Use our free GCF of Fractions Calculator tool to compute the GCF of 553/937, 885/370, 888/228 i.e 1/39522660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/937, 885/370, 888/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/937,885/370,888/228
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 553/937,885/370,888/228, numerators are 553,885,888
Denominators are 937,370,228
The GCF of 553,885,888 is 1 .
LCM of 937,370,228 is 39522660.
The greatest common factor of 553/937,885/370,888/228 = [GCF of 553,885,888]/[LCM of 937,370,228]= 1/39522660
Therefore, the GCF of 553/937,885/370,888/228 is 1/39522660.
To find the highest common factor of 553,885,888, we have to find the factors of both numbers and list the highest common factor.
The factors of 553 are 1, 7, 79, 553
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The HCF of 553,885,888 is 1.
Lets's calculate GCF of 553,885,888
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 553
:1,7,79,553
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
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 553,885,888 . The biggest common factor number is the GCF number.
So the greatest common factor 553,885,888 is 1.
Lets's calculate LCM of 937,370,228
2 | 937, 370, 228 |
937, 185, 114 |
∴ So the LCM of the given numbers is 2 x 937 x 185 x 114 = 39522660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39522660
Therefore, the GCF of Fractions 553/937,885/370,888/228 is 1/39522660
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 937,370,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,370,228) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(937,370,228) x common factors =1 x 2 = 2
LCM(937,370,228) = ( 937 × 370 × 228 ) / 2
LCM(937,370,228) = 79045320 / 2
LCM(937,370,228) = 39522660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 553,885,888?
The HCF of 553,885,888 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 553/937, 885/370, 888/228?
Answer: GCF of Numerators as per given numbers 553/937, 885/370, 888/228 is
GCF of Numerators i.e. for 553,885,888 is 1
LCM of denominators i.e. for 937,370,228 is 39522660.
Thus, GCF of Fractions is 1/39522660.Finally, GCF of Fractions for 553/937, 885/370, 888/228 is 1/39522660.