GCF of 4963/704, 7460/2451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4963/704, 7460/2451 i.e 1/1725504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4963/704, 7460/2451.
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 4963/704,7460/2451?
Given fractions are 4963/704,7460/2451
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 4963/704,7460/2451, numerators are 4963,7460
Denominators are 704,2451
The GCF of 4963,7460 is 1 .
LCM of 704,2451 is 1725504.
The greatest common factor of 4963/704,7460/2451 = [GCF of 4963,7460]/[LCM of 704,2451]= 1/1725504
Therefore, the GCF of 4963/704,7460/2451 is 1/1725504.
To find the highest common factor of 4963,7460, we have to find the factors of both numbers and list the highest common factor.
The factors of 4963 are 1, 7, 709, 4963
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The HCF of 4963,7460 is 1.
Lets's calculate GCF of 4963,7460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4963,7460 By Matching Biggest Common Factor Method
Now, list down the factors of 4963
:1,7,709,4963
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Greatest Common Factor
We found the factors 4963,7460 . The biggest common factor number is the GCF number.
So the greatest common factor 4963,7460 is 1.
Lets's calculate LCM of 704,2451
Given numbers has no common factors except 1. So, there LCM is their product i.e 1725504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1725504
Therefore, the GCF of Fractions 4963/704,7460/2451 is 1/1725504
Least Common Multiple of 704,2451 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 704,2451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,2451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,2451) x common factors =1 x 1 = 1
LCM(704,2451) = ( 704 × 2451 ) / 1
LCM(704,2451) = 1725504 / 1
LCM(704,2451) = 1725504
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FAQs on GCF of Fractions of 4963/704, 7460/2451
1. What is the HCF of 4963,7460?
The HCF of 4963,7460 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 4963/704, 7460/2451?
Answer: GCF of Numerators as per given numbers 4963/704, 7460/2451 is
GCF of Numerators i.e. for 4963,7460 is 1
LCM of denominators i.e. for 704,2451 is 1725504.
Thus, GCF of Fractions is 1/1725504.Finally, GCF of Fractions for 4963/704, 7460/2451 is 1/1725504.