GCF of 2493/777, 4557/3746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2493/777, 4557/3746 i.e 3/2910642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2493/777, 4557/3746.
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 2493/777,4557/3746?
Given fractions are 2493/777,4557/3746
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 2493/777,4557/3746, numerators are 2493,4557
Denominators are 777,3746
The GCF of 2493,4557 is 3 .
LCM of 777,3746 is 2910642.
The greatest common factor of 2493/777,4557/3746 = [GCF of 2493,4557]/[LCM of 777,3746]= 3/2910642
Therefore, the GCF of 2493/777,4557/3746 is 3/2910642.
To find the highest common factor of 2493,4557, we have to find the factors of both numbers and list the highest common factor.
The factors of 2493 are 1, 3, 9, 277, 831, 2493
The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The HCF of 2493,4557 is 3.
Lets's calculate GCF of 2493,4557
| 3 | 2493, 4557 |
| 831, 1519 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2493,4557 By Matching Biggest Common Factor Method
Now, list down the factors of 2493
:1,3,9,277,831,2493
Now, list down the factors of 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 2493,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 2493,4557 is 3.
Lets's calculate LCM of 777,3746
Given numbers has no common factors except 1. So, there LCM is their product i.e 2910642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2910642
Therefore, the GCF of Fractions 2493/777,4557/3746 is 3/2910642
Least Common Multiple of 777,3746 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 777,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,3746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,3746) x common factors =1 x 1 = 1
LCM(777,3746) = ( 777 × 3746 ) / 1
LCM(777,3746) = 2910642 / 1
LCM(777,3746) = 2910642
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FAQs on GCF of Fractions of 2493/777, 4557/3746
1. What is the HCF of 2493,4557?
The HCF of 2493,4557 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 2493/777, 4557/3746?
Answer: GCF of Numerators as per given numbers 2493/777, 4557/3746 is
GCF of Numerators i.e. for 2493,4557 is 3
LCM of denominators i.e. for 777,3746 is 2910642.
Thus, GCF of Fractions is 3/2910642.Finally, GCF of Fractions for 2493/777, 4557/3746 is 3/2910642.