Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/778,233/519,740/633
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 76,233,740
Greatest Common Factor of Numerators i.e. GCF of 76,233,740 is 1 .
LCM of Denominators means LCM of 778,519,633 as per the given fractions.
LCM of 778,519,633 is 85198002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,233,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 76,233,740 . The biggest common factor number is the GCF number.
So the greatest common factor 76,233,740 is 1.
Lets's calculate LCM of 778,519,633
3 | 778, 519, 633 |
778, 173, 211 |
∴ So the LCM of the given numbers is 3 x 778 x 173 x 211 = 85198002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85198002
Therefore, the GCF of Fractions 76/778,233/519,740/633 is 1/85198002
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 778,519,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,519,633) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(778,519,633) x common factors =1 x 3 = 3
LCM(778,519,633) = ( 778 × 519 × 633 ) / 3
LCM(778,519,633) = 255594006 / 3
LCM(778,519,633) = 85198002
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 76/778, 233/519, 740/633?
Answer: GCF of Numerators as per given numbers 76/778, 233/519, 740/633 is
GCF of Numerators i.e. for 76,233,740 is 1
LCM of denominators i.e. for 778,519,633 is 85198002.
Thus, GCF of Fractions is 1/85198002.Finally, GCF of Fractions for 76/778, 233/519, 740/633 is 1/85198002.