GCF of 4790/737, 3920/3447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4790/737, 3920/3447 i.e 10/2540439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4790/737, 3920/3447.
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 4790/737,3920/3447?
Given fractions are 4790/737,3920/3447
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 4790/737,3920/3447, numerators are 4790,3920
Denominators are 737,3447
The GCF of 4790,3920 is 10 .
LCM of 737,3447 is 2540439.
The greatest common factor of 4790/737,3920/3447 = [GCF of 4790,3920]/[LCM of 737,3447]= 10/2540439
Therefore, the GCF of 4790/737,3920/3447 is 10/2540439.
To find the highest common factor of 4790,3920, we have to find the factors of both numbers and list the highest common factor.
The factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920
The HCF of 4790,3920 is 10.
Lets's calculate GCF of 4790,3920
| 2 | 4790, 3920 |
| 5 | 2395, 1960 |
| 479, 392 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4790,3920 By Matching Biggest Common Factor Method
Now, list down the factors of 4790
:1,2,5,10,479,958,2395,4790
Now, list down the factors of 3920
:1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Greatest Common Factor
We found the factors 4790,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 4790,3920 is 10.
Lets's calculate LCM of 737,3447
Given numbers has no common factors except 1. So, there LCM is their product i.e 2540439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2540439
Therefore, the GCF of Fractions 4790/737,3920/3447 is 10/2540439
Least Common Multiple of 737,3447 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 737,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,3447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,3447) x common factors =1 x 1 = 1
LCM(737,3447) = ( 737 × 3447 ) / 1
LCM(737,3447) = 2540439 / 1
LCM(737,3447) = 2540439
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FAQs on GCF of Fractions of 4790/737, 3920/3447
1. What is the HCF of 4790,3920?
The HCF of 4790,3920 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 4790/737, 3920/3447?
Answer: GCF of Numerators as per given numbers 4790/737, 3920/3447 is
GCF of Numerators i.e. for 4790,3920 is 10
LCM of denominators i.e. for 737,3447 is 2540439.
Thus, GCF of Fractions is 10/2540439.Finally, GCF of Fractions for 4790/737, 3920/3447 is 10/2540439.