Use our free GCF of Fractions Calculator tool to compute the GCF of 4/30, 88/22, 77/563, 785/524 i.e 1/48676980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/30, 88/22, 77/563, 785/524.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/30,88/22,77/563,785/524
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 4/30,88/22,77/563,785/524, numerators are 4,88,77,785
Denominators are 30,22,563,524
The GCF of 4,88,77,785 is 1 .
LCM of 30,22,563,524 is 48676980.
The greatest common factor of 4/30,88/22,77/563,785/524 = [GCF of 4,88,77,785]/[LCM of 30,22,563,524]= 1/48676980
Therefore, the GCF of 4/30,88/22,77/563,785/524 is 1/48676980.
To find the highest common factor of 4,88,77,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 77 are 1, 7, 11, 77
The factors of 785 are 1, 5, 157, 785
The HCF of 4,88,77,785 is 1.
Lets's calculate GCF of 4,88,77,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 4,88,77,785 . The biggest common factor number is the GCF number.
So the greatest common factor 4,88,77,785 is 1.
Lets's calculate LCM of 30,22,563,524
2 | 30, 22, 563, 524 |
15, 11, 563, 262 |
∴ So the LCM of the given numbers is 2 x 15 x 11 x 563 x 262 = 48676980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48676980
Therefore, the GCF of Fractions 4/30,88/22,77/563,785/524 is 1/48676980
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 30,22,563,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,22,563,524) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(30,22,563,524) x common factors =1 x 4 = 4
LCM(30,22,563,524) = ( 30 × 22 × 563 × 524 ) / 4
LCM(30,22,563,524) = 194707920 / 4
LCM(30,22,563,524) = 48676980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,88,77,785?
The HCF of 4,88,77,785 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 4/30, 88/22, 77/563, 785/524?
Answer: GCF of Numerators as per given numbers 4/30, 88/22, 77/563, 785/524 is
GCF of Numerators i.e. for 4,88,77,785 is 1
LCM of denominators i.e. for 30,22,563,524 is 48676980.
Thus, GCF of Fractions is 1/48676980.Finally, GCF of Fractions for 4/30, 88/22, 77/563, 785/524 is 1/48676980.