Use our free GCF of Fractions Calculator tool to compute the GCF of 72/504, 881/711, 716/179 i.e 1/7127064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/504, 881/711, 716/179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/504,881/711,716/179
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 72/504,881/711,716/179, numerators are 72,881,716
Denominators are 504,711,179
The GCF of 72,881,716 is 1 .
LCM of 504,711,179 is 7127064.
The greatest common factor of 72/504,881/711,716/179 = [GCF of 72,881,716]/[LCM of 504,711,179]= 1/7127064
Therefore, the GCF of 72/504,881/711,716/179 is 1/7127064.
To find the highest common factor of 72,881,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 881 are 1, 881
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 72,881,716 is 1.
Lets's calculate GCF of 72,881,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 881
:1,881
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 72,881,716 . The biggest common factor number is the GCF number.
So the greatest common factor 72,881,716 is 1.
Lets's calculate LCM of 504,711,179
3 | 504, 711, 179 |
3 | 168, 237, 179 |
56, 79, 179 |
∴ So the LCM of the given numbers is 3 x 3 x 56 x 79 x 179 = 7127064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7127064
Therefore, the GCF of Fractions 72/504,881/711,716/179 is 1/7127064
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 504,711,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,711,179) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(504,711,179) x common factors =1 x 9 = 9
LCM(504,711,179) = ( 504 × 711 × 179 ) / 9
LCM(504,711,179) = 64143576 / 9
LCM(504,711,179) = 7127064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,881,716?
The HCF of 72,881,716 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 72/504, 881/711, 716/179?
Answer: GCF of Numerators as per given numbers 72/504, 881/711, 716/179 is
GCF of Numerators i.e. for 72,881,716 is 1
LCM of denominators i.e. for 504,711,179 is 7127064.
Thus, GCF of Fractions is 1/7127064.Finally, GCF of Fractions for 72/504, 881/711, 716/179 is 1/7127064.