GCF of 4713/456, 2648/2612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4713/456, 2648/2612 i.e 1/297768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4713/456, 2648/2612.
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 4713/456,2648/2612?
Given fractions are 4713/456,2648/2612
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 4713/456,2648/2612, numerators are 4713,2648
Denominators are 456,2612
The GCF of 4713,2648 is 1 .
LCM of 456,2612 is 297768.
The greatest common factor of 4713/456,2648/2612 = [GCF of 4713,2648]/[LCM of 456,2612]= 1/297768
Therefore, the GCF of 4713/456,2648/2612 is 1/297768.
To find the highest common factor of 4713,2648, we have to find the factors of both numbers and list the highest common factor.
The factors of 4713 are 1, 3, 1571, 4713
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The HCF of 4713,2648 is 1.
Lets's calculate GCF of 4713,2648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4713,2648 By Matching Biggest Common Factor Method
Now, list down the factors of 4713
:1,3,1571,4713
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Greatest Common Factor
We found the factors 4713,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 4713,2648 is 1.
Lets's calculate LCM of 456,2612
| 2 | 456, 2612 |
| 2 | 228, 1306 |
| 114, 653 |
∴ So the LCM of the given numbers is 2 x 2 x 114 x 653 = 297768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297768
Therefore, the GCF of Fractions 4713/456,2648/2612 is 1/297768
Least Common Multiple of 456,2612 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 456,2612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,2612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(456,2612) x common factors =4 x 1 = 4
LCM(456,2612) = ( 456 × 2612 ) / 4
LCM(456,2612) = 1191072 / 4
LCM(456,2612) = 297768
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FAQs on GCF of Fractions of 4713/456, 2648/2612
1. What is the HCF of 4713,2648?
The HCF of 4713,2648 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 4713/456, 2648/2612?
Answer: GCF of Numerators as per given numbers 4713/456, 2648/2612 is
GCF of Numerators i.e. for 4713,2648 is 1
LCM of denominators i.e. for 456,2612 is 297768.
Thus, GCF of Fractions is 1/297768.Finally, GCF of Fractions for 4713/456, 2648/2612 is 1/297768.