Use our free GCF of Fractions Calculator tool to compute the GCF of 628/705, 882/403 i.e 2/284115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/705, 882/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/705,882/403
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 628/705,882/403, numerators are 628,882
Denominators are 705,403
The GCF of 628,882 is 2 .
LCM of 705,403 is 284115.
The greatest common factor of 628/705,882/403 = [GCF of 628,882]/[LCM of 705,403]= 2/284115
Therefore, the GCF of 628/705,882/403 is 2/284115.
To find the highest common factor of 628,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 628,882 is 2.
Lets's calculate GCF of 628,882
2 | 628, 882 |
314, 441 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 628,882 . The biggest common factor number is the GCF number.
So the greatest common factor 628,882 is 2.
Lets's calculate LCM of 705,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 284115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284115
Therefore, the GCF of Fractions 628/705,882/403 is 2/284115
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 705,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,403) x common factors =1 x 1 = 1
LCM(705,403) = ( 705 × 403 ) / 1
LCM(705,403) = 284115 / 1
LCM(705,403) = 284115
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 628,882?
The HCF of 628,882 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 628/705, 882/403?
Answer: GCF of Numerators as per given numbers 628/705, 882/403 is
GCF of Numerators i.e. for 628,882 is 2
LCM of denominators i.e. for 705,403 is 284115.
Thus, GCF of Fractions is 2/284115.Finally, GCF of Fractions for 628/705, 882/403 is 2/284115.