GCF of 2884/296, 4326/8642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2884/296, 4326/8642 i.e 1442/1279016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2884/296, 4326/8642.
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 2884/296,4326/8642?
Given fractions are 2884/296,4326/8642
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 2884/296,4326/8642, numerators are 2884,4326
Denominators are 296,8642
The GCF of 2884,4326 is 1442 .
LCM of 296,8642 is 1279016.
The greatest common factor of 2884/296,4326/8642 = [GCF of 2884,4326]/[LCM of 296,8642]= 1442/1279016
Therefore, the GCF of 2884/296,4326/8642 is 1442/1279016.
To find the highest common factor of 2884,4326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884
The factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326
The HCF of 2884,4326 is 1442.
Lets's calculate GCF of 2884,4326
| 2 | 2884, 4326 |
| 7 | 1442, 2163 |
| 103 | 206, 309 |
| 2, 3 |
∴ So the GCF of the given numbers is 2 x 7 x 103 = 1442
Greatest Common Factor of 2884,4326 By Matching Biggest Common Factor Method
Now, list down the factors of 2884
:1,2,4,7,14,28,103,206,412,721,1442,2884
Now, list down the factors of 4326
:1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326
Greatest Common Factor
We found the factors 2884,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 2884,4326 is 1442.
Lets's calculate LCM of 296,8642
| 2 | 296, 8642 |
| 148, 4321 |
∴ So the LCM of the given numbers is 2 x 148 x 4321 = 1279016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1442/1279016
Therefore, the GCF of Fractions 2884/296,4326/8642 is 1442/1279016
Least Common Multiple of 296,8642 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 296,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,8642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,8642) x common factors =2 x 1 = 2
LCM(296,8642) = ( 296 × 8642 ) / 2
LCM(296,8642) = 2558032 / 2
LCM(296,8642) = 1279016
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FAQs on GCF of Fractions of 2884/296, 4326/8642
1. What is the HCF of 2884,4326?
The HCF of 2884,4326 is 1442
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 2884/296, 4326/8642?
Answer: GCF of Numerators as per given numbers 2884/296, 4326/8642 is
GCF of Numerators i.e. for 2884,4326 is 1442
LCM of denominators i.e. for 296,8642 is 1279016.
Thus, GCF of Fractions is 1442/1279016.Finally, GCF of Fractions for 2884/296, 4326/8642 is 1442/1279016.