Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/20,808/7651
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 748,808
Greatest Common Factor of Numerators i.e. GCF of 748,808 is 4 .
LCM of Denominators means LCM of 20,7651 as per the given fractions.
LCM of 20,7651 is 153020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,808
2 | 748, 808 |
2 | 374, 404 |
187, 202 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 748,808 . The biggest common factor number is the GCF number.
So the greatest common factor 748,808 is 4.
Lets's calculate LCM of 20,7651
Given numbers has no common factors except 1. So, there LCM is their product i.e 153020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/153020
Therefore, the GCF of Fractions 748/20,808/7651 is 4/153020
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 20,7651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,7651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,7651) x common factors =1 x 1 = 1
LCM(20,7651) = ( 20 × 7651 ) / 1
LCM(20,7651) = 153020 / 1
LCM(20,7651) = 153020
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 748/20, 808/7651?
Answer: GCF of Numerators as per given numbers 748/20, 808/7651 is
GCF of Numerators i.e. for 748,808 is 4
LCM of denominators i.e. for 20,7651 is 153020.
Thus, GCF of Fractions is 4/153020.Finally, GCF of Fractions for 748/20, 808/7651 is 4/153020.