4769/683,1863/6022, numerators are 4769,1863
Denominators are 683,6022
The GCF of 4769,1863 is 1 .
LCM of 683,6022 is 4113026.
The greatest common factor of 4769/683,1863/6022 = [GCF of 4769,1863]/[LCM of 683,6022]= 1/4113026
Therefore, the GCF of 4769/683,1863/6022 is 1/4113026.
To find the highest common factor of 4769,1863, we have to find the factors of both numbers and list the highest common factor.
The factors of 4769 are 1, 19, 251, 4769
The factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863
The HCF of 4769,1863 is 1.
Lets's calculate GCF of 4769,1863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4769,1863 By Matching Biggest Common Factor Method
Now, list down the factors of 4769
:1,19,251,4769
Now, list down the factors of 1863
:1,3,9,23,27,69,81,207,621,1863
Greatest Common Factor
We found the factors 4769,1863 . The biggest common factor number is the GCF number.
So the greatest common factor 4769,1863 is 1.
Lets's calculate LCM of 683,6022
Given numbers has no common factors except 1. So, there LCM is their product i.e 4113026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4113026
Therefore, the GCF of Fractions 4769/683,1863/6022 is 1/4113026
Least Common Multiple of 683,6022 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 683,6022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,6022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,6022) x common factors =1 x 1 = 1
LCM(683,6022) = ( 683 × 6022 ) / 1
LCM(683,6022) = 4113026 / 1
LCM(683,6022) = 4113026
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FAQs on GCF of Fractions of 4769/683, 1863/6022
1. What is the HCF of 4769,1863?
The HCF of 4769,1863 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 4769/683, 1863/6022?
Answer: GCF of Numerators as per given numbers 4769/683, 1863/6022 is
GCF of Numerators i.e. for 4769,1863 is 1
LCM of denominators i.e. for 683,6022 is 4113026.
Thus, GCF of Fractions is 1/4113026.Finally, GCF of Fractions for 4769/683, 1863/6022 is 1/4113026.