GCF of 2524/179, 9034/7281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2524/179, 9034/7281 i.e 2/1303299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2524/179, 9034/7281.
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 2524/179,9034/7281?
Given fractions are 2524/179,9034/7281
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 2524/179,9034/7281, numerators are 2524,9034
Denominators are 179,7281
The GCF of 2524,9034 is 2 .
LCM of 179,7281 is 1303299.
The greatest common factor of 2524/179,9034/7281 = [GCF of 2524,9034]/[LCM of 179,7281]= 2/1303299
Therefore, the GCF of 2524/179,9034/7281 is 2/1303299.
To find the highest common factor of 2524,9034, we have to find the factors of both numbers and list the highest common factor.
The factors of 2524 are 1, 2, 4, 631, 1262, 2524
The factors of 9034 are 1, 2, 4517, 9034
The HCF of 2524,9034 is 2.
Lets's calculate GCF of 2524,9034
| 2 | 2524, 9034 |
| 1262, 4517 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2524,9034 By Matching Biggest Common Factor Method
Now, list down the factors of 2524
:1,2,4,631,1262,2524
Now, list down the factors of 9034
:1,2,4517,9034
Greatest Common Factor
We found the factors 2524,9034 . The biggest common factor number is the GCF number.
So the greatest common factor 2524,9034 is 2.
Lets's calculate LCM of 179,7281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1303299
Therefore, the GCF of Fractions 2524/179,9034/7281 is 2/1303299
Least Common Multiple of 179,7281 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 179,7281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,7281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,7281) x common factors =1 x 1 = 1
LCM(179,7281) = ( 179 × 7281 ) / 1
LCM(179,7281) = 1303299 / 1
LCM(179,7281) = 1303299
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FAQs on GCF of Fractions of 2524/179, 9034/7281
1. What is the HCF of 2524,9034?
The HCF of 2524,9034 is 2
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 2524/179, 9034/7281?
Answer: GCF of Numerators as per given numbers 2524/179, 9034/7281 is
GCF of Numerators i.e. for 2524,9034 is 2
LCM of denominators i.e. for 179,7281 is 1303299.
Thus, GCF of Fractions is 2/1303299.Finally, GCF of Fractions for 2524/179, 9034/7281 is 2/1303299.