GCF of 48/627, 56/975, 322/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/627, 56/975, 322/789 i.e 2/53592825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/627, 56/975, 322/789.
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 48/627,56/975,322/789?
Given fractions are 48/627,56/975,322/789
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 48/627,56/975,322/789, numerators are 48,56,322
Denominators are 627,975,789
The GCF of 48,56,322 is 2 .
LCM of 627,975,789 is 53592825.
The greatest common factor of 48/627,56/975,322/789 = [GCF of 48,56,322]/[LCM of 627,975,789]= 2/53592825
Therefore, the GCF of 48/627,56/975,322/789 is 2/53592825.
To find the highest common factor of 48,56,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 48,56,322 is 2.
Lets's calculate GCF of 48,56,322
| 2 | 48, 56, 322 |
| 24, 28, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 48,56,322 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 48,56,322 . The biggest common factor number is the GCF number.
So the greatest common factor 48,56,322 is 2.
Lets's calculate LCM of 627,975,789
| 3 | 627, 975, 789 |
| 209, 325, 263 |
∴ So the LCM of the given numbers is 3 x 209 x 325 x 263 = 53592825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53592825
Therefore, the GCF of Fractions 48/627,56/975,322/789 is 2/53592825
Least Common Multiple of 627,975,789 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 627,975,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,975,789) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(627,975,789) x common factors =3 x 3 = 9
LCM(627,975,789) = ( 627 × 975 × 789 ) / 9
LCM(627,975,789) = 482335425 / 9
LCM(627,975,789) = 53592825
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 48/627, 56/975, 322/789
1. What is the HCF of 48,56,322?
The HCF of 48,56,322 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 48/627, 56/975, 322/789?
Answer: GCF of Numerators as per given numbers 48/627, 56/975, 322/789 is
GCF of Numerators i.e. for 48,56,322 is 2
LCM of denominators i.e. for 627,975,789 is 53592825.
Thus, GCF of Fractions is 2/53592825.Finally, GCF of Fractions for 48/627, 56/975, 322/789 is 2/53592825.