Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/65,41/52,88/64,635/70
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 34,41,88,635
Greatest Common Factor of Numerators i.e. GCF of 34,41,88,635 is 1 .
LCM of Denominators means LCM of 65,52,64,70 as per the given fractions.
LCM of 65,52,64,70 is 29120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,41,88,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
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 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 34,41,88,635 . The biggest common factor number is the GCF number.
So the greatest common factor 34,41,88,635 is 1.
Lets's calculate LCM of 65,52,64,70
2 | 65, 52, 64, 70 |
2 | 65, 26, 32, 35 |
5 | 65, 13, 16, 35 |
13 | 13, 13, 16, 7 |
1, 1, 16, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 1 x 16 x 7 = 29120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29120
Therefore, the GCF of Fractions 34/65,41/52,88/64,635/70 is 1/29120
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 65,52,64,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,52,64,70) = 1
common factors(in case of two or more numbers have common factors) = 520
GCF(65,52,64,70) x common factors =1 x 520 = 520
LCM(65,52,64,70) = ( 65 × 52 × 64 × 70 ) / 520
LCM(65,52,64,70) = 15142400 / 520
LCM(65,52,64,70) = 29120
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 34/65, 41/52, 88/64, 635/70?
Answer: GCF of Numerators as per given numbers 34/65, 41/52, 88/64, 635/70 is
GCF of Numerators i.e. for 34,41,88,635 is 1
LCM of denominators i.e. for 65,52,64,70 is 29120.
Thus, GCF of Fractions is 1/29120.Finally, GCF of Fractions for 34/65, 41/52, 88/64, 635/70 is 1/29120.