Use our free GCF of Fractions Calculator tool to compute the GCF of 95/716, 736/796, 117/480 i.e 1/17098080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/716, 736/796, 117/480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/716,736/796,117/480
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 95/716,736/796,117/480, numerators are 95,736,117
Denominators are 716,796,480
The GCF of 95,736,117 is 1 .
LCM of 716,796,480 is 17098080.
The greatest common factor of 95/716,736/796,117/480 = [GCF of 95,736,117]/[LCM of 716,796,480]= 1/17098080
Therefore, the GCF of 95/716,736/796,117/480 is 1/17098080.
To find the highest common factor of 95,736,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 95,736,117 is 1.
Lets's calculate GCF of 95,736,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 95,736,117 . The biggest common factor number is the GCF number.
So the greatest common factor 95,736,117 is 1.
Lets's calculate LCM of 716,796,480
2 | 716, 796, 480 |
2 | 358, 398, 240 |
179, 199, 120 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 199 x 120 = 17098080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17098080
Therefore, the GCF of Fractions 95/716,736/796,117/480 is 1/17098080
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 716,796,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,796,480) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(716,796,480) x common factors =4 x 4 = 16
LCM(716,796,480) = ( 716 × 796 × 480 ) / 16
LCM(716,796,480) = 273569280 / 16
LCM(716,796,480) = 17098080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,736,117?
The HCF of 95,736,117 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 95/716, 736/796, 117/480?
Answer: GCF of Numerators as per given numbers 95/716, 736/796, 117/480 is
GCF of Numerators i.e. for 95,736,117 is 1
LCM of denominators i.e. for 716,796,480 is 17098080.
Thus, GCF of Fractions is 1/17098080.Finally, GCF of Fractions for 95/716, 736/796, 117/480 is 1/17098080.