GCF of 4712/791, 2086/3253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4712/791, 2086/3253 i.e 2/2573123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4712/791, 2086/3253.
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 4712/791,2086/3253?
Given fractions are 4712/791,2086/3253
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 4712/791,2086/3253, numerators are 4712,2086
Denominators are 791,3253
The GCF of 4712,2086 is 2 .
LCM of 791,3253 is 2573123.
The greatest common factor of 4712/791,2086/3253 = [GCF of 4712,2086]/[LCM of 791,3253]= 2/2573123
Therefore, the GCF of 4712/791,2086/3253 is 2/2573123.
To find the highest common factor of 4712,2086, we have to find the factors of both numbers and list the highest common factor.
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086
The HCF of 4712,2086 is 2.
Lets's calculate GCF of 4712,2086
| 2 | 4712, 2086 |
| 2356, 1043 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4712,2086 By Matching Biggest Common Factor Method
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Now, list down the factors of 2086
:1,2,7,14,149,298,1043,2086
Greatest Common Factor
We found the factors 4712,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 4712,2086 is 2.
Lets's calculate LCM of 791,3253
Given numbers has no common factors except 1. So, there LCM is their product i.e 2573123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2573123
Therefore, the GCF of Fractions 4712/791,2086/3253 is 2/2573123
Least Common Multiple of 791,3253 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 791,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,3253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,3253) x common factors =1 x 1 = 1
LCM(791,3253) = ( 791 × 3253 ) / 1
LCM(791,3253) = 2573123 / 1
LCM(791,3253) = 2573123
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4712/791, 2086/3253
1. What is the HCF of 4712,2086?
The HCF of 4712,2086 is 2
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 4712/791, 2086/3253?
Answer: GCF of Numerators as per given numbers 4712/791, 2086/3253 is
GCF of Numerators i.e. for 4712,2086 is 2
LCM of denominators i.e. for 791,3253 is 2573123.
Thus, GCF of Fractions is 2/2573123.Finally, GCF of Fractions for 4712/791, 2086/3253 is 2/2573123.