GCF of 7478/864, 1244/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7478/864, 1244/822 i.e 2/118368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7478/864, 1244/822.
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 7478/864,1244/822?
Given fractions are 7478/864,1244/822
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 7478/864,1244/822, numerators are 7478,1244
Denominators are 864,822
The GCF of 7478,1244 is 2 .
LCM of 864,822 is 118368.
The greatest common factor of 7478/864,1244/822 = [GCF of 7478,1244]/[LCM of 864,822]= 2/118368
Therefore, the GCF of 7478/864,1244/822 is 2/118368.
To find the highest common factor of 7478,1244, we have to find the factors of both numbers and list the highest common factor.
The factors of 7478 are 1, 2, 3739, 7478
The factors of 1244 are 1, 2, 4, 311, 622, 1244
The HCF of 7478,1244 is 2.
Lets's calculate GCF of 7478,1244
| 2 | 7478, 1244 |
| 3739, 622 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7478,1244 By Matching Biggest Common Factor Method
Now, list down the factors of 7478
:1,2,3739,7478
Now, list down the factors of 1244
:1,2,4,311,622,1244
Greatest Common Factor
We found the factors 7478,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 7478,1244 is 2.
Lets's calculate LCM of 864,822
| 2 | 864, 822 |
| 3 | 432, 411 |
| 144, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 144 x 137 = 118368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118368
Therefore, the GCF of Fractions 7478/864,1244/822 is 2/118368
Least Common Multiple of 864,822 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 864,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,822) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(864,822) x common factors =6 x 1 = 6
LCM(864,822) = ( 864 × 822 ) / 6
LCM(864,822) = 710208 / 6
LCM(864,822) = 118368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7478/864, 1244/822
1. What is the HCF of 7478,1244?
The HCF of 7478,1244 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 7478/864, 1244/822?
Answer: GCF of Numerators as per given numbers 7478/864, 1244/822 is
GCF of Numerators i.e. for 7478,1244 is 2
LCM of denominators i.e. for 864,822 is 118368.
Thus, GCF of Fractions is 2/118368.Finally, GCF of Fractions for 7478/864, 1244/822 is 2/118368.