GCF of 4452/859, 8319/3152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/859, 8319/3152 i.e 3/2707568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/859, 8319/3152.
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 4452/859,8319/3152?
Given fractions are 4452/859,8319/3152
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 4452/859,8319/3152, numerators are 4452,8319
Denominators are 859,3152
The GCF of 4452,8319 is 3 .
LCM of 859,3152 is 2707568.
The greatest common factor of 4452/859,8319/3152 = [GCF of 4452,8319]/[LCM of 859,3152]= 3/2707568
Therefore, the GCF of 4452/859,8319/3152 is 3/2707568.
To find the highest common factor of 4452,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 4452,8319 is 3.
Lets's calculate GCF of 4452,8319
| 3 | 4452, 8319 |
| 1484, 2773 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4452,8319 By Matching Biggest Common Factor Method
Now, list down the factors of 4452
:1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 4452,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,8319 is 3.
Lets's calculate LCM of 859,3152
Given numbers has no common factors except 1. So, there LCM is their product i.e 2707568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2707568
Therefore, the GCF of Fractions 4452/859,8319/3152 is 3/2707568
Least Common Multiple of 859,3152 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 859,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,3152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,3152) x common factors =1 x 1 = 1
LCM(859,3152) = ( 859 × 3152 ) / 1
LCM(859,3152) = 2707568 / 1
LCM(859,3152) = 2707568
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FAQs on GCF of Fractions of 4452/859, 8319/3152
1. What is the HCF of 4452,8319?
The HCF of 4452,8319 is 3
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 4452/859, 8319/3152?
Answer: GCF of Numerators as per given numbers 4452/859, 8319/3152 is
GCF of Numerators i.e. for 4452,8319 is 3
LCM of denominators i.e. for 859,3152 is 2707568.
Thus, GCF of Fractions is 3/2707568.Finally, GCF of Fractions for 4452/859, 8319/3152 is 3/2707568.