Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2426/525,7834/583
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 2426,7834
Greatest Common Factor of Numerators i.e. GCF of 2426,7834 is 2 .
LCM of Denominators means LCM of 525,583 as per the given fractions.
LCM of 525,583 is 306075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2426,7834
2 | 2426, 7834 |
1213, 3917 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2426
List of positive integer factors of 2426 that divides 2426 without a remainder.
1,2,1213,2426
Factors of 7834
List of positive integer factors of 7834 that divides 7834 without a remainder.
1,2,3917,7834
Greatest Common Factor
We found the factors 2426,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 2426,7834 is 2.
Lets's calculate LCM of 525,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 306075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306075
Therefore, the GCF of Fractions 2426/525,7834/583 is 2/306075
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 525,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,583) x common factors =1 x 1 = 1
LCM(525,583) = ( 525 × 583 ) / 1
LCM(525,583) = 306075 / 1
LCM(525,583) = 306075
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 2426/525, 7834/583?
Answer: GCF of Numerators as per given numbers 2426/525, 7834/583 is
GCF of Numerators i.e. for 2426,7834 is 2
LCM of denominators i.e. for 525,583 is 306075.
Thus, GCF of Fractions is 2/306075.Finally, GCF of Fractions for 2426/525, 7834/583 is 2/306075.