GCF of 4679/697, 7210/8051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4679/697, 7210/8051 i.e 1/5611547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4679/697, 7210/8051.
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 4679/697,7210/8051?
Given fractions are 4679/697,7210/8051
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 4679/697,7210/8051, numerators are 4679,7210
Denominators are 697,8051
The GCF of 4679,7210 is 1 .
LCM of 697,8051 is 5611547.
The greatest common factor of 4679/697,7210/8051 = [GCF of 4679,7210]/[LCM of 697,8051]= 1/5611547
Therefore, the GCF of 4679/697,7210/8051 is 1/5611547.
To find the highest common factor of 4679,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 4679 are 1, 4679
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 4679,7210 is 1.
Lets's calculate GCF of 4679,7210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4679,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 4679
:1,4679
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 4679,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 4679,7210 is 1.
Lets's calculate LCM of 697,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 5611547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5611547
Therefore, the GCF of Fractions 4679/697,7210/8051 is 1/5611547
Least Common Multiple of 697,8051 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 697,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,8051) x common factors =1 x 1 = 1
LCM(697,8051) = ( 697 × 8051 ) / 1
LCM(697,8051) = 5611547 / 1
LCM(697,8051) = 5611547
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4679/697, 7210/8051
1. What is the HCF of 4679,7210?
The HCF of 4679,7210 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 4679/697, 7210/8051?
Answer: GCF of Numerators as per given numbers 4679/697, 7210/8051 is
GCF of Numerators i.e. for 4679,7210 is 1
LCM of denominators i.e. for 697,8051 is 5611547.
Thus, GCF of Fractions is 1/5611547.Finally, GCF of Fractions for 4679/697, 7210/8051 is 1/5611547.