Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/122,400/196,557/565
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 628,400,557
Greatest Common Factor of Numerators i.e. GCF of 628,400,557 is 1 .
LCM of Denominators means LCM of 122,196,565 as per the given fractions.
LCM of 122,196,565 is 6755140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 628,400,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 628,400,557 . The biggest common factor number is the GCF number.
So the greatest common factor 628,400,557 is 1.
Lets's calculate LCM of 122,196,565
2 | 122, 196, 565 |
61, 98, 565 |
∴ So the LCM of the given numbers is 2 x 61 x 98 x 565 = 6755140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6755140
Therefore, the GCF of Fractions 628/122,400/196,557/565 is 1/6755140
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 122,196,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,196,565) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(122,196,565) x common factors =1 x 2 = 2
LCM(122,196,565) = ( 122 × 196 × 565 ) / 2
LCM(122,196,565) = 13510280 / 2
LCM(122,196,565) = 6755140
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 628/122, 400/196, 557/565?
Answer: GCF of Numerators as per given numbers 628/122, 400/196, 557/565 is
GCF of Numerators i.e. for 628,400,557 is 1
LCM of denominators i.e. for 122,196,565 is 6755140.
Thus, GCF of Fractions is 1/6755140.Finally, GCF of Fractions for 628/122, 400/196, 557/565 is 1/6755140.