Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1358/634,3372/537
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 1358,3372
Greatest Common Factor of Numerators i.e. GCF of 1358,3372 is 2 .
LCM of Denominators means LCM of 634,537 as per the given fractions.
LCM of 634,537 is 340458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1358,3372
2 | 1358, 3372 |
679, 1686 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1358
List of positive integer factors of 1358 that divides 1358 without a remainder.
1,2,7,14,97,194,679,1358
Factors of 3372
List of positive integer factors of 3372 that divides 3372 without a remainder.
1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors 1358,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,3372 is 2.
Lets's calculate LCM of 634,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 340458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/340458
Therefore, the GCF of Fractions 1358/634,3372/537 is 2/340458
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 634,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,537) x common factors =1 x 1 = 1
LCM(634,537) = ( 634 × 537 ) / 1
LCM(634,537) = 340458 / 1
LCM(634,537) = 340458
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 1358/634, 3372/537?
Answer: GCF of Numerators as per given numbers 1358/634, 3372/537 is
GCF of Numerators i.e. for 1358,3372 is 2
LCM of denominators i.e. for 634,537 is 340458.
Thus, GCF of Fractions is 2/340458.Finally, GCF of Fractions for 1358/634, 3372/537 is 2/340458.