GCF of 249/40, 949/5006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 249/40, 949/5006 i.e 1/100120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/40, 949/5006.
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 249/40,949/5006?
Given fractions are 249/40,949/5006
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 249/40,949/5006, numerators are 249,949
Denominators are 40,5006
The GCF of 249,949 is 1 .
LCM of 40,5006 is 100120.
The greatest common factor of 249/40,949/5006 = [GCF of 249,949]/[LCM of 40,5006]= 1/100120
Therefore, the GCF of 249/40,949/5006 is 1/100120.
To find the highest common factor of 249,949, 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 949 are 1, 13, 73, 949
The HCF of 249,949 is 1.
Lets's calculate GCF of 249,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 249,949 By Matching Biggest Common Factor Method
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 949
:1,13,73,949
Greatest Common Factor
We found the factors 249,949 . The biggest common factor number is the GCF number.
So the greatest common factor 249,949 is 1.
Lets's calculate LCM of 40,5006
| 2 | 40, 5006 |
| 20, 2503 |
∴ So the LCM of the given numbers is 2 x 20 x 2503 = 100120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100120
Therefore, the GCF of Fractions 249/40,949/5006 is 1/100120
Least Common Multiple of 40,5006 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 40,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,5006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,5006) x common factors =2 x 1 = 2
LCM(40,5006) = ( 40 × 5006 ) / 2
LCM(40,5006) = 200240 / 2
LCM(40,5006) = 100120
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FAQs on GCF of Fractions of 249/40, 949/5006
1. What is the HCF of 249,949?
The HCF of 249,949 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 249/40, 949/5006?
Answer: GCF of Numerators as per given numbers 249/40, 949/5006 is
GCF of Numerators i.e. for 249,949 is 1
LCM of denominators i.e. for 40,5006 is 100120.
Thus, GCF of Fractions is 1/100120.Finally, GCF of Fractions for 249/40, 949/5006 is 1/100120.