GCF of 888/777, 879/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 888/777, 879/576 i.e 3/149184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/777, 879/576.
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 888/777,879/576?
Given fractions are 888/777,879/576
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 888/777,879/576, numerators are 888,879
Denominators are 777,576
The GCF of 888,879 is 3 .
LCM of 777,576 is 149184.
The greatest common factor of 888/777,879/576 = [GCF of 888,879]/[LCM of 777,576]= 3/149184
Therefore, the GCF of 888/777,879/576 is 3/149184.
To find the highest common factor of 888,879, we have to find the factors of both numbers and list the highest common factor.
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The factors of 879 are 1, 3, 293, 879
The HCF of 888,879 is 3.
Lets's calculate GCF of 888,879
| 3 | 888, 879 |
| 296, 293 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 888,879 By Matching Biggest Common Factor Method
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Now, list down the factors of 879
:1,3,293,879
Greatest Common Factor
We found the factors 888,879 . The biggest common factor number is the GCF number.
So the greatest common factor 888,879 is 3.
Lets's calculate LCM of 777,576
| 3 | 777, 576 |
| 259, 192 |
∴ So the LCM of the given numbers is 3 x 259 x 192 = 149184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149184
Therefore, the GCF of Fractions 888/777,879/576 is 3/149184
Least Common Multiple of 777,576 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 777,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,576) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,576) x common factors =3 x 1 = 3
LCM(777,576) = ( 777 × 576 ) / 3
LCM(777,576) = 447552 / 3
LCM(777,576) = 149184
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FAQs on GCF of Fractions of 888/777, 879/576
1. What is the HCF of 888,879?
The HCF of 888,879 is 3
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 888/777, 879/576?
Answer: GCF of Numerators as per given numbers 888/777, 879/576 is
GCF of Numerators i.e. for 888,879 is 3
LCM of denominators i.e. for 777,576 is 149184.
Thus, GCF of Fractions is 3/149184.Finally, GCF of Fractions for 888/777, 879/576 is 3/149184.