Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/63,541/44,654/702
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 528,541,654
Greatest Common Factor of Numerators i.e. GCF of 528,541,654 is 1 .
LCM of Denominators means LCM of 63,44,702 as per the given fractions.
LCM of 63,44,702 is 108108 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 528,541,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 528,541,654 . The biggest common factor number is the GCF number.
So the greatest common factor 528,541,654 is 1.
Lets's calculate LCM of 63,44,702
2 | 63, 44, 702 |
3 | 63, 22, 351 |
3 | 21, 22, 117 |
7, 22, 39 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 22 x 39 = 108108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108108
Therefore, the GCF of Fractions 528/63,541/44,654/702 is 1/108108
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 63,44,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,44,702) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(63,44,702) x common factors =1 x 18 = 18
LCM(63,44,702) = ( 63 × 44 × 702 ) / 18
LCM(63,44,702) = 1945944 / 18
LCM(63,44,702) = 108108
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 528/63, 541/44, 654/702?
Answer: GCF of Numerators as per given numbers 528/63, 541/44, 654/702 is
GCF of Numerators i.e. for 528,541,654 is 1
LCM of denominators i.e. for 63,44,702 is 108108.
Thus, GCF of Fractions is 1/108108.Finally, GCF of Fractions for 528/63, 541/44, 654/702 is 1/108108.