GCF of 5570/220, 6074/4782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5570/220, 6074/4782 i.e 2/526020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5570/220, 6074/4782.
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 5570/220,6074/4782?
Given fractions are 5570/220,6074/4782
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 5570/220,6074/4782, numerators are 5570,6074
Denominators are 220,4782
The GCF of 5570,6074 is 2 .
LCM of 220,4782 is 526020.
The greatest common factor of 5570/220,6074/4782 = [GCF of 5570,6074]/[LCM of 220,4782]= 2/526020
Therefore, the GCF of 5570/220,6074/4782 is 2/526020.
To find the highest common factor of 5570,6074, we have to find the factors of both numbers and list the highest common factor.
The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570
The factors of 6074 are 1, 2, 3037, 6074
The HCF of 5570,6074 is 2.
Lets's calculate GCF of 5570,6074
| 2 | 5570, 6074 |
| 2785, 3037 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5570,6074 By Matching Biggest Common Factor Method
Now, list down the factors of 5570
:1,2,5,10,557,1114,2785,5570
Now, list down the factors of 6074
:1,2,3037,6074
Greatest Common Factor
We found the factors 5570,6074 . The biggest common factor number is the GCF number.
So the greatest common factor 5570,6074 is 2.
Lets's calculate LCM of 220,4782
| 2 | 220, 4782 |
| 110, 2391 |
∴ So the LCM of the given numbers is 2 x 110 x 2391 = 526020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/526020
Therefore, the GCF of Fractions 5570/220,6074/4782 is 2/526020
Least Common Multiple of 220,4782 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 220,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,4782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(220,4782) x common factors =2 x 1 = 2
LCM(220,4782) = ( 220 × 4782 ) / 2
LCM(220,4782) = 1052040 / 2
LCM(220,4782) = 526020
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5570/220, 6074/4782
1. What is the HCF of 5570,6074?
The HCF of 5570,6074 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 5570/220, 6074/4782?
Answer: GCF of Numerators as per given numbers 5570/220, 6074/4782 is
GCF of Numerators i.e. for 5570,6074 is 2
LCM of denominators i.e. for 220,4782 is 526020.
Thus, GCF of Fractions is 2/526020.Finally, GCF of Fractions for 5570/220, 6074/4782 is 2/526020.