GCF of 912/472, 728/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 912/472, 728/831 i.e 8/392232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/472, 728/831.
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 912/472,728/831?
Given fractions are 912/472,728/831
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 912/472,728/831, numerators are 912,728
Denominators are 472,831
The GCF of 912,728 is 8 .
LCM of 472,831 is 392232.
The greatest common factor of 912/472,728/831 = [GCF of 912,728]/[LCM of 472,831]= 8/392232
Therefore, the GCF of 912/472,728/831 is 8/392232.
To find the highest common factor of 912,728, we have to find the factors of both numbers and list the highest common factor.
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 factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 912,728 is 8.
Lets's calculate GCF of 912,728
| 2 | 912, 728 |
| 2 | 456, 364 |
| 2 | 228, 182 |
| 114, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 912,728 By Matching Biggest Common Factor Method
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
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 912,728 . The biggest common factor number is the GCF number.
So the greatest common factor 912,728 is 8.
Lets's calculate LCM of 472,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 392232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/392232
Therefore, the GCF of Fractions 912/472,728/831 is 8/392232
Least Common Multiple of 472,831 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 472,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,831) x common factors =1 x 1 = 1
LCM(472,831) = ( 472 × 831 ) / 1
LCM(472,831) = 392232 / 1
LCM(472,831) = 392232
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FAQs on GCF of Fractions of 912/472, 728/831
1. What is the HCF of 912,728?
The HCF of 912,728 is 8
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 912/472, 728/831?
Answer: GCF of Numerators as per given numbers 912/472, 728/831 is
GCF of Numerators i.e. for 912,728 is 8
LCM of denominators i.e. for 472,831 is 392232.
Thus, GCF of Fractions is 8/392232.Finally, GCF of Fractions for 912/472, 728/831 is 8/392232.