Use our free GCF of Fractions Calculator tool to compute the GCF of 4210/227, 7520/7623 i.e 10/1730421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4210/227, 7520/7623.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4210/227,7520/7623
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 4210/227,7520/7623, numerators are 4210,7520
Denominators are 227,7623
The GCF of 4210,7520 is 10 .
LCM of 227,7623 is 1730421.
The greatest common factor of 4210/227,7520/7623 = [GCF of 4210,7520]/[LCM of 227,7623]= 10/1730421
Therefore, the GCF of 4210/227,7520/7623 is 10/1730421.
To find the highest common factor of 4210,7520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210
The factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520
The HCF of 4210,7520 is 10.
Lets's calculate GCF of 4210,7520
2 | 4210, 7520 |
5 | 2105, 3760 |
421, 752 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 4210
:1,2,5,10,421,842,2105,4210
Now, list down the factors of 7520
:1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520
Greatest Common Factor
We found the factors 4210,7520 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,7520 is 10.
Lets's calculate LCM of 227,7623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1730421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1730421
Therefore, the GCF of Fractions 4210/227,7520/7623 is 10/1730421
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 227,7623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,7623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,7623) x common factors =1 x 1 = 1
LCM(227,7623) = ( 227 × 7623 ) / 1
LCM(227,7623) = 1730421 / 1
LCM(227,7623) = 1730421
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4210,7520?
The HCF of 4210,7520 is 10
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 4210/227, 7520/7623?
Answer: GCF of Numerators as per given numbers 4210/227, 7520/7623 is
GCF of Numerators i.e. for 4210,7520 is 10
LCM of denominators i.e. for 227,7623 is 1730421.
Thus, GCF of Fractions is 10/1730421.Finally, GCF of Fractions for 4210/227, 7520/7623 is 10/1730421.