GCF of 622/76, 470/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 622/76, 470/125 i.e 2/9500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 622/76, 470/125.
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 622/76,470/125?
Given fractions are 622/76,470/125
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 622/76,470/125, numerators are 622,470
Denominators are 76,125
The GCF of 622,470 is 2 .
LCM of 76,125 is 9500.
The greatest common factor of 622/76,470/125 = [GCF of 622,470]/[LCM of 76,125]= 2/9500
Therefore, the GCF of 622/76,470/125 is 2/9500.
To find the highest common factor of 622,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 622 are 1, 2, 311, 622
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 622,470 is 2.
Lets's calculate GCF of 622,470
| 2 | 622, 470 |
| 311, 235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 622,470 By Matching Biggest Common Factor Method
Now, list down the factors of 622
:1,2,311,622
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 622,470 . The biggest common factor number is the GCF number.
So the greatest common factor 622,470 is 2.
Lets's calculate LCM of 76,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 9500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9500
Therefore, the GCF of Fractions 622/76,470/125 is 2/9500
Least Common Multiple of 76,125 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 76,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,125) x common factors =1 x 1 = 1
LCM(76,125) = ( 76 × 125 ) / 1
LCM(76,125) = 9500 / 1
LCM(76,125) = 9500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 622/76, 470/125
1. What is the HCF of 622,470?
The HCF of 622,470 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 622/76, 470/125?
Answer: GCF of Numerators as per given numbers 622/76, 470/125 is
GCF of Numerators i.e. for 622,470 is 2
LCM of denominators i.e. for 76,125 is 9500.
Thus, GCF of Fractions is 2/9500.Finally, GCF of Fractions for 622/76, 470/125 is 2/9500.