GCF of 4622/747, 1293/7024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/747, 1293/7024 i.e 1/5246928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/747, 1293/7024.
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 4622/747,1293/7024?
Given fractions are 4622/747,1293/7024
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 4622/747,1293/7024, numerators are 4622,1293
Denominators are 747,7024
The GCF of 4622,1293 is 1 .
LCM of 747,7024 is 5246928.
The greatest common factor of 4622/747,1293/7024 = [GCF of 4622,1293]/[LCM of 747,7024]= 1/5246928
Therefore, the GCF of 4622/747,1293/7024 is 1/5246928.
To find the highest common factor of 4622,1293, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 1293 are 1, 3, 431, 1293
The HCF of 4622,1293 is 1.
Lets's calculate GCF of 4622,1293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4622,1293 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 1293
:1,3,431,1293
Greatest Common Factor
We found the factors 4622,1293 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,1293 is 1.
Lets's calculate LCM of 747,7024
Given numbers has no common factors except 1. So, there LCM is their product i.e 5246928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5246928
Therefore, the GCF of Fractions 4622/747,1293/7024 is 1/5246928
Least Common Multiple of 747,7024 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 747,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,7024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,7024) x common factors =1 x 1 = 1
LCM(747,7024) = ( 747 × 7024 ) / 1
LCM(747,7024) = 5246928 / 1
LCM(747,7024) = 5246928
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FAQs on GCF of Fractions of 4622/747, 1293/7024
1. What is the HCF of 4622,1293?
The HCF of 4622,1293 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 4622/747, 1293/7024?
Answer: GCF of Numerators as per given numbers 4622/747, 1293/7024 is
GCF of Numerators i.e. for 4622,1293 is 1
LCM of denominators i.e. for 747,7024 is 5246928.
Thus, GCF of Fractions is 1/5246928.Finally, GCF of Fractions for 4622/747, 1293/7024 is 1/5246928.