Use our free GCF of Fractions Calculator tool to compute the GCF of 880/473, 730/316 i.e 10/149468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/473, 730/316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/473,730/316
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 880/473,730/316, numerators are 880,730
Denominators are 473,316
The GCF of 880,730 is 10 .
LCM of 473,316 is 149468.
The greatest common factor of 880/473,730/316 = [GCF of 880,730]/[LCM of 473,316]= 10/149468
Therefore, the GCF of 880/473,730/316 is 10/149468.
To find the highest common factor of 880,730, we have to find the factors of both numbers and list the highest common factor.
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 factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The HCF of 880,730 is 10.
Lets's calculate GCF of 880,730
2 | 880, 730 |
5 | 440, 365 |
88, 73 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 880,730 . The biggest common factor number is the GCF number.
So the greatest common factor 880,730 is 10.
Lets's calculate LCM of 473,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 149468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/149468
Therefore, the GCF of Fractions 880/473,730/316 is 10/149468
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 473,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,316) x common factors =1 x 1 = 1
LCM(473,316) = ( 473 × 316 ) / 1
LCM(473,316) = 149468 / 1
LCM(473,316) = 149468
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 880,730?
The HCF of 880,730 is 10
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 880/473, 730/316?
Answer: GCF of Numerators as per given numbers 880/473, 730/316 is
GCF of Numerators i.e. for 880,730 is 10
LCM of denominators i.e. for 473,316 is 149468.
Thus, GCF of Fractions is 10/149468.Finally, GCF of Fractions for 880/473, 730/316 is 10/149468.