GCF of 5386/565, 8274/2662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5386/565, 8274/2662 i.e 2/1504030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5386/565, 8274/2662.
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 5386/565,8274/2662?
Given fractions are 5386/565,8274/2662
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 5386/565,8274/2662, numerators are 5386,8274
Denominators are 565,2662
The GCF of 5386,8274 is 2 .
LCM of 565,2662 is 1504030.
The greatest common factor of 5386/565,8274/2662 = [GCF of 5386,8274]/[LCM of 565,2662]= 2/1504030
Therefore, the GCF of 5386/565,8274/2662 is 2/1504030.
To find the highest common factor of 5386,8274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5386 are 1, 2, 2693, 5386
The factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274
The HCF of 5386,8274 is 2.
Lets's calculate GCF of 5386,8274
| 2 | 5386, 8274 |
| 2693, 4137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5386,8274 By Matching Biggest Common Factor Method
Now, list down the factors of 5386
:1,2,2693,5386
Now, list down the factors of 8274
:1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
Greatest Common Factor
We found the factors 5386,8274 . The biggest common factor number is the GCF number.
So the greatest common factor 5386,8274 is 2.
Lets's calculate LCM of 565,2662
Given numbers has no common factors except 1. So, there LCM is their product i.e 1504030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1504030
Therefore, the GCF of Fractions 5386/565,8274/2662 is 2/1504030
Least Common Multiple of 565,2662 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 565,2662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,2662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,2662) x common factors =1 x 1 = 1
LCM(565,2662) = ( 565 × 2662 ) / 1
LCM(565,2662) = 1504030 / 1
LCM(565,2662) = 1504030
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5386/565, 8274/2662
1. What is the HCF of 5386,8274?
The HCF of 5386,8274 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 5386/565, 8274/2662?
Answer: GCF of Numerators as per given numbers 5386/565, 8274/2662 is
GCF of Numerators i.e. for 5386,8274 is 2
LCM of denominators i.e. for 565,2662 is 1504030.
Thus, GCF of Fractions is 2/1504030.Finally, GCF of Fractions for 5386/565, 8274/2662 is 2/1504030.