GCF of 5383/210, 7744/5922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5383/210, 7744/5922 i.e 1/29610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5383/210, 7744/5922.
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 5383/210,7744/5922?
Given fractions are 5383/210,7744/5922
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 5383/210,7744/5922, numerators are 5383,7744
Denominators are 210,5922
The GCF of 5383,7744 is 1 .
LCM of 210,5922 is 29610.
The greatest common factor of 5383/210,7744/5922 = [GCF of 5383,7744]/[LCM of 210,5922]= 1/29610
Therefore, the GCF of 5383/210,7744/5922 is 1/29610.
To find the highest common factor of 5383,7744, we have to find the factors of both numbers and list the highest common factor.
The factors of 5383 are 1, 7, 769, 5383
The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744
The HCF of 5383,7744 is 1.
Lets's calculate GCF of 5383,7744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5383,7744 By Matching Biggest Common Factor Method
Now, list down the factors of 5383
:1,7,769,5383
Now, list down the factors of 7744
:1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors 5383,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 5383,7744 is 1.
Lets's calculate LCM of 210,5922
| 2 | 210, 5922 |
| 3 | 105, 2961 |
| 7 | 35, 987 |
| 5, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 141 = 29610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29610
Therefore, the GCF of Fractions 5383/210,7744/5922 is 1/29610
Least Common Multiple of 210,5922 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 210,5922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,5922) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(210,5922) x common factors =42 x 1 = 42
LCM(210,5922) = ( 210 × 5922 ) / 42
LCM(210,5922) = 1243620 / 42
LCM(210,5922) = 29610
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5383/210, 7744/5922
1. What is the HCF of 5383,7744?
The HCF of 5383,7744 is 1
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 5383/210, 7744/5922?
Answer: GCF of Numerators as per given numbers 5383/210, 7744/5922 is
GCF of Numerators i.e. for 5383,7744 is 1
LCM of denominators i.e. for 210,5922 is 29610.
Thus, GCF of Fractions is 1/29610.Finally, GCF of Fractions for 5383/210, 7744/5922 is 1/29610.