GCF of 4683/968, 1167/2576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4683/968, 1167/2576 i.e 3/311696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4683/968, 1167/2576.
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 4683/968,1167/2576?
Given fractions are 4683/968,1167/2576
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 4683/968,1167/2576, numerators are 4683,1167
Denominators are 968,2576
The GCF of 4683,1167 is 3 .
LCM of 968,2576 is 311696.
The greatest common factor of 4683/968,1167/2576 = [GCF of 4683,1167]/[LCM of 968,2576]= 3/311696
Therefore, the GCF of 4683/968,1167/2576 is 3/311696.
To find the highest common factor of 4683,1167, we have to find the factors of both numbers and list the highest common factor.
The factors of 4683 are 1, 3, 7, 21, 223, 669, 1561, 4683
The factors of 1167 are 1, 3, 389, 1167
The HCF of 4683,1167 is 3.
Lets's calculate GCF of 4683,1167
| 3 | 4683, 1167 |
| 1561, 389 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4683,1167 By Matching Biggest Common Factor Method
Now, list down the factors of 4683
:1,3,7,21,223,669,1561,4683
Now, list down the factors of 1167
:1,3,389,1167
Greatest Common Factor
We found the factors 4683,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 4683,1167 is 3.
Lets's calculate LCM of 968,2576
| 2 | 968, 2576 |
| 2 | 484, 1288 |
| 2 | 242, 644 |
| 121, 322 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 322 = 311696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/311696
Therefore, the GCF of Fractions 4683/968,1167/2576 is 3/311696
Least Common Multiple of 968,2576 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 968,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,2576) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(968,2576) x common factors =8 x 1 = 8
LCM(968,2576) = ( 968 × 2576 ) / 8
LCM(968,2576) = 2493568 / 8
LCM(968,2576) = 311696
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FAQs on GCF of Fractions of 4683/968, 1167/2576
1. What is the HCF of 4683,1167?
The HCF of 4683,1167 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 4683/968, 1167/2576?
Answer: GCF of Numerators as per given numbers 4683/968, 1167/2576 is
GCF of Numerators i.e. for 4683,1167 is 3
LCM of denominators i.e. for 968,2576 is 311696.
Thus, GCF of Fractions is 3/311696.Finally, GCF of Fractions for 4683/968, 1167/2576 is 3/311696.