GCF of 4743/719, 6123/1766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4743/719, 6123/1766 i.e 3/1269754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4743/719, 6123/1766.
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 4743/719,6123/1766?
Given fractions are 4743/719,6123/1766
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 4743/719,6123/1766, numerators are 4743,6123
Denominators are 719,1766
The GCF of 4743,6123 is 3 .
LCM of 719,1766 is 1269754.
The greatest common factor of 4743/719,6123/1766 = [GCF of 4743,6123]/[LCM of 719,1766]= 3/1269754
Therefore, the GCF of 4743/719,6123/1766 is 3/1269754.
To find the highest common factor of 4743,6123, we have to find the factors of both numbers and list the highest common factor.
The factors of 4743 are 1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The HCF of 4743,6123 is 3.
Lets's calculate GCF of 4743,6123
| 3 | 4743, 6123 |
| 1581, 2041 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4743,6123 By Matching Biggest Common Factor Method
Now, list down the factors of 4743
:1,3,9,17,31,51,93,153,279,527,1581,4743
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Greatest Common Factor
We found the factors 4743,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 4743,6123 is 3.
Lets's calculate LCM of 719,1766
Given numbers has no common factors except 1. So, there LCM is their product i.e 1269754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1269754
Therefore, the GCF of Fractions 4743/719,6123/1766 is 3/1269754
Least Common Multiple of 719,1766 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 719,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,1766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,1766) x common factors =1 x 1 = 1
LCM(719,1766) = ( 719 × 1766 ) / 1
LCM(719,1766) = 1269754 / 1
LCM(719,1766) = 1269754
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FAQs on GCF of Fractions of 4743/719, 6123/1766
1. What is the HCF of 4743,6123?
The HCF of 4743,6123 is 3
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 4743/719, 6123/1766?
Answer: GCF of Numerators as per given numbers 4743/719, 6123/1766 is
GCF of Numerators i.e. for 4743,6123 is 3
LCM of denominators i.e. for 719,1766 is 1269754.
Thus, GCF of Fractions is 3/1269754.Finally, GCF of Fractions for 4743/719, 6123/1766 is 3/1269754.