GCF of 4824/859, 3272/1592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4824/859, 3272/1592 i.e 8/1367528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4824/859, 3272/1592.
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 4824/859,3272/1592?
Given fractions are 4824/859,3272/1592
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 4824/859,3272/1592, numerators are 4824,3272
Denominators are 859,1592
The GCF of 4824,3272 is 8 .
LCM of 859,1592 is 1367528.
The greatest common factor of 4824/859,3272/1592 = [GCF of 4824,3272]/[LCM of 859,1592]= 8/1367528
Therefore, the GCF of 4824/859,3272/1592 is 8/1367528.
To find the highest common factor of 4824,3272, we have to find the factors of both numbers and list the highest common factor.
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272
The HCF of 4824,3272 is 8.
Lets's calculate GCF of 4824,3272
| 2 | 4824, 3272 |
| 2 | 2412, 1636 |
| 2 | 1206, 818 |
| 603, 409 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4824,3272 By Matching Biggest Common Factor Method
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Now, list down the factors of 3272
:1,2,4,8,409,818,1636,3272
Greatest Common Factor
We found the factors 4824,3272 . The biggest common factor number is the GCF number.
So the greatest common factor 4824,3272 is 8.
Lets's calculate LCM of 859,1592
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1367528
Therefore, the GCF of Fractions 4824/859,3272/1592 is 8/1367528
Least Common Multiple of 859,1592 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 859,1592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,1592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,1592) x common factors =1 x 1 = 1
LCM(859,1592) = ( 859 × 1592 ) / 1
LCM(859,1592) = 1367528 / 1
LCM(859,1592) = 1367528
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FAQs on GCF of Fractions of 4824/859, 3272/1592
1. What is the HCF of 4824,3272?
The HCF of 4824,3272 is 8
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 4824/859, 3272/1592?
Answer: GCF of Numerators as per given numbers 4824/859, 3272/1592 is
GCF of Numerators i.e. for 4824,3272 is 8
LCM of denominators i.e. for 859,1592 is 1367528.
Thus, GCF of Fractions is 8/1367528.Finally, GCF of Fractions for 4824/859, 3272/1592 is 8/1367528.