GCF of 2567/903, 1149/5547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2567/903, 1149/5547 i.e 1/38829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2567/903, 1149/5547.
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 2567/903,1149/5547?
Given fractions are 2567/903,1149/5547
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 2567/903,1149/5547, numerators are 2567,1149
Denominators are 903,5547
The GCF of 2567,1149 is 1 .
LCM of 903,5547 is 38829.
The greatest common factor of 2567/903,1149/5547 = [GCF of 2567,1149]/[LCM of 903,5547]= 1/38829
Therefore, the GCF of 2567/903,1149/5547 is 1/38829.
To find the highest common factor of 2567,1149, we have to find the factors of both numbers and list the highest common factor.
The factors of 2567 are 1, 17, 151, 2567
The factors of 1149 are 1, 3, 383, 1149
The HCF of 2567,1149 is 1.
Lets's calculate GCF of 2567,1149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2567,1149 By Matching Biggest Common Factor Method
Now, list down the factors of 2567
:1,17,151,2567
Now, list down the factors of 1149
:1,3,383,1149
Greatest Common Factor
We found the factors 2567,1149 . The biggest common factor number is the GCF number.
So the greatest common factor 2567,1149 is 1.
Lets's calculate LCM of 903,5547
| 3 | 903, 5547 |
| 43 | 301, 1849 |
| 7, 43 |
∴ So the LCM of the given numbers is 3 x 43 x 7 x 43 = 38829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38829
Therefore, the GCF of Fractions 2567/903,1149/5547 is 1/38829
Least Common Multiple of 903,5547 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 903,5547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,5547) = 129
common factors(in case of two or more numbers have common factors) = 1
GCF(903,5547) x common factors =129 x 1 = 129
LCM(903,5547) = ( 903 × 5547 ) / 129
LCM(903,5547) = 5008941 / 129
LCM(903,5547) = 38829
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FAQs on GCF of Fractions of 2567/903, 1149/5547
1. What is the HCF of 2567,1149?
The HCF of 2567,1149 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 2567/903, 1149/5547?
Answer: GCF of Numerators as per given numbers 2567/903, 1149/5547 is
GCF of Numerators i.e. for 2567,1149 is 1
LCM of denominators i.e. for 903,5547 is 38829.
Thus, GCF of Fractions is 1/38829.Finally, GCF of Fractions for 2567/903, 1149/5547 is 1/38829.