Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7358/670,3390/107
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 7358,3390
Greatest Common Factor of Numerators i.e. GCF of 7358,3390 is 2 .
LCM of Denominators means LCM of 670,107 as per the given fractions.
LCM of 670,107 is 71690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7358,3390
2 | 7358, 3390 |
3679, 1695 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7358
List of positive integer factors of 7358 that divides 7358 without a remainder.
1,2,13,26,283,566,3679,7358
Factors of 3390
List of positive integer factors of 3390 that divides 3390 without a remainder.
1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Greatest Common Factor
We found the factors 7358,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 7358,3390 is 2.
Lets's calculate LCM of 670,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 71690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71690
Therefore, the GCF of Fractions 7358/670,3390/107 is 2/71690
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 670,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,107) x common factors =1 x 1 = 1
LCM(670,107) = ( 670 × 107 ) / 1
LCM(670,107) = 71690 / 1
LCM(670,107) = 71690
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 7358/670, 3390/107?
Answer: GCF of Numerators as per given numbers 7358/670, 3390/107 is
GCF of Numerators i.e. for 7358,3390 is 2
LCM of denominators i.e. for 670,107 is 71690.
Thus, GCF of Fractions is 2/71690.Finally, GCF of Fractions for 7358/670, 3390/107 is 2/71690.