GCF of 4089/878, 4730/8051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4089/878, 4730/8051 i.e 1/7068778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4089/878, 4730/8051.
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 4089/878,4730/8051?
Given fractions are 4089/878,4730/8051
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 4089/878,4730/8051, numerators are 4089,4730
Denominators are 878,8051
The GCF of 4089,4730 is 1 .
LCM of 878,8051 is 7068778.
The greatest common factor of 4089/878,4730/8051 = [GCF of 4089,4730]/[LCM of 878,8051]= 1/7068778
Therefore, the GCF of 4089/878,4730/8051 is 1/7068778.
To find the highest common factor of 4089,4730, we have to find the factors of both numbers and list the highest common factor.
The factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The HCF of 4089,4730 is 1.
Lets's calculate GCF of 4089,4730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4089,4730 By Matching Biggest Common Factor Method
Now, list down the factors of 4089
:1,3,29,47,87,141,1363,4089
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Greatest Common Factor
We found the factors 4089,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 4089,4730 is 1.
Lets's calculate LCM of 878,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 7068778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7068778
Therefore, the GCF of Fractions 4089/878,4730/8051 is 1/7068778
Least Common Multiple of 878,8051 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 878,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,8051) x common factors =1 x 1 = 1
LCM(878,8051) = ( 878 × 8051 ) / 1
LCM(878,8051) = 7068778 / 1
LCM(878,8051) = 7068778
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FAQs on GCF of Fractions of 4089/878, 4730/8051
1. What is the HCF of 4089,4730?
The HCF of 4089,4730 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 4089/878, 4730/8051?
Answer: GCF of Numerators as per given numbers 4089/878, 4730/8051 is
GCF of Numerators i.e. for 4089,4730 is 1
LCM of denominators i.e. for 878,8051 is 7068778.
Thus, GCF of Fractions is 1/7068778.Finally, GCF of Fractions for 4089/878, 4730/8051 is 1/7068778.