GCF of 6423/282, 7534/2180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6423/282, 7534/2180 i.e 1/307380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6423/282, 7534/2180.
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 6423/282,7534/2180?
Given fractions are 6423/282,7534/2180
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 6423/282,7534/2180, numerators are 6423,7534
Denominators are 282,2180
The GCF of 6423,7534 is 1 .
LCM of 282,2180 is 307380.
The greatest common factor of 6423/282,7534/2180 = [GCF of 6423,7534]/[LCM of 282,2180]= 1/307380
Therefore, the GCF of 6423/282,7534/2180 is 1/307380.
To find the highest common factor of 6423,7534, we have to find the factors of both numbers and list the highest common factor.
The factors of 6423 are 1, 3, 2141, 6423
The factors of 7534 are 1, 2, 3767, 7534
The HCF of 6423,7534 is 1.
Lets's calculate GCF of 6423,7534
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6423,7534 By Matching Biggest Common Factor Method
Now, list down the factors of 6423
:1,3,2141,6423
Now, list down the factors of 7534
:1,2,3767,7534
Greatest Common Factor
We found the factors 6423,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 6423,7534 is 1.
Lets's calculate LCM of 282,2180
| 2 | 282, 2180 |
| 141, 1090 |
∴ So the LCM of the given numbers is 2 x 141 x 1090 = 307380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307380
Therefore, the GCF of Fractions 6423/282,7534/2180 is 1/307380
Least Common Multiple of 282,2180 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 282,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,2180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,2180) x common factors =2 x 1 = 2
LCM(282,2180) = ( 282 × 2180 ) / 2
LCM(282,2180) = 614760 / 2
LCM(282,2180) = 307380
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FAQs on GCF of Fractions of 6423/282, 7534/2180
1. What is the HCF of 6423,7534?
The HCF of 6423,7534 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 6423/282, 7534/2180?
Answer: GCF of Numerators as per given numbers 6423/282, 7534/2180 is
GCF of Numerators i.e. for 6423,7534 is 1
LCM of denominators i.e. for 282,2180 is 307380.
Thus, GCF of Fractions is 1/307380.Finally, GCF of Fractions for 6423/282, 7534/2180 is 1/307380.