GCF of 2830/914, 4400/3197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2830/914, 4400/3197 i.e 10/2922058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2830/914, 4400/3197.
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 2830/914,4400/3197?
Given fractions are 2830/914,4400/3197
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 2830/914,4400/3197, numerators are 2830,4400
Denominators are 914,3197
The GCF of 2830,4400 is 10 .
LCM of 914,3197 is 2922058.
The greatest common factor of 2830/914,4400/3197 = [GCF of 2830,4400]/[LCM of 914,3197]= 10/2922058
Therefore, the GCF of 2830/914,4400/3197 is 10/2922058.
To find the highest common factor of 2830,4400, we have to find the factors of both numbers and list the highest common factor.
The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The HCF of 2830,4400 is 10.
Lets's calculate GCF of 2830,4400
| 2 | 2830, 4400 |
| 5 | 1415, 2200 |
| 283, 440 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2830,4400 By Matching Biggest Common Factor Method
Now, list down the factors of 2830
:1,2,5,10,283,566,1415,2830
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 2830,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 2830,4400 is 10.
Lets's calculate LCM of 914,3197
Given numbers has no common factors except 1. So, there LCM is their product i.e 2922058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2922058
Therefore, the GCF of Fractions 2830/914,4400/3197 is 10/2922058
Least Common Multiple of 914,3197 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 914,3197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3197) x common factors =1 x 1 = 1
LCM(914,3197) = ( 914 × 3197 ) / 1
LCM(914,3197) = 2922058 / 1
LCM(914,3197) = 2922058
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FAQs on GCF of Fractions of 2830/914, 4400/3197
1. What is the HCF of 2830,4400?
The HCF of 2830,4400 is 10
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 2830/914, 4400/3197?
Answer: GCF of Numerators as per given numbers 2830/914, 4400/3197 is
GCF of Numerators i.e. for 2830,4400 is 10
LCM of denominators i.e. for 914,3197 is 2922058.
Thus, GCF of Fractions is 10/2922058.Finally, GCF of Fractions for 2830/914, 4400/3197 is 10/2922058.