GCF of 416/844, 888/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 416/844, 888/237 i.e 8/200028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/844, 888/237.
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 416/844,888/237?
Given fractions are 416/844,888/237
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 416/844,888/237, numerators are 416,888
Denominators are 844,237
The GCF of 416,888 is 8 .
LCM of 844,237 is 200028.
The greatest common factor of 416/844,888/237 = [GCF of 416,888]/[LCM of 844,237]= 8/200028
Therefore, the GCF of 416/844,888/237 is 8/200028.
To find the highest common factor of 416,888, we have to find the factors of both numbers and list the highest common factor.
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The HCF of 416,888 is 8.
Lets's calculate GCF of 416,888
| 2 | 416, 888 |
| 2 | 208, 444 |
| 2 | 104, 222 |
| 52, 111 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 416,888 By Matching Biggest Common Factor Method
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 416,888 . The biggest common factor number is the GCF number.
So the greatest common factor 416,888 is 8.
Lets's calculate LCM of 844,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 200028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/200028
Therefore, the GCF of Fractions 416/844,888/237 is 8/200028
Least Common Multiple of 844,237 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 844,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,237) x common factors =1 x 1 = 1
LCM(844,237) = ( 844 × 237 ) / 1
LCM(844,237) = 200028 / 1
LCM(844,237) = 200028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 416/844, 888/237
1. What is the HCF of 416,888?
The HCF of 416,888 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 416/844, 888/237?
Answer: GCF of Numerators as per given numbers 416/844, 888/237 is
GCF of Numerators i.e. for 416,888 is 8
LCM of denominators i.e. for 844,237 is 200028.
Thus, GCF of Fractions is 8/200028.Finally, GCF of Fractions for 416/844, 888/237 is 8/200028.