GCF of 152/464, 8439/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/464, 8439/744 i.e 1/43152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/464, 8439/744.
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 152/464,8439/744?
Given fractions are 152/464,8439/744
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 152/464,8439/744, numerators are 152,8439
Denominators are 464,744
The GCF of 152,8439 is 1 .
LCM of 464,744 is 43152.
The greatest common factor of 152/464,8439/744 = [GCF of 152,8439]/[LCM of 464,744]= 1/43152
Therefore, the GCF of 152/464,8439/744 is 1/43152.
To find the highest common factor of 152,8439, 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 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The HCF of 152,8439 is 1.
Lets's calculate GCF of 152,8439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 152,8439 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 8439
:1,3,29,87,97,291,2813,8439
Greatest Common Factor
We found the factors 152,8439 . The biggest common factor number is the GCF number.
So the greatest common factor 152,8439 is 1.
Lets's calculate LCM of 464,744
| 2 | 464, 744 |
| 2 | 232, 372 |
| 2 | 116, 186 |
| 58, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 58 x 93 = 43152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43152
Therefore, the GCF of Fractions 152/464,8439/744 is 1/43152
Least Common Multiple of 464,744 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 464,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,744) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(464,744) x common factors =8 x 1 = 8
LCM(464,744) = ( 464 × 744 ) / 8
LCM(464,744) = 345216 / 8
LCM(464,744) = 43152
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FAQs on GCF of Fractions of 152/464, 8439/744
1. What is the HCF of 152,8439?
The HCF of 152,8439 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 152/464, 8439/744?
Answer: GCF of Numerators as per given numbers 152/464, 8439/744 is
GCF of Numerators i.e. for 152,8439 is 1
LCM of denominators i.e. for 464,744 is 43152.
Thus, GCF of Fractions is 1/43152.Finally, GCF of Fractions for 152/464, 8439/744 is 1/43152.