Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/492,72/762,760/152
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 95,72,760
Greatest Common Factor of Numerators i.e. GCF of 95,72,760 is 1 .
LCM of Denominators means LCM of 492,762,152 as per the given fractions.
LCM of 492,762,152 is 2374392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,72,760
∴ 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 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 95,72,760 . The biggest common factor number is the GCF number.
So the greatest common factor 95,72,760 is 1.
Lets's calculate LCM of 492,762,152
2 | 492, 762, 152 |
2 | 246, 381, 76 |
3 | 123, 381, 38 |
41, 127, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 127 x 38 = 2374392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2374392
Therefore, the GCF of Fractions 95/492,72/762,760/152 is 1/2374392
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 492,762,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,762,152) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(492,762,152) x common factors =2 x 12 = 24
LCM(492,762,152) = ( 492 × 762 × 152 ) / 24
LCM(492,762,152) = 56985408 / 24
LCM(492,762,152) = 2374392
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 95/492, 72/762, 760/152?
Answer: GCF of Numerators as per given numbers 95/492, 72/762, 760/152 is
GCF of Numerators i.e. for 95,72,760 is 1
LCM of denominators i.e. for 492,762,152 is 2374392.
Thus, GCF of Fractions is 1/2374392.Finally, GCF of Fractions for 95/492, 72/762, 760/152 is 1/2374392.