GCF of 1430/423, 4787/6414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1430/423, 4787/6414 i.e 1/904374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1430/423, 4787/6414.
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 1430/423,4787/6414?
Given fractions are 1430/423,4787/6414
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 1430/423,4787/6414, numerators are 1430,4787
Denominators are 423,6414
The GCF of 1430,4787 is 1 .
LCM of 423,6414 is 904374.
The greatest common factor of 1430/423,4787/6414 = [GCF of 1430,4787]/[LCM of 423,6414]= 1/904374
Therefore, the GCF of 1430/423,4787/6414 is 1/904374.
To find the highest common factor of 1430,4787, we have to find the factors of both numbers and list the highest common factor.
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The factors of 4787 are 1, 4787
The HCF of 1430,4787 is 1.
Lets's calculate GCF of 1430,4787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1430,4787 By Matching Biggest Common Factor Method
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Now, list down the factors of 4787
:1,4787
Greatest Common Factor
We found the factors 1430,4787 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,4787 is 1.
Lets's calculate LCM of 423,6414
| 3 | 423, 6414 |
| 141, 2138 |
∴ So the LCM of the given numbers is 3 x 141 x 2138 = 904374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/904374
Therefore, the GCF of Fractions 1430/423,4787/6414 is 1/904374
Least Common Multiple of 423,6414 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 423,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,6414) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,6414) x common factors =3 x 1 = 3
LCM(423,6414) = ( 423 × 6414 ) / 3
LCM(423,6414) = 2713122 / 3
LCM(423,6414) = 904374
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1430/423, 4787/6414
1. What is the HCF of 1430,4787?
The HCF of 1430,4787 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 1430/423, 4787/6414?
Answer: GCF of Numerators as per given numbers 1430/423, 4787/6414 is
GCF of Numerators i.e. for 1430,4787 is 1
LCM of denominators i.e. for 423,6414 is 904374.
Thus, GCF of Fractions is 1/904374.Finally, GCF of Fractions for 1430/423, 4787/6414 is 1/904374.