Use our free GCF of Fractions Calculator tool to compute the GCF of 630/149, 553/401 i.e 7/59749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/149, 553/401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/149,553/401
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 630/149,553/401, numerators are 630,553
Denominators are 149,401
The GCF of 630,553 is 7 .
LCM of 149,401 is 59749.
The greatest common factor of 630/149,553/401 = [GCF of 630,553]/[LCM of 149,401]= 7/59749
Therefore, the GCF of 630/149,553/401 is 7/59749.
To find the highest common factor of 630,553, we have to find the factors of both numbers and list the highest common factor.
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 553 are 1, 7, 79, 553
The HCF of 630,553 is 7.
Lets's calculate GCF of 630,553
7 | 630, 553 |
90, 79 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 553
:1,7,79,553
Greatest Common Factor
We found the factors 630,553 . The biggest common factor number is the GCF number.
So the greatest common factor 630,553 is 7.
Lets's calculate LCM of 149,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 59749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/59749
Therefore, the GCF of Fractions 630/149,553/401 is 7/59749
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 149,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,401) x common factors =1 x 1 = 1
LCM(149,401) = ( 149 × 401 ) / 1
LCM(149,401) = 59749 / 1
LCM(149,401) = 59749
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 630,553?
The HCF of 630,553 is 7
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 630/149, 553/401?
Answer: GCF of Numerators as per given numbers 630/149, 553/401 is
GCF of Numerators i.e. for 630,553 is 7
LCM of denominators i.e. for 149,401 is 59749.
Thus, GCF of Fractions is 7/59749.Finally, GCF of Fractions for 630/149, 553/401 is 7/59749.