GCF of 2524/319, 2176/8032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2524/319, 2176/8032 i.e 4/2562208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2524/319, 2176/8032.
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 2524/319,2176/8032?
Given fractions are 2524/319,2176/8032
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 2524/319,2176/8032, numerators are 2524,2176
Denominators are 319,8032
The GCF of 2524,2176 is 4 .
LCM of 319,8032 is 2562208.
The greatest common factor of 2524/319,2176/8032 = [GCF of 2524,2176]/[LCM of 319,8032]= 4/2562208
Therefore, the GCF of 2524/319,2176/8032 is 4/2562208.
To find the highest common factor of 2524,2176, 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 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 2524,2176 is 4.
Lets's calculate GCF of 2524,2176
| 2 | 2524, 2176 |
| 2 | 1262, 1088 |
| 631, 544 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2524,2176 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 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 2524,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 2524,2176 is 4.
Lets's calculate LCM of 319,8032
Given numbers has no common factors except 1. So, there LCM is their product i.e 2562208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2562208
Therefore, the GCF of Fractions 2524/319,2176/8032 is 4/2562208
Least Common Multiple of 319,8032 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 319,8032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,8032) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,8032) x common factors =1 x 1 = 1
LCM(319,8032) = ( 319 × 8032 ) / 1
LCM(319,8032) = 2562208 / 1
LCM(319,8032) = 2562208
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FAQs on GCF of Fractions of 2524/319, 2176/8032
1. What is the HCF of 2524,2176?
The HCF of 2524,2176 is 4
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 2524/319, 2176/8032?
Answer: GCF of Numerators as per given numbers 2524/319, 2176/8032 is
GCF of Numerators i.e. for 2524,2176 is 4
LCM of denominators i.e. for 319,8032 is 2562208.
Thus, GCF of Fractions is 4/2562208.Finally, GCF of Fractions for 2524/319, 2176/8032 is 4/2562208.