GCF of 1199/426, 6405/5630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1199/426, 6405/5630 i.e 1/1199190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1199/426, 6405/5630.
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 1199/426,6405/5630?
Given fractions are 1199/426,6405/5630
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 1199/426,6405/5630, numerators are 1199,6405
Denominators are 426,5630
The GCF of 1199,6405 is 1 .
LCM of 426,5630 is 1199190.
The greatest common factor of 1199/426,6405/5630 = [GCF of 1199,6405]/[LCM of 426,5630]= 1/1199190
Therefore, the GCF of 1199/426,6405/5630 is 1/1199190.
To find the highest common factor of 1199,6405, we have to find the factors of both numbers and list the highest common factor.
The factors of 1199 are 1, 11, 109, 1199
The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The HCF of 1199,6405 is 1.
Lets's calculate GCF of 1199,6405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1199,6405 By Matching Biggest Common Factor Method
Now, list down the factors of 1199
:1,11,109,1199
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 1199,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 1199,6405 is 1.
Lets's calculate LCM of 426,5630
| 2 | 426, 5630 |
| 213, 2815 |
∴ So the LCM of the given numbers is 2 x 213 x 2815 = 1199190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1199190
Therefore, the GCF of Fractions 1199/426,6405/5630 is 1/1199190
Least Common Multiple of 426,5630 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 426,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,5630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,5630) x common factors =2 x 1 = 2
LCM(426,5630) = ( 426 × 5630 ) / 2
LCM(426,5630) = 2398380 / 2
LCM(426,5630) = 1199190
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FAQs on GCF of Fractions of 1199/426, 6405/5630
1. What is the HCF of 1199,6405?
The HCF of 1199,6405 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 1199/426, 6405/5630?
Answer: GCF of Numerators as per given numbers 1199/426, 6405/5630 is
GCF of Numerators i.e. for 1199,6405 is 1
LCM of denominators i.e. for 426,5630 is 1199190.
Thus, GCF of Fractions is 1/1199190.Finally, GCF of Fractions for 1199/426, 6405/5630 is 1/1199190.