GCF of 630/63, 210/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 630/63, 210/984 i.e 210/20664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/63, 210/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 630/63,210/984?
Given fractions are 630/63,210/984
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 630/63,210/984, numerators are 630,210
Denominators are 63,984
The GCF of 630,210 is 210 .
LCM of 63,984 is 20664.
The greatest common factor of 630/63,210/984 = [GCF of 630,210]/[LCM of 63,984]= 210/20664
Therefore, the GCF of 630/63,210/984 is 210/20664.
To find the highest common factor of 630,210, 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 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 630,210 is 210.
Lets's calculate GCF of 630,210
| 2 | 630, 210 |
| 3 | 315, 105 |
| 5 | 35, 105 |
| 7 | 7, 21 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 5 x 7 = 210
Greatest Common Factor of 630,210 By Matching Biggest Common Factor Method
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 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 630,210 . The biggest common factor number is the GCF number.
So the greatest common factor 630,210 is 210.
Lets's calculate LCM of 63,984
| 3 | 63, 984 |
| 21, 328 |
∴ So the LCM of the given numbers is 3 x 21 x 328 = 20664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 210/20664
Therefore, the GCF of Fractions 630/63,210/984 is 210/20664
Least Common Multiple of 63,984 with GCF Formula
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 63,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,984) x common factors =3 x 1 = 3
LCM(63,984) = ( 63 × 984 ) / 3
LCM(63,984) = 61992 / 3
LCM(63,984) = 20664
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FAQs on GCF of Fractions of 630/63, 210/984
1. What is the HCF of 630,210?
The HCF of 630,210 is 210
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 630/63, 210/984?
Answer: GCF of Numerators as per given numbers 630/63, 210/984 is
GCF of Numerators i.e. for 630,210 is 210
LCM of denominators i.e. for 63,984 is 20664.
Thus, GCF of Fractions is 210/20664.Finally, GCF of Fractions for 630/63, 210/984 is 210/20664.