Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/86,83/76,47/968,278/375
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 1,83,47,278
Greatest Common Factor of Numerators i.e. GCF of 1,83,47,278 is 1 .
LCM of Denominators means LCM of 86,76,968,375 as per the given fractions.
LCM of 86,76,968,375 is 296571000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,83,47,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 1,83,47,278 . The biggest common factor number is the GCF number.
So the greatest common factor 1,83,47,278 is 1.
Lets's calculate LCM of 86,76,968,375
2 | 86, 76, 968, 375 |
2 | 43, 38, 484, 375 |
43, 19, 242, 375 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 19 x 242 x 375 = 296571000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296571000
Therefore, the GCF of Fractions 1/86,83/76,47/968,278/375 is 1/296571000
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 86,76,968,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,76,968,375) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(86,76,968,375) x common factors =1 x 8 = 8
LCM(86,76,968,375) = ( 86 × 76 × 968 × 375 ) / 8
LCM(86,76,968,375) = 2372568000 / 8
LCM(86,76,968,375) = 296571000
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 1/86, 83/76, 47/968, 278/375?
Answer: GCF of Numerators as per given numbers 1/86, 83/76, 47/968, 278/375 is
GCF of Numerators i.e. for 1,83,47,278 is 1
LCM of denominators i.e. for 86,76,968,375 is 296571000.
Thus, GCF of Fractions is 1/296571000.Finally, GCF of Fractions for 1/86, 83/76, 47/968, 278/375 is 1/296571000.