GCF of 880/14, 727/8042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/14, 727/8042 i.e 1/56294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/14, 727/8042.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 880/14,727/8042?
Given fractions are 880/14,727/8042
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 880/14,727/8042, numerators are 880,727
Denominators are 14,8042
The GCF of 880,727 is 1 .
LCM of 14,8042 is 56294.
The greatest common factor of 880/14,727/8042 = [GCF of 880,727]/[LCM of 14,8042]= 1/56294
Therefore, the GCF of 880/14,727/8042 is 1/56294.
To find the highest common factor of 880,727, 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 727 are 1, 727
The HCF of 880,727 is 1.
Lets's calculate GCF of 880,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 880,727 By Matching Biggest Common Factor Method
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 727
:1,727
Greatest Common Factor
We found the factors 880,727 . The biggest common factor number is the GCF number.
So the greatest common factor 880,727 is 1.
Lets's calculate LCM of 14,8042
| 2 | 14, 8042 |
| 7, 4021 |
∴ So the LCM of the given numbers is 2 x 7 x 4021 = 56294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56294
Therefore, the GCF of Fractions 880/14,727/8042 is 1/56294
Least Common Multiple of 14,8042 with GCF Formula
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 14,8042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,8042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,8042) x common factors =2 x 1 = 2
LCM(14,8042) = ( 14 × 8042 ) / 2
LCM(14,8042) = 112588 / 2
LCM(14,8042) = 56294
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 880/14, 727/8042
1. What is the HCF of 880,727?
The HCF of 880,727 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 880/14, 727/8042?
Answer: GCF of Numerators as per given numbers 880/14, 727/8042 is
GCF of Numerators i.e. for 880,727 is 1
LCM of denominators i.e. for 14,8042 is 56294.
Thus, GCF of Fractions is 1/56294.Finally, GCF of Fractions for 880/14, 727/8042 is 1/56294.