Use our free GCF of Fractions Calculator tool to compute the GCF of 88/36, 782/90, 772/678 i.e 2/20340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/36, 782/90, 772/678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/36,782/90,772/678
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 88/36,782/90,772/678, numerators are 88,782,772
Denominators are 36,90,678
The GCF of 88,782,772 is 2 .
LCM of 36,90,678 is 20340.
The greatest common factor of 88/36,782/90,772/678 = [GCF of 88,782,772]/[LCM of 36,90,678]= 2/20340
Therefore, the GCF of 88/36,782/90,772/678 is 2/20340.
To find the highest common factor of 88,782,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 88,782,772 is 2.
Lets's calculate GCF of 88,782,772
2 | 88, 782, 772 |
44, 391, 386 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 88,782,772 . The biggest common factor number is the GCF number.
So the greatest common factor 88,782,772 is 2.
Lets's calculate LCM of 36,90,678
2 | 36, 90, 678 |
3 | 18, 45, 339 |
3 | 6, 15, 113 |
2, 5, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 5 x 113 = 20340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20340
Therefore, the GCF of Fractions 88/36,782/90,772/678 is 2/20340
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 36,90,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,90,678) = 6
common factors(in case of two or more numbers have common factors) = 18
GCF(36,90,678) x common factors =6 x 18 = 108
LCM(36,90,678) = ( 36 × 90 × 678 ) / 108
LCM(36,90,678) = 2196720 / 108
LCM(36,90,678) = 20340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,782,772?
The HCF of 88,782,772 is 2
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 88/36, 782/90, 772/678?
Answer: GCF of Numerators as per given numbers 88/36, 782/90, 772/678 is
GCF of Numerators i.e. for 88,782,772 is 2
LCM of denominators i.e. for 36,90,678 is 20340.
Thus, GCF of Fractions is 2/20340.Finally, GCF of Fractions for 88/36, 782/90, 772/678 is 2/20340.