GCF of 11/823, 257/234, 912/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/823, 257/234, 912/789 i.e 1/50649066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/823, 257/234, 912/789.
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 11/823,257/234,912/789?
Given fractions are 11/823,257/234,912/789
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 11/823,257/234,912/789, numerators are 11,257,912
Denominators are 823,234,789
The GCF of 11,257,912 is 1 .
LCM of 823,234,789 is 50649066.
The greatest common factor of 11/823,257/234,912/789 = [GCF of 11,257,912]/[LCM of 823,234,789]= 1/50649066
Therefore, the GCF of 11/823,257/234,912/789 is 1/50649066.
To find the highest common factor of 11,257,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 257 are 1, 257
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 11,257,912 is 1.
Lets's calculate GCF of 11,257,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,257,912 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 257
:1,257
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 11,257,912 . The biggest common factor number is the GCF number.
So the greatest common factor 11,257,912 is 1.
Lets's calculate LCM of 823,234,789
| 3 | 823, 234, 789 |
| 823, 78, 263 |
∴ So the LCM of the given numbers is 3 x 823 x 78 x 263 = 50649066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50649066
Therefore, the GCF of Fractions 11/823,257/234,912/789 is 1/50649066
Least Common Multiple of 823,234,789 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 823,234,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,234,789) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(823,234,789) x common factors =1 x 3 = 3
LCM(823,234,789) = ( 823 × 234 × 789 ) / 3
LCM(823,234,789) = 151947198 / 3
LCM(823,234,789) = 50649066
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 11/823, 257/234, 912/789
1. What is the HCF of 11,257,912?
The HCF of 11,257,912 is 1
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 11/823, 257/234, 912/789?
Answer: GCF of Numerators as per given numbers 11/823, 257/234, 912/789 is
GCF of Numerators i.e. for 11,257,912 is 1
LCM of denominators i.e. for 823,234,789 is 50649066.
Thus, GCF of Fractions is 1/50649066.Finally, GCF of Fractions for 11/823, 257/234, 912/789 is 1/50649066.