GCF of 1433/520, 7410/6334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1433/520, 7410/6334 i.e 1/1646840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1433/520, 7410/6334.
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 1433/520,7410/6334?
Given fractions are 1433/520,7410/6334
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 1433/520,7410/6334, numerators are 1433,7410
Denominators are 520,6334
The GCF of 1433,7410 is 1 .
LCM of 520,6334 is 1646840.
The greatest common factor of 1433/520,7410/6334 = [GCF of 1433,7410]/[LCM of 520,6334]= 1/1646840
Therefore, the GCF of 1433/520,7410/6334 is 1/1646840.
To find the highest common factor of 1433,7410, we have to find the factors of both numbers and list the highest common factor.
The factors of 1433 are 1, 1433
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The HCF of 1433,7410 is 1.
Lets's calculate GCF of 1433,7410
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1433,7410 By Matching Biggest Common Factor Method
Now, list down the factors of 1433
:1,1433
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 1433,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 1433,7410 is 1.
Lets's calculate LCM of 520,6334
| 2 | 520, 6334 |
| 260, 3167 |
∴ So the LCM of the given numbers is 2 x 260 x 3167 = 1646840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1646840
Therefore, the GCF of Fractions 1433/520,7410/6334 is 1/1646840
Least Common Multiple of 520,6334 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 520,6334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,6334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(520,6334) x common factors =2 x 1 = 2
LCM(520,6334) = ( 520 × 6334 ) / 2
LCM(520,6334) = 3293680 / 2
LCM(520,6334) = 1646840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1433/520, 7410/6334
1. What is the HCF of 1433,7410?
The HCF of 1433,7410 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 1433/520, 7410/6334?
Answer: GCF of Numerators as per given numbers 1433/520, 7410/6334 is
GCF of Numerators i.e. for 1433,7410 is 1
LCM of denominators i.e. for 520,6334 is 1646840.
Thus, GCF of Fractions is 1/1646840.Finally, GCF of Fractions for 1433/520, 7410/6334 is 1/1646840.