Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/79,90/95,44/474,500/759
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 8,90,44,500
Greatest Common Factor of Numerators i.e. GCF of 8,90,44,500 is 2 .
LCM of Denominators means LCM of 79,95,474,759 as per the given fractions.
LCM of 79,95,474,759 is 11392590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,90,44,500
2 | 8, 90, 44, 500 |
4, 45, 22, 250 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 8,90,44,500 . The biggest common factor number is the GCF number.
So the greatest common factor 8,90,44,500 is 2.
Lets's calculate LCM of 79,95,474,759
3 | 79, 95, 474, 759 |
79 | 79, 95, 158, 253 |
1, 95, 2, 253 |
∴ So the LCM of the given numbers is 3 x 79 x 1 x 95 x 2 x 253 = 11392590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11392590
Therefore, the GCF of Fractions 8/79,90/95,44/474,500/759 is 2/11392590
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 79,95,474,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,95,474,759) = 1
common factors(in case of two or more numbers have common factors) = 237
GCF(79,95,474,759) x common factors =1 x 237 = 237
LCM(79,95,474,759) = ( 79 × 95 × 474 × 759 ) / 237
LCM(79,95,474,759) = 2700043830 / 237
LCM(79,95,474,759) = 11392590
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 8/79, 90/95, 44/474, 500/759?
Answer: GCF of Numerators as per given numbers 8/79, 90/95, 44/474, 500/759 is
GCF of Numerators i.e. for 8,90,44,500 is 2
LCM of denominators i.e. for 79,95,474,759 is 11392590.
Thus, GCF of Fractions is 2/11392590.Finally, GCF of Fractions for 8/79, 90/95, 44/474, 500/759 is 2/11392590.