Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/578,562/131
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 76,562
Greatest Common Factor of Numerators i.e. GCF of 76,562 is 2 .
LCM of Denominators means LCM of 578,131 as per the given fractions.
LCM of 578,131 is 75718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,562
2 | 76, 562 |
38, 281 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 76,562 . The biggest common factor number is the GCF number.
So the greatest common factor 76,562 is 2.
Lets's calculate LCM of 578,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 75718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75718
Therefore, the GCF of Fractions 76/578,562/131 is 2/75718
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 578,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,131) x common factors =1 x 1 = 1
LCM(578,131) = ( 578 × 131 ) / 1
LCM(578,131) = 75718 / 1
LCM(578,131) = 75718
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 76/578, 562/131?
Answer: GCF of Numerators as per given numbers 76/578, 562/131 is
GCF of Numerators i.e. for 76,562 is 2
LCM of denominators i.e. for 578,131 is 75718.
Thus, GCF of Fractions is 2/75718.Finally, GCF of Fractions for 76/578, 562/131 is 2/75718.