GCF of 1549/506, 2447/6237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1549/506, 2447/6237 i.e 1/286902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1549/506, 2447/6237.
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 1549/506,2447/6237?
Given fractions are 1549/506,2447/6237
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 1549/506,2447/6237, numerators are 1549,2447
Denominators are 506,6237
The GCF of 1549,2447 is 1 .
LCM of 506,6237 is 286902.
The greatest common factor of 1549/506,2447/6237 = [GCF of 1549,2447]/[LCM of 506,6237]= 1/286902
Therefore, the GCF of 1549/506,2447/6237 is 1/286902.
To find the highest common factor of 1549,2447, we have to find the factors of both numbers and list the highest common factor.
The factors of 1549 are 1, 1549
The factors of 2447 are 1, 2447
The HCF of 1549,2447 is 1.
Lets's calculate GCF of 1549,2447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1549,2447 By Matching Biggest Common Factor Method
Now, list down the factors of 1549
:1,1549
Now, list down the factors of 2447
:1,2447
Greatest Common Factor
We found the factors 1549,2447 . The biggest common factor number is the GCF number.
So the greatest common factor 1549,2447 is 1.
Lets's calculate LCM of 506,6237
| 11 | 506, 6237 |
| 46, 567 |
∴ So the LCM of the given numbers is 11 x 46 x 567 = 286902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286902
Therefore, the GCF of Fractions 1549/506,2447/6237 is 1/286902
Least Common Multiple of 506,6237 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 506,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6237) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6237) x common factors =11 x 1 = 11
LCM(506,6237) = ( 506 × 6237 ) / 11
LCM(506,6237) = 3155922 / 11
LCM(506,6237) = 286902
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FAQs on GCF of Fractions of 1549/506, 2447/6237
1. What is the HCF of 1549,2447?
The HCF of 1549,2447 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 1549/506, 2447/6237?
Answer: GCF of Numerators as per given numbers 1549/506, 2447/6237 is
GCF of Numerators i.e. for 1549,2447 is 1
LCM of denominators i.e. for 506,6237 is 286902.
Thus, GCF of Fractions is 1/286902.Finally, GCF of Fractions for 1549/506, 2447/6237 is 1/286902.