Use our free GCF of Fractions Calculator tool to compute the GCF of 630/207, 950/736 i.e 10/6624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/207, 950/736.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/207,950/736
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 630/207,950/736, numerators are 630,950
Denominators are 207,736
The GCF of 630,950 is 10 .
LCM of 207,736 is 6624.
The greatest common factor of 630/207,950/736 = [GCF of 630,950]/[LCM of 207,736]= 10/6624
Therefore, the GCF of 630/207,950/736 is 10/6624.
To find the highest common factor of 630,950, 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 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The HCF of 630,950 is 10.
Lets's calculate GCF of 630,950
2 | 630, 950 |
5 | 315, 475 |
63, 95 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 950
:1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 630,950 . The biggest common factor number is the GCF number.
So the greatest common factor 630,950 is 10.
Lets's calculate LCM of 207,736
23 | 207, 736 |
9, 32 |
∴ So the LCM of the given numbers is 23 x 9 x 32 = 6624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6624
Therefore, the GCF of Fractions 630/207,950/736 is 10/6624
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 207,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,736) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(207,736) x common factors =23 x 1 = 23
LCM(207,736) = ( 207 × 736 ) / 23
LCM(207,736) = 152352 / 23
LCM(207,736) = 6624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 630,950?
The HCF of 630,950 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 630/207, 950/736?
Answer: GCF of Numerators as per given numbers 630/207, 950/736 is
GCF of Numerators i.e. for 630,950 is 10
LCM of denominators i.e. for 207,736 is 6624.
Thus, GCF of Fractions is 10/6624.Finally, GCF of Fractions for 630/207, 950/736 is 10/6624.