GCF of 2828/914, 5642/3492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2828/914, 5642/3492 i.e 14/1595844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/914, 5642/3492.
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 2828/914,5642/3492?
Given fractions are 2828/914,5642/3492
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 2828/914,5642/3492, numerators are 2828,5642
Denominators are 914,3492
The GCF of 2828,5642 is 14 .
LCM of 914,3492 is 1595844.
The greatest common factor of 2828/914,5642/3492 = [GCF of 2828,5642]/[LCM of 914,3492]= 14/1595844
Therefore, the GCF of 2828/914,5642/3492 is 14/1595844.
To find the highest common factor of 2828,5642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
The HCF of 2828,5642 is 14.
Lets's calculate GCF of 2828,5642
| 2 | 2828, 5642 |
| 7 | 1414, 2821 |
| 202, 403 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2828,5642 By Matching Biggest Common Factor Method
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Now, list down the factors of 5642
:1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642
Greatest Common Factor
We found the factors 2828,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,5642 is 14.
Lets's calculate LCM of 914,3492
| 2 | 914, 3492 |
| 457, 1746 |
∴ So the LCM of the given numbers is 2 x 457 x 1746 = 1595844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1595844
Therefore, the GCF of Fractions 2828/914,5642/3492 is 14/1595844
Least Common Multiple of 914,3492 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 914,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3492) x common factors =2 x 1 = 2
LCM(914,3492) = ( 914 × 3492 ) / 2
LCM(914,3492) = 3191688 / 2
LCM(914,3492) = 1595844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2828/914, 5642/3492
1. What is the HCF of 2828,5642?
The HCF of 2828,5642 is 14
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 2828/914, 5642/3492?
Answer: GCF of Numerators as per given numbers 2828/914, 5642/3492 is
GCF of Numerators i.e. for 2828,5642 is 14
LCM of denominators i.e. for 914,3492 is 1595844.
Thus, GCF of Fractions is 14/1595844.Finally, GCF of Fractions for 2828/914, 5642/3492 is 14/1595844.