Use our free GCF of Fractions Calculator tool to compute the GCF of 63/28, 114/23, 753/615 i.e 3/396060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/28, 114/23, 753/615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/28,114/23,753/615
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 63/28,114/23,753/615, numerators are 63,114,753
Denominators are 28,23,615
The GCF of 63,114,753 is 3 .
LCM of 28,23,615 is 396060.
The greatest common factor of 63/28,114/23,753/615 = [GCF of 63,114,753]/[LCM of 28,23,615]= 3/396060
Therefore, the GCF of 63/28,114/23,753/615 is 3/396060.
To find the highest common factor of 63,114,753, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The factors of 753 are 1, 3, 251, 753
The HCF of 63,114,753 is 3.
Lets's calculate GCF of 63,114,753
3 | 63, 114, 753 |
21, 38, 251 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Now, list down the factors of 753
:1,3,251,753
Greatest Common Factor
We found the factors 63,114,753 . The biggest common factor number is the GCF number.
So the greatest common factor 63,114,753 is 3.
Lets's calculate LCM of 28,23,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 396060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/396060
Therefore, the GCF of Fractions 63/28,114/23,753/615 is 3/396060
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 28,23,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,23,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,23,615) x common factors =1 x 1 = 1
LCM(28,23,615) = ( 28 × 23 × 615 ) / 1
LCM(28,23,615) = 396060 / 1
LCM(28,23,615) = 396060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,114,753?
The HCF of 63,114,753 is 3
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 63/28, 114/23, 753/615?
Answer: GCF of Numerators as per given numbers 63/28, 114/23, 753/615 is
GCF of Numerators i.e. for 63,114,753 is 3
LCM of denominators i.e. for 28,23,615 is 396060.
Thus, GCF of Fractions is 3/396060.Finally, GCF of Fractions for 63/28, 114/23, 753/615 is 3/396060.