Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/15,56/75,95/53,59/630
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 88,56,95,59
Greatest Common Factor of Numerators i.e. GCF of 88,56,95,59 is 1 .
LCM of Denominators means LCM of 15,75,53,630 as per the given fractions.
LCM of 15,75,53,630 is 166950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,56,95,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Greatest Common Factor
We found the factors 88,56,95,59 . The biggest common factor number is the GCF number.
So the greatest common factor 88,56,95,59 is 1.
Lets's calculate LCM of 15,75,53,630
3 | 15, 75, 53, 630 |
5 | 5, 25, 53, 210 |
1, 5, 53, 42 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 53 x 42 = 166950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166950
Therefore, the GCF of Fractions 88/15,56/75,95/53,59/630 is 1/166950
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 15,75,53,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,75,53,630) = 1
common factors(in case of two or more numbers have common factors) = 225
GCF(15,75,53,630) x common factors =1 x 225 = 225
LCM(15,75,53,630) = ( 15 × 75 × 53 × 630 ) / 225
LCM(15,75,53,630) = 37563750 / 225
LCM(15,75,53,630) = 166950
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 88/15, 56/75, 95/53, 59/630?
Answer: GCF of Numerators as per given numbers 88/15, 56/75, 95/53, 59/630 is
GCF of Numerators i.e. for 88,56,95,59 is 1
LCM of denominators i.e. for 15,75,53,630 is 166950.
Thus, GCF of Fractions is 1/166950.Finally, GCF of Fractions for 88/15, 56/75, 95/53, 59/630 is 1/166950.