GCF of 152/249, 539/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/249, 539/576 i.e 1/47808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/249, 539/576.
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 152/249,539/576?
Given fractions are 152/249,539/576
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 152/249,539/576, numerators are 152,539
Denominators are 249,576
The GCF of 152,539 is 1 .
LCM of 249,576 is 47808.
The greatest common factor of 152/249,539/576 = [GCF of 152,539]/[LCM of 249,576]= 1/47808
Therefore, the GCF of 152/249,539/576 is 1/47808.
To find the highest common factor of 152,539, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 152,539 is 1.
Lets's calculate GCF of 152,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 152,539 By Matching Biggest Common Factor Method
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 152,539 . The biggest common factor number is the GCF number.
So the greatest common factor 152,539 is 1.
Lets's calculate LCM of 249,576
| 3 | 249, 576 |
| 83, 192 |
∴ So the LCM of the given numbers is 3 x 83 x 192 = 47808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47808
Therefore, the GCF of Fractions 152/249,539/576 is 1/47808
Least Common Multiple of 249,576 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 249,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,576) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,576) x common factors =3 x 1 = 3
LCM(249,576) = ( 249 × 576 ) / 3
LCM(249,576) = 143424 / 3
LCM(249,576) = 47808
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FAQs on GCF of Fractions of 152/249, 539/576
1. What is the HCF of 152,539?
The HCF of 152,539 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 152/249, 539/576?
Answer: GCF of Numerators as per given numbers 152/249, 539/576 is
GCF of Numerators i.e. for 152,539 is 1
LCM of denominators i.e. for 249,576 is 47808.
Thus, GCF of Fractions is 1/47808.Finally, GCF of Fractions for 152/249, 539/576 is 1/47808.