Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/52,81/76,74/97,49/962
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 95,81,74,49
Greatest Common Factor of Numerators i.e. GCF of 95,81,74,49 is 1 .
LCM of Denominators means LCM of 52,76,97,962 as per the given fractions.
LCM of 52,76,97,962 is 3545932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,81,74,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors 95,81,74,49 . The biggest common factor number is the GCF number.
So the greatest common factor 95,81,74,49 is 1.
Lets's calculate LCM of 52,76,97,962
2 | 52, 76, 97, 962 |
2 | 26, 38, 97, 481 |
13 | 13, 19, 97, 481 |
1, 19, 97, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 19 x 97 x 37 = 3545932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3545932
Therefore, the GCF of Fractions 95/52,81/76,74/97,49/962 is 1/3545932
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 52,76,97,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,76,97,962) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(52,76,97,962) x common factors =1 x 104 = 104
LCM(52,76,97,962) = ( 52 × 76 × 97 × 962 ) / 104
LCM(52,76,97,962) = 368776928 / 104
LCM(52,76,97,962) = 3545932
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 95/52, 81/76, 74/97, 49/962?
Answer: GCF of Numerators as per given numbers 95/52, 81/76, 74/97, 49/962 is
GCF of Numerators i.e. for 95,81,74,49 is 1
LCM of denominators i.e. for 52,76,97,962 is 3545932.
Thus, GCF of Fractions is 1/3545932.Finally, GCF of Fractions for 95/52, 81/76, 74/97, 49/962 is 1/3545932.