GCF of 249/31, 459/9080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 249/31, 459/9080 i.e 3/281480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/31, 459/9080.
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 249/31,459/9080?
Given fractions are 249/31,459/9080
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 249/31,459/9080, numerators are 249,459
Denominators are 31,9080
The GCF of 249,459 is 3 .
LCM of 31,9080 is 281480.
The greatest common factor of 249/31,459/9080 = [GCF of 249,459]/[LCM of 31,9080]= 3/281480
Therefore, the GCF of 249/31,459/9080 is 3/281480.
To find the highest common factor of 249,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 249,459 is 3.
Lets's calculate GCF of 249,459
| 3 | 249, 459 |
| 83, 153 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 249,459 By Matching Biggest Common Factor Method
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 249,459 . The biggest common factor number is the GCF number.
So the greatest common factor 249,459 is 3.
Lets's calculate LCM of 31,9080
Given numbers has no common factors except 1. So, there LCM is their product i.e 281480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/281480
Therefore, the GCF of Fractions 249/31,459/9080 is 3/281480
Least Common Multiple of 31,9080 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 31,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,9080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,9080) x common factors =1 x 1 = 1
LCM(31,9080) = ( 31 × 9080 ) / 1
LCM(31,9080) = 281480 / 1
LCM(31,9080) = 281480
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FAQs on GCF of Fractions of 249/31, 459/9080
1. What is the HCF of 249,459?
The HCF of 249,459 is 3
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 249/31, 459/9080?
Answer: GCF of Numerators as per given numbers 249/31, 459/9080 is
GCF of Numerators i.e. for 249,459 is 3
LCM of denominators i.e. for 31,9080 is 281480.
Thus, GCF of Fractions is 3/281480.Finally, GCF of Fractions for 249/31, 459/9080 is 3/281480.