Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/653,659/302,791/154
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 88,659,791
Greatest Common Factor of Numerators i.e. GCF of 88,659,791 is 1 .
LCM of Denominators means LCM of 653,302,154 as per the given fractions.
LCM of 653,302,154 is 15184862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,659,791
∴ 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 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 88,659,791 . The biggest common factor number is the GCF number.
So the greatest common factor 88,659,791 is 1.
Lets's calculate LCM of 653,302,154
2 | 653, 302, 154 |
653, 151, 77 |
∴ So the LCM of the given numbers is 2 x 653 x 151 x 77 = 15184862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15184862
Therefore, the GCF of Fractions 88/653,659/302,791/154 is 1/15184862
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 653,302,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,302,154) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(653,302,154) x common factors =1 x 2 = 2
LCM(653,302,154) = ( 653 × 302 × 154 ) / 2
LCM(653,302,154) = 30369724 / 2
LCM(653,302,154) = 15184862
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 88/653, 659/302, 791/154?
Answer: GCF of Numerators as per given numbers 88/653, 659/302, 791/154 is
GCF of Numerators i.e. for 88,659,791 is 1
LCM of denominators i.e. for 653,302,154 is 15184862.
Thus, GCF of Fractions is 1/15184862.Finally, GCF of Fractions for 88/653, 659/302, 791/154 is 1/15184862.