Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/385,429/626
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 748,429
Greatest Common Factor of Numerators i.e. GCF of 748,429 is 11 .
LCM of Denominators means LCM of 385,626 as per the given fractions.
LCM of 385,626 is 241010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,429
11 | 748, 429 |
68, 39 |
∴ So the GCF of the given numbers is 11 = 11
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 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 748,429 . The biggest common factor number is the GCF number.
So the greatest common factor 748,429 is 11.
Lets's calculate LCM of 385,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 241010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/241010
Therefore, the GCF of Fractions 748/385,429/626 is 11/241010
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 385,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,626) x common factors =1 x 1 = 1
LCM(385,626) = ( 385 × 626 ) / 1
LCM(385,626) = 241010 / 1
LCM(385,626) = 241010
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 748/385, 429/626?
Answer: GCF of Numerators as per given numbers 748/385, 429/626 is
GCF of Numerators i.e. for 748,429 is 11
LCM of denominators i.e. for 385,626 is 241010.
Thus, GCF of Fractions is 11/241010.Finally, GCF of Fractions for 748/385, 429/626 is 11/241010.