Use our free GCF of Fractions Calculator tool to compute the GCF of 917/28, 880/416 i.e 1/2912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 917/28, 880/416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 917/28,880/416
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 917/28,880/416, numerators are 917,880
Denominators are 28,416
The GCF of 917,880 is 1 .
LCM of 28,416 is 2912.
The greatest common factor of 917/28,880/416 = [GCF of 917,880]/[LCM of 28,416]= 1/2912
Therefore, the GCF of 917/28,880/416 is 1/2912.
To find the highest common factor of 917,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 917 are 1, 7, 131, 917
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 917,880 is 1.
Lets's calculate GCF of 917,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 917,880 . The biggest common factor number is the GCF number.
So the greatest common factor 917,880 is 1.
Lets's calculate LCM of 28,416
2 | 28, 416 |
2 | 14, 208 |
7, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 104 = 2912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2912
Therefore, the GCF of Fractions 917/28,880/416 is 1/2912
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 28,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(28,416) x common factors =4 x 1 = 4
LCM(28,416) = ( 28 × 416 ) / 4
LCM(28,416) = 11648 / 4
LCM(28,416) = 2912
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 917,880?
The HCF of 917,880 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 917/28, 880/416?
Answer: GCF of Numerators as per given numbers 917/28, 880/416 is
GCF of Numerators i.e. for 917,880 is 1
LCM of denominators i.e. for 28,416 is 2912.
Thus, GCF of Fractions is 1/2912.Finally, GCF of Fractions for 917/28, 880/416 is 1/2912.