Use our free GCF of Fractions Calculator tool to compute the GCF of 61/696, 35/214, 382/361 i.e 1/26884392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/696, 35/214, 382/361.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/696,35/214,382/361
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 61/696,35/214,382/361, numerators are 61,35,382
Denominators are 696,214,361
The GCF of 61,35,382 is 1 .
LCM of 696,214,361 is 26884392.
The greatest common factor of 61/696,35/214,382/361 = [GCF of 61,35,382]/[LCM of 696,214,361]= 1/26884392
Therefore, the GCF of 61/696,35/214,382/361 is 1/26884392.
To find the highest common factor of 61,35,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 35 are 1, 5, 7, 35
The factors of 382 are 1, 2, 191, 382
The HCF of 61,35,382 is 1.
Lets's calculate GCF of 61,35,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 61
:1,61
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 61,35,382 . The biggest common factor number is the GCF number.
So the greatest common factor 61,35,382 is 1.
Lets's calculate LCM of 696,214,361
2 | 696, 214, 361 |
348, 107, 361 |
∴ So the LCM of the given numbers is 2 x 348 x 107 x 361 = 26884392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26884392
Therefore, the GCF of Fractions 61/696,35/214,382/361 is 1/26884392
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 696,214,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,214,361) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(696,214,361) x common factors =1 x 2 = 2
LCM(696,214,361) = ( 696 × 214 × 361 ) / 2
LCM(696,214,361) = 53768784 / 2
LCM(696,214,361) = 26884392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 61,35,382?
The HCF of 61,35,382 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 61/696, 35/214, 382/361?
Answer: GCF of Numerators as per given numbers 61/696, 35/214, 382/361 is
GCF of Numerators i.e. for 61,35,382 is 1
LCM of denominators i.e. for 696,214,361 is 26884392.
Thus, GCF of Fractions is 1/26884392.Finally, GCF of Fractions for 61/696, 35/214, 382/361 is 1/26884392.