Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/43,73/86,29/66,988/93
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 88,73,29,988
Greatest Common Factor of Numerators i.e. GCF of 88,73,29,988 is 1 .
LCM of Denominators means LCM of 43,86,66,93 as per the given fractions.
LCM of 43,86,66,93 is 87978 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,73,29,988
∴ 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 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 88,73,29,988 . The biggest common factor number is the GCF number.
So the greatest common factor 88,73,29,988 is 1.
Lets's calculate LCM of 43,86,66,93
2 | 43, 86, 66, 93 |
3 | 43, 43, 33, 93 |
43 | 43, 43, 11, 31 |
1, 1, 11, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 1 x 1 x 11 x 31 = 87978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87978
Therefore, the GCF of Fractions 88/43,73/86,29/66,988/93 is 1/87978
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 43,86,66,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,86,66,93) = 1
common factors(in case of two or more numbers have common factors) = 258
GCF(43,86,66,93) x common factors =1 x 258 = 258
LCM(43,86,66,93) = ( 43 × 86 × 66 × 93 ) / 258
LCM(43,86,66,93) = 22698324 / 258
LCM(43,86,66,93) = 87978
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 88/43, 73/86, 29/66, 988/93?
Answer: GCF of Numerators as per given numbers 88/43, 73/86, 29/66, 988/93 is
GCF of Numerators i.e. for 88,73,29,988 is 1
LCM of denominators i.e. for 43,86,66,93 is 87978.
Thus, GCF of Fractions is 1/87978.Finally, GCF of Fractions for 88/43, 73/86, 29/66, 988/93 is 1/87978.