Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4213/902,4465/7734
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 4213,4465
Greatest Common Factor of Numerators i.e. GCF of 4213,4465 is 1 .
LCM of Denominators means LCM of 902,7734 as per the given fractions.
LCM of 902,7734 is 3488034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4213,4465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4213
List of positive integer factors of 4213 that divides 4213 without a remainder.
1,11,383,4213
Factors of 4465
List of positive integer factors of 4465 that divides 4465 without a remainder.
1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 4213,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 4213,4465 is 1.
Lets's calculate LCM of 902,7734
2 | 902, 7734 |
451, 3867 |
∴ So the LCM of the given numbers is 2 x 451 x 3867 = 3488034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3488034
Therefore, the GCF of Fractions 4213/902,4465/7734 is 1/3488034
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 902,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,7734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,7734) x common factors =2 x 1 = 2
LCM(902,7734) = ( 902 × 7734 ) / 2
LCM(902,7734) = 6976068 / 2
LCM(902,7734) = 3488034
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 4213/902, 4465/7734?
Answer: GCF of Numerators as per given numbers 4213/902, 4465/7734 is
GCF of Numerators i.e. for 4213,4465 is 1
LCM of denominators i.e. for 902,7734 is 3488034.
Thus, GCF of Fractions is 1/3488034.Finally, GCF of Fractions for 4213/902, 4465/7734 is 1/3488034.