GCF of 4793/456, 6292/5371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4793/456, 6292/5371 i.e 1/2449176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4793/456, 6292/5371.
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 4793/456,6292/5371?
Given fractions are 4793/456,6292/5371
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 4793/456,6292/5371, numerators are 4793,6292
Denominators are 456,5371
The GCF of 4793,6292 is 1 .
LCM of 456,5371 is 2449176.
The greatest common factor of 4793/456,6292/5371 = [GCF of 4793,6292]/[LCM of 456,5371]= 1/2449176
Therefore, the GCF of 4793/456,6292/5371 is 1/2449176.
To find the highest common factor of 4793,6292, we have to find the factors of both numbers and list the highest common factor.
The factors of 4793 are 1, 4793
The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The HCF of 4793,6292 is 1.
Lets's calculate GCF of 4793,6292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4793,6292 By Matching Biggest Common Factor Method
Now, list down the factors of 4793
:1,4793
Now, list down the factors of 6292
:1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Greatest Common Factor
We found the factors 4793,6292 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,6292 is 1.
Lets's calculate LCM of 456,5371
Given numbers has no common factors except 1. So, there LCM is their product i.e 2449176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2449176
Therefore, the GCF of Fractions 4793/456,6292/5371 is 1/2449176
Least Common Multiple of 456,5371 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 456,5371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,5371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,5371) x common factors =1 x 1 = 1
LCM(456,5371) = ( 456 × 5371 ) / 1
LCM(456,5371) = 2449176 / 1
LCM(456,5371) = 2449176
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FAQs on GCF of Fractions of 4793/456, 6292/5371
1. What is the HCF of 4793,6292?
The HCF of 4793,6292 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 4793/456, 6292/5371?
Answer: GCF of Numerators as per given numbers 4793/456, 6292/5371 is
GCF of Numerators i.e. for 4793,6292 is 1
LCM of denominators i.e. for 456,5371 is 2449176.
Thus, GCF of Fractions is 1/2449176.Finally, GCF of Fractions for 4793/456, 6292/5371 is 1/2449176.