GCF of 8852/709, 5794/8984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8852/709, 5794/8984 i.e 2/6369656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8852/709, 5794/8984.
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 8852/709,5794/8984?
Given fractions are 8852/709,5794/8984
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 8852/709,5794/8984, numerators are 8852,5794
Denominators are 709,8984
The GCF of 8852,5794 is 2 .
LCM of 709,8984 is 6369656.
The greatest common factor of 8852/709,5794/8984 = [GCF of 8852,5794]/[LCM of 709,8984]= 2/6369656
Therefore, the GCF of 8852/709,5794/8984 is 2/6369656.
To find the highest common factor of 8852,5794, we have to find the factors of both numbers and list the highest common factor.
The factors of 8852 are 1, 2, 4, 2213, 4426, 8852
The factors of 5794 are 1, 2, 2897, 5794
The HCF of 8852,5794 is 2.
Lets's calculate GCF of 8852,5794
| 2 | 8852, 5794 |
| 4426, 2897 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8852,5794 By Matching Biggest Common Factor Method
Now, list down the factors of 8852
:1,2,4,2213,4426,8852
Now, list down the factors of 5794
:1,2,2897,5794
Greatest Common Factor
We found the factors 8852,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,5794 is 2.
Lets's calculate LCM of 709,8984
Given numbers has no common factors except 1. So, there LCM is their product i.e 6369656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6369656
Therefore, the GCF of Fractions 8852/709,5794/8984 is 2/6369656
Least Common Multiple of 709,8984 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 709,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,8984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,8984) x common factors =1 x 1 = 1
LCM(709,8984) = ( 709 × 8984 ) / 1
LCM(709,8984) = 6369656 / 1
LCM(709,8984) = 6369656
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8852/709, 5794/8984
1. What is the HCF of 8852,5794?
The HCF of 8852,5794 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 8852/709, 5794/8984?
Answer: GCF of Numerators as per given numbers 8852/709, 5794/8984 is
GCF of Numerators i.e. for 8852,5794 is 2
LCM of denominators i.e. for 709,8984 is 6369656.
Thus, GCF of Fractions is 2/6369656.Finally, GCF of Fractions for 8852/709, 5794/8984 is 2/6369656.