Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/759,3894/668
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 708,3894
Greatest Common Factor of Numerators i.e. GCF of 708,3894 is 354 .
LCM of Denominators means LCM of 759,668 as per the given fractions.
LCM of 759,668 is 507012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 708,3894
2 | 708, 3894 |
3 | 354, 1947 |
59 | 118, 649 |
2, 11 |
∴ So the GCF of the given numbers is 2 x 3 x 59 = 354
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 3894
List of positive integer factors of 3894 that divides 3894 without a remainder.
1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Greatest Common Factor
We found the factors 708,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 708,3894 is 354.
Lets's calculate LCM of 759,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 507012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 354/507012
Therefore, the GCF of Fractions 708/759,3894/668 is 354/507012
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 759,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,668) x common factors =1 x 1 = 1
LCM(759,668) = ( 759 × 668 ) / 1
LCM(759,668) = 507012 / 1
LCM(759,668) = 507012
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 708/759, 3894/668?
Answer: GCF of Numerators as per given numbers 708/759, 3894/668 is
GCF of Numerators i.e. for 708,3894 is 354
LCM of denominators i.e. for 759,668 is 507012.
Thus, GCF of Fractions is 354/507012.Finally, GCF of Fractions for 708/759, 3894/668 is 354/507012.