Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3422/660,2132/1678
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 3422,2132
Greatest Common Factor of Numerators i.e. GCF of 3422,2132 is 2 .
LCM of Denominators means LCM of 660,1678 as per the given fractions.
LCM of 660,1678 is 553740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3422,2132
2 | 3422, 2132 |
1711, 1066 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3422
List of positive integer factors of 3422 that divides 3422 without a remainder.
1,2,29,58,59,118,1711,3422
Factors of 2132
List of positive integer factors of 2132 that divides 2132 without a remainder.
1,2,4,13,26,41,52,82,164,533,1066,2132
Greatest Common Factor
We found the factors 3422,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 3422,2132 is 2.
Lets's calculate LCM of 660,1678
2 | 660, 1678 |
330, 839 |
∴ So the LCM of the given numbers is 2 x 330 x 839 = 553740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/553740
Therefore, the GCF of Fractions 3422/660,2132/1678 is 2/553740
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 660,1678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,1678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(660,1678) x common factors =2 x 1 = 2
LCM(660,1678) = ( 660 × 1678 ) / 2
LCM(660,1678) = 1107480 / 2
LCM(660,1678) = 553740
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 3422/660, 2132/1678?
Answer: GCF of Numerators as per given numbers 3422/660, 2132/1678 is
GCF of Numerators i.e. for 3422,2132 is 2
LCM of denominators i.e. for 660,1678 is 553740.
Thus, GCF of Fractions is 2/553740.Finally, GCF of Fractions for 3422/660, 2132/1678 is 2/553740.