Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 456/706,542/278
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 456,542
Greatest Common Factor of Numerators i.e. GCF of 456,542 is 2 .
LCM of Denominators means LCM of 706,278 as per the given fractions.
LCM of 706,278 is 98134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 456,542
2 | 456, 542 |
228, 271 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 456,542 . The biggest common factor number is the GCF number.
So the greatest common factor 456,542 is 2.
Lets's calculate LCM of 706,278
2 | 706, 278 |
353, 139 |
∴ So the LCM of the given numbers is 2 x 353 x 139 = 98134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98134
Therefore, the GCF of Fractions 456/706,542/278 is 2/98134
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 706,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,278) x common factors =2 x 1 = 2
LCM(706,278) = ( 706 × 278 ) / 2
LCM(706,278) = 196268 / 2
LCM(706,278) = 98134
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 456/706, 542/278?
Answer: GCF of Numerators as per given numbers 456/706, 542/278 is
GCF of Numerators i.e. for 456,542 is 2
LCM of denominators i.e. for 706,278 is 98134.
Thus, GCF of Fractions is 2/98134.Finally, GCF of Fractions for 456/706, 542/278 is 2/98134.