Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3771/532,6685/148
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 3771,6685
Greatest Common Factor of Numerators i.e. GCF of 3771,6685 is 1 .
LCM of Denominators means LCM of 532,148 as per the given fractions.
LCM of 532,148 is 19684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3771,6685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3771
List of positive integer factors of 3771 that divides 3771 without a remainder.
1,3,9,419,1257,3771
Factors of 6685
List of positive integer factors of 6685 that divides 6685 without a remainder.
1,5,7,35,191,955,1337,6685
Greatest Common Factor
We found the factors 3771,6685 . The biggest common factor number is the GCF number.
So the greatest common factor 3771,6685 is 1.
Lets's calculate LCM of 532,148
2 | 532, 148 |
2 | 266, 74 |
133, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 133 x 37 = 19684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19684
Therefore, the GCF of Fractions 3771/532,6685/148 is 1/19684
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 532,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(532,148) x common factors =4 x 1 = 4
LCM(532,148) = ( 532 × 148 ) / 4
LCM(532,148) = 78736 / 4
LCM(532,148) = 19684
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 3771/532, 6685/148?
Answer: GCF of Numerators as per given numbers 3771/532, 6685/148 is
GCF of Numerators i.e. for 3771,6685 is 1
LCM of denominators i.e. for 532,148 is 19684.
Thus, GCF of Fractions is 1/19684.Finally, GCF of Fractions for 3771/532, 6685/148 is 1/19684.