Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/278,1084/492
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 434,1084
Greatest Common Factor of Numerators i.e. GCF of 434,1084 is 2 .
LCM of Denominators means LCM of 278,492 as per the given fractions.
LCM of 278,492 is 68388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 434,1084
2 | 434, 1084 |
217, 542 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 1084
List of positive integer factors of 1084 that divides 1084 without a remainder.
1,2,4,271,542,1084
Greatest Common Factor
We found the factors 434,1084 . The biggest common factor number is the GCF number.
So the greatest common factor 434,1084 is 2.
Lets's calculate LCM of 278,492
2 | 278, 492 |
139, 246 |
∴ So the LCM of the given numbers is 2 x 139 x 246 = 68388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68388
Therefore, the GCF of Fractions 434/278,1084/492 is 2/68388
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 278,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,492) x common factors =2 x 1 = 2
LCM(278,492) = ( 278 × 492 ) / 2
LCM(278,492) = 136776 / 2
LCM(278,492) = 68388
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 434/278, 1084/492?
Answer: GCF of Numerators as per given numbers 434/278, 1084/492 is
GCF of Numerators i.e. for 434,1084 is 2
LCM of denominators i.e. for 278,492 is 68388.
Thus, GCF of Fractions is 2/68388.Finally, GCF of Fractions for 434/278, 1084/492 is 2/68388.