GCF of 4394/906, 9240/6538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4394/906, 9240/6538 i.e 2/2961714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4394/906, 9240/6538.
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 4394/906,9240/6538?
Given fractions are 4394/906,9240/6538
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 4394/906,9240/6538, numerators are 4394,9240
Denominators are 906,6538
The GCF of 4394,9240 is 2 .
LCM of 906,6538 is 2961714.
The greatest common factor of 4394/906,9240/6538 = [GCF of 4394,9240]/[LCM of 906,6538]= 2/2961714
Therefore, the GCF of 4394/906,9240/6538 is 2/2961714.
To find the highest common factor of 4394,9240, we have to find the factors of both numbers and list the highest common factor.
The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240
The HCF of 4394,9240 is 2.
Lets's calculate GCF of 4394,9240
| 2 | 4394, 9240 |
| 2197, 4620 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4394,9240 By Matching Biggest Common Factor Method
Now, list down the factors of 4394
:1,2,13,26,169,338,2197,4394
Now, list down the factors of 9240
:1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240
Greatest Common Factor
We found the factors 4394,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 4394,9240 is 2.
Lets's calculate LCM of 906,6538
| 2 | 906, 6538 |
| 453, 3269 |
∴ So the LCM of the given numbers is 2 x 453 x 3269 = 2961714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2961714
Therefore, the GCF of Fractions 4394/906,9240/6538 is 2/2961714
Least Common Multiple of 906,6538 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 906,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,6538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,6538) x common factors =2 x 1 = 2
LCM(906,6538) = ( 906 × 6538 ) / 2
LCM(906,6538) = 5923428 / 2
LCM(906,6538) = 2961714
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4394/906, 9240/6538
1. What is the HCF of 4394,9240?
The HCF of 4394,9240 is 2
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 4394/906, 9240/6538?
Answer: GCF of Numerators as per given numbers 4394/906, 9240/6538 is
GCF of Numerators i.e. for 4394,9240 is 2
LCM of denominators i.e. for 906,6538 is 2961714.
Thus, GCF of Fractions is 2/2961714.Finally, GCF of Fractions for 4394/906, 9240/6538 is 2/2961714.