GCF of 1267/480, 5546/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1267/480, 5546/120 i.e 1/480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1267/480, 5546/120.
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 1267/480,5546/120?
Given fractions are 1267/480,5546/120
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 1267/480,5546/120, numerators are 1267,5546
Denominators are 480,120
The GCF of 1267,5546 is 1 .
LCM of 480,120 is 480.
The greatest common factor of 1267/480,5546/120 = [GCF of 1267,5546]/[LCM of 480,120]= 1/480
Therefore, the GCF of 1267/480,5546/120 is 1/480.
To find the highest common factor of 1267,5546, we have to find the factors of both numbers and list the highest common factor.
The factors of 1267 are 1, 7, 181, 1267
The factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546
The HCF of 1267,5546 is 1.
Lets's calculate GCF of 1267,5546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1267,5546 By Matching Biggest Common Factor Method
Now, list down the factors of 1267
:1,7,181,1267
Now, list down the factors of 5546
:1,2,47,59,94,118,2773,5546
Greatest Common Factor
We found the factors 1267,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 1267,5546 is 1.
Lets's calculate LCM of 480,120
| 2 | 480, 120 |
| 2 | 240, 60 |
| 2 | 120, 30 |
| 3 | 60, 15 |
| 5 | 20, 5 |
| 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 1 = 480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480
Therefore, the GCF of Fractions 1267/480,5546/120 is 1/480
Least Common Multiple of 480,120 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 480,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,120) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(480,120) x common factors =120 x 1 = 120
LCM(480,120) = ( 480 × 120 ) / 120
LCM(480,120) = 57600 / 120
LCM(480,120) = 480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1267/480, 5546/120
1. What is the HCF of 1267,5546?
The HCF of 1267,5546 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 1267/480, 5546/120?
Answer: GCF of Numerators as per given numbers 1267/480, 5546/120 is
GCF of Numerators i.e. for 1267,5546 is 1
LCM of denominators i.e. for 480,120 is 480.
Thus, GCF of Fractions is 1/480.Finally, GCF of Fractions for 1267/480, 5546/120 is 1/480.