Use our free GCF of Fractions Calculator tool to compute the GCF of 630/583, 350/484 i.e 70/25652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/583, 350/484.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/583,350/484
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 630/583,350/484, numerators are 630,350
Denominators are 583,484
The GCF of 630,350 is 70 .
LCM of 583,484 is 25652.
The greatest common factor of 630/583,350/484 = [GCF of 630,350]/[LCM of 583,484]= 70/25652
Therefore, the GCF of 630/583,350/484 is 70/25652.
To find the highest common factor of 630,350, 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 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 630,350 is 70.
Lets's calculate GCF of 630,350
2 | 630, 350 |
5 | 315, 175 |
7 | 63, 35 |
9, 5 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
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 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 630,350 . The biggest common factor number is the GCF number.
So the greatest common factor 630,350 is 70.
Lets's calculate LCM of 583,484
11 | 583, 484 |
53, 44 |
∴ So the LCM of the given numbers is 11 x 53 x 44 = 25652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/25652
Therefore, the GCF of Fractions 630/583,350/484 is 70/25652
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 583,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,484) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(583,484) x common factors =11 x 1 = 11
LCM(583,484) = ( 583 × 484 ) / 11
LCM(583,484) = 282172 / 11
LCM(583,484) = 25652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 630,350?
The HCF of 630,350 is 70
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 630/583, 350/484?
Answer: GCF of Numerators as per given numbers 630/583, 350/484 is
GCF of Numerators i.e. for 630,350 is 70
LCM of denominators i.e. for 583,484 is 25652.
Thus, GCF of Fractions is 70/25652.Finally, GCF of Fractions for 630/583, 350/484 is 70/25652.