Use our free GCF of Fractions Calculator tool to compute the GCF of 11/641, 94/374, 787/641 i.e 1/239734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/641, 94/374, 787/641.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/641,94/374,787/641
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 11/641,94/374,787/641, numerators are 11,94,787
Denominators are 641,374,641
The GCF of 11,94,787 is 1 .
LCM of 641,374,641 is 239734.
The greatest common factor of 11/641,94/374,787/641 = [GCF of 11,94,787]/[LCM of 641,374,641]= 1/239734
Therefore, the GCF of 11/641,94/374,787/641 is 1/239734.
To find the highest common factor of 11,94,787, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 94 are 1, 2, 47, 94
The factors of 787 are 1, 787
The HCF of 11,94,787 is 1.
Lets's calculate GCF of 11,94,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 787
:1,787
Greatest Common Factor
We found the factors 11,94,787 . The biggest common factor number is the GCF number.
So the greatest common factor 11,94,787 is 1.
Lets's calculate LCM of 641,374,641
641 | 641, 374, 641 |
1, 374, 1 |
∴ So the LCM of the given numbers is 641 x 1 x 374 x 1 = 239734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239734
Therefore, the GCF of Fractions 11/641,94/374,787/641 is 1/239734
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 641,374,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,374,641) = 1
common factors(in case of two or more numbers have common factors) = 641
GCF(641,374,641) x common factors =1 x 641 = 641
LCM(641,374,641) = ( 641 × 374 × 641 ) / 641
LCM(641,374,641) = 153669494 / 641
LCM(641,374,641) = 239734
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,94,787?
The HCF of 11,94,787 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 11/641, 94/374, 787/641?
Answer: GCF of Numerators as per given numbers 11/641, 94/374, 787/641 is
GCF of Numerators i.e. for 11,94,787 is 1
LCM of denominators i.e. for 641,374,641 is 239734.
Thus, GCF of Fractions is 1/239734.Finally, GCF of Fractions for 11/641, 94/374, 787/641 is 1/239734.