Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/828,601/920,636/862
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 342,601,636
Greatest Common Factor of Numerators i.e. GCF of 342,601,636 is 1 .
LCM of Denominators means LCM of 828,920,862 as per the given fractions.
LCM of 828,920,862 is 3568680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 342,601,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 342,601,636 . The biggest common factor number is the GCF number.
So the greatest common factor 342,601,636 is 1.
Lets's calculate LCM of 828,920,862
2 | 828, 920, 862 |
2 | 414, 460, 431 |
23 | 207, 230, 431 |
9, 10, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 9 x 10 x 431 = 3568680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3568680
Therefore, the GCF of Fractions 342/828,601/920,636/862 is 1/3568680
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 828,920,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,920,862) = 2
common factors(in case of two or more numbers have common factors) = 92
GCF(828,920,862) x common factors =2 x 92 = 184
LCM(828,920,862) = ( 828 × 920 × 862 ) / 184
LCM(828,920,862) = 656637120 / 184
LCM(828,920,862) = 3568680
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 342/828, 601/920, 636/862?
Answer: GCF of Numerators as per given numbers 342/828, 601/920, 636/862 is
GCF of Numerators i.e. for 342,601,636 is 1
LCM of denominators i.e. for 828,920,862 is 3568680.
Thus, GCF of Fractions is 1/3568680.Finally, GCF of Fractions for 342/828, 601/920, 636/862 is 1/3568680.