Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/72,61/40,83/991,432/715
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 4,61,83,432
Greatest Common Factor of Numerators i.e. GCF of 4,61,83,432 is 1 .
LCM of Denominators means LCM of 72,40,991,715 as per the given fractions.
LCM of 72,40,991,715 is 51016680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,61,83,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 4,61,83,432 . The biggest common factor number is the GCF number.
So the greatest common factor 4,61,83,432 is 1.
Lets's calculate LCM of 72,40,991,715
2 | 72, 40, 991, 715 |
2 | 36, 20, 991, 715 |
2 | 18, 10, 991, 715 |
5 | 9, 5, 991, 715 |
9, 1, 991, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 9 x 1 x 991 x 143 = 51016680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51016680
Therefore, the GCF of Fractions 4/72,61/40,83/991,432/715 is 1/51016680
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 72,40,991,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,40,991,715) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(72,40,991,715) x common factors =1 x 40 = 40
LCM(72,40,991,715) = ( 72 × 40 × 991 × 715 ) / 40
LCM(72,40,991,715) = 2040667200 / 40
LCM(72,40,991,715) = 51016680
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 4/72, 61/40, 83/991, 432/715?
Answer: GCF of Numerators as per given numbers 4/72, 61/40, 83/991, 432/715 is
GCF of Numerators i.e. for 4,61,83,432 is 1
LCM of denominators i.e. for 72,40,991,715 is 51016680.
Thus, GCF of Fractions is 1/51016680.Finally, GCF of Fractions for 4/72, 61/40, 83/991, 432/715 is 1/51016680.