Use our free GCF of Fractions Calculator tool to compute the GCF of 69/17, 373/74, 840/356 i.e 1/223924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/17, 373/74, 840/356.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/17,373/74,840/356
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 69/17,373/74,840/356, numerators are 69,373,840
Denominators are 17,74,356
The GCF of 69,373,840 is 1 .
LCM of 17,74,356 is 223924.
The greatest common factor of 69/17,373/74,840/356 = [GCF of 69,373,840]/[LCM of 17,74,356]= 1/223924
Therefore, the GCF of 69/17,373/74,840/356 is 1/223924.
To find the highest common factor of 69,373,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 373 are 1, 373
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 69,373,840 is 1.
Lets's calculate GCF of 69,373,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 373
:1,373
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 69,373,840 . The biggest common factor number is the GCF number.
So the greatest common factor 69,373,840 is 1.
Lets's calculate LCM of 17,74,356
2 | 17, 74, 356 |
17, 37, 178 |
∴ So the LCM of the given numbers is 2 x 17 x 37 x 178 = 223924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223924
Therefore, the GCF of Fractions 69/17,373/74,840/356 is 1/223924
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 17,74,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,74,356) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(17,74,356) x common factors =1 x 2 = 2
LCM(17,74,356) = ( 17 × 74 × 356 ) / 2
LCM(17,74,356) = 447848 / 2
LCM(17,74,356) = 223924
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,373,840?
The HCF of 69,373,840 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 69/17, 373/74, 840/356?
Answer: GCF of Numerators as per given numbers 69/17, 373/74, 840/356 is
GCF of Numerators i.e. for 69,373,840 is 1
LCM of denominators i.e. for 17,74,356 is 223924.
Thus, GCF of Fractions is 1/223924.Finally, GCF of Fractions for 69/17, 373/74, 840/356 is 1/223924.