GCF of 7473/282, 2344/1844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7473/282, 2344/1844 i.e 1/260004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7473/282, 2344/1844.
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 7473/282,2344/1844?
Given fractions are 7473/282,2344/1844
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 7473/282,2344/1844, numerators are 7473,2344
Denominators are 282,1844
The GCF of 7473,2344 is 1 .
LCM of 282,1844 is 260004.
The greatest common factor of 7473/282,2344/1844 = [GCF of 7473,2344]/[LCM of 282,1844]= 1/260004
Therefore, the GCF of 7473/282,2344/1844 is 1/260004.
To find the highest common factor of 7473,2344, we have to find the factors of both numbers and list the highest common factor.
The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The HCF of 7473,2344 is 1.
Lets's calculate GCF of 7473,2344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7473,2344 By Matching Biggest Common Factor Method
Now, list down the factors of 7473
:1,3,47,53,141,159,2491,7473
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
Greatest Common Factor
We found the factors 7473,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 7473,2344 is 1.
Lets's calculate LCM of 282,1844
| 2 | 282, 1844 |
| 141, 922 |
∴ So the LCM of the given numbers is 2 x 141 x 922 = 260004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260004
Therefore, the GCF of Fractions 7473/282,2344/1844 is 1/260004
Least Common Multiple of 282,1844 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 282,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,1844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,1844) x common factors =2 x 1 = 2
LCM(282,1844) = ( 282 × 1844 ) / 2
LCM(282,1844) = 520008 / 2
LCM(282,1844) = 260004
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FAQs on GCF of Fractions of 7473/282, 2344/1844
1. What is the HCF of 7473,2344?
The HCF of 7473,2344 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 7473/282, 2344/1844?
Answer: GCF of Numerators as per given numbers 7473/282, 2344/1844 is
GCF of Numerators i.e. for 7473,2344 is 1
LCM of denominators i.e. for 282,1844 is 260004.
Thus, GCF of Fractions is 1/260004.Finally, GCF of Fractions for 7473/282, 2344/1844 is 1/260004.