Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7382/418,7448/7507
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 7382,7448
Greatest Common Factor of Numerators i.e. GCF of 7382,7448 is 2 .
LCM of Denominators means LCM of 418,7507 as per the given fractions.
LCM of 418,7507 is 3137926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7382,7448
2 | 7382, 7448 |
3691, 3724 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7382
List of positive integer factors of 7382 that divides 7382 without a remainder.
1,2,3691,7382
Factors of 7448
List of positive integer factors of 7448 that divides 7448 without a remainder.
1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Greatest Common Factor
We found the factors 7382,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,7448 is 2.
Lets's calculate LCM of 418,7507
Given numbers has no common factors except 1. So, there LCM is their product i.e 3137926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3137926
Therefore, the GCF of Fractions 7382/418,7448/7507 is 2/3137926
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 418,7507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,7507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,7507) x common factors =1 x 1 = 1
LCM(418,7507) = ( 418 × 7507 ) / 1
LCM(418,7507) = 3137926 / 1
LCM(418,7507) = 3137926
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 7382/418, 7448/7507?
Answer: GCF of Numerators as per given numbers 7382/418, 7448/7507 is
GCF of Numerators i.e. for 7382,7448 is 2
LCM of denominators i.e. for 418,7507 is 3137926.
Thus, GCF of Fractions is 2/3137926.Finally, GCF of Fractions for 7382/418, 7448/7507 is 2/3137926.