GCF of 630/723, 912/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 630/723, 912/964 i.e 6/2892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/723, 912/964.
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 630/723,912/964?
Given fractions are 630/723,912/964
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 630/723,912/964, numerators are 630,912
Denominators are 723,964
The GCF of 630,912 is 6 .
LCM of 723,964 is 2892.
The greatest common factor of 630/723,912/964 = [GCF of 630,912]/[LCM of 723,964]= 6/2892
Therefore, the GCF of 630/723,912/964 is 6/2892.
To find the highest common factor of 630,912, 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 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 630,912 is 6.
Lets's calculate GCF of 630,912
| 2 | 630, 912 |
| 3 | 315, 456 |
| 105, 152 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 630,912 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 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 630,912 . The biggest common factor number is the GCF number.
So the greatest common factor 630,912 is 6.
Lets's calculate LCM of 723,964
| 241 | 723, 964 |
| 3, 4 |
∴ So the LCM of the given numbers is 241 x 3 x 4 = 2892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2892
Therefore, the GCF of Fractions 630/723,912/964 is 6/2892
Least Common Multiple of 723,964 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 723,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,964) = 241
common factors(in case of two or more numbers have common factors) = 1
GCF(723,964) x common factors =241 x 1 = 241
LCM(723,964) = ( 723 × 964 ) / 241
LCM(723,964) = 696972 / 241
LCM(723,964) = 2892
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FAQs on GCF of Fractions of 630/723, 912/964
1. What is the HCF of 630,912?
The HCF of 630,912 is 6
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 630/723, 912/964?
Answer: GCF of Numerators as per given numbers 630/723, 912/964 is
GCF of Numerators i.e. for 630,912 is 6
LCM of denominators i.e. for 723,964 is 2892.
Thus, GCF of Fractions is 6/2892.Finally, GCF of Fractions for 630/723, 912/964 is 6/2892.