GCF of 4714/717, 8542/4468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4714/717, 8542/4468 i.e 2/3203556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4714/717, 8542/4468.
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 4714/717,8542/4468?
Given fractions are 4714/717,8542/4468
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 4714/717,8542/4468, numerators are 4714,8542
Denominators are 717,4468
The GCF of 4714,8542 is 2 .
LCM of 717,4468 is 3203556.
The greatest common factor of 4714/717,8542/4468 = [GCF of 4714,8542]/[LCM of 717,4468]= 2/3203556
Therefore, the GCF of 4714/717,8542/4468 is 2/3203556.
To find the highest common factor of 4714,8542, we have to find the factors of both numbers and list the highest common factor.
The factors of 4714 are 1, 2, 2357, 4714
The factors of 8542 are 1, 2, 4271, 8542
The HCF of 4714,8542 is 2.
Lets's calculate GCF of 4714,8542
| 2 | 4714, 8542 |
| 2357, 4271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4714,8542 By Matching Biggest Common Factor Method
Now, list down the factors of 4714
:1,2,2357,4714
Now, list down the factors of 8542
:1,2,4271,8542
Greatest Common Factor
We found the factors 4714,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 4714,8542 is 2.
Lets's calculate LCM of 717,4468
Given numbers has no common factors except 1. So, there LCM is their product i.e 3203556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3203556
Therefore, the GCF of Fractions 4714/717,8542/4468 is 2/3203556
Least Common Multiple of 717,4468 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 717,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,4468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,4468) x common factors =1 x 1 = 1
LCM(717,4468) = ( 717 × 4468 ) / 1
LCM(717,4468) = 3203556 / 1
LCM(717,4468) = 3203556
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4714/717, 8542/4468
1. What is the HCF of 4714,8542?
The HCF of 4714,8542 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 4714/717, 8542/4468?
Answer: GCF of Numerators as per given numbers 4714/717, 8542/4468 is
GCF of Numerators i.e. for 4714,8542 is 2
LCM of denominators i.e. for 717,4468 is 3203556.
Thus, GCF of Fractions is 2/3203556.Finally, GCF of Fractions for 4714/717, 8542/4468 is 2/3203556.