Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/61,636/42,756/724
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 751,636,756
Greatest Common Factor of Numerators i.e. GCF of 751,636,756 is 1 .
LCM of Denominators means LCM of 61,42,724 as per the given fractions.
LCM of 61,42,724 is 927444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 751,636,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
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
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 751,636,756 . The biggest common factor number is the GCF number.
So the greatest common factor 751,636,756 is 1.
Lets's calculate LCM of 61,42,724
2 | 61, 42, 724 |
61, 21, 362 |
∴ So the LCM of the given numbers is 2 x 61 x 21 x 362 = 927444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927444
Therefore, the GCF of Fractions 751/61,636/42,756/724 is 1/927444
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 61,42,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,42,724) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,42,724) x common factors =1 x 2 = 2
LCM(61,42,724) = ( 61 × 42 × 724 ) / 2
LCM(61,42,724) = 1854888 / 2
LCM(61,42,724) = 927444
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 751/61, 636/42, 756/724?
Answer: GCF of Numerators as per given numbers 751/61, 636/42, 756/724 is
GCF of Numerators i.e. for 751,636,756 is 1
LCM of denominators i.e. for 61,42,724 is 927444.
Thus, GCF of Fractions is 1/927444.Finally, GCF of Fractions for 751/61, 636/42, 756/724 is 1/927444.