GCF of 4767/454, 2783/3244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4767/454, 2783/3244 i.e 1/736388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4767/454, 2783/3244.
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 4767/454,2783/3244?
Given fractions are 4767/454,2783/3244
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 4767/454,2783/3244, numerators are 4767,2783
Denominators are 454,3244
The GCF of 4767,2783 is 1 .
LCM of 454,3244 is 736388.
The greatest common factor of 4767/454,2783/3244 = [GCF of 4767,2783]/[LCM of 454,3244]= 1/736388
Therefore, the GCF of 4767/454,2783/3244 is 1/736388.
To find the highest common factor of 4767,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 4767,2783 is 1.
Lets's calculate GCF of 4767,2783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4767,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 4767
:1,3,7,21,227,681,1589,4767
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 4767,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 4767,2783 is 1.
Lets's calculate LCM of 454,3244
| 2 | 454, 3244 |
| 227, 1622 |
∴ So the LCM of the given numbers is 2 x 227 x 1622 = 736388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736388
Therefore, the GCF of Fractions 4767/454,2783/3244 is 1/736388
Least Common Multiple of 454,3244 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 454,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,3244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,3244) x common factors =2 x 1 = 2
LCM(454,3244) = ( 454 × 3244 ) / 2
LCM(454,3244) = 1472776 / 2
LCM(454,3244) = 736388
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FAQs on GCF of Fractions of 4767/454, 2783/3244
1. What is the HCF of 4767,2783?
The HCF of 4767,2783 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 4767/454, 2783/3244?
Answer: GCF of Numerators as per given numbers 4767/454, 2783/3244 is
GCF of Numerators i.e. for 4767,2783 is 1
LCM of denominators i.e. for 454,3244 is 736388.
Thus, GCF of Fractions is 1/736388.Finally, GCF of Fractions for 4767/454, 2783/3244 is 1/736388.