GCF of 3740/523, 2478/5631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3740/523, 2478/5631 i.e 2/2945013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3740/523, 2478/5631.
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 3740/523,2478/5631?
Given fractions are 3740/523,2478/5631
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 3740/523,2478/5631, numerators are 3740,2478
Denominators are 523,5631
The GCF of 3740,2478 is 2 .
LCM of 523,5631 is 2945013.
The greatest common factor of 3740/523,2478/5631 = [GCF of 3740,2478]/[LCM of 523,5631]= 2/2945013
Therefore, the GCF of 3740/523,2478/5631 is 2/2945013.
To find the highest common factor of 3740,2478, we have to find the factors of both numbers and list the highest common factor.
The factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The HCF of 3740,2478 is 2.
Lets's calculate GCF of 3740,2478
| 2 | 3740, 2478 |
| 1870, 1239 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3740,2478 By Matching Biggest Common Factor Method
Now, list down the factors of 3740
:1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Greatest Common Factor
We found the factors 3740,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 3740,2478 is 2.
Lets's calculate LCM of 523,5631
Given numbers has no common factors except 1. So, there LCM is their product i.e 2945013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2945013
Therefore, the GCF of Fractions 3740/523,2478/5631 is 2/2945013
Least Common Multiple of 523,5631 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 523,5631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,5631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,5631) x common factors =1 x 1 = 1
LCM(523,5631) = ( 523 × 5631 ) / 1
LCM(523,5631) = 2945013 / 1
LCM(523,5631) = 2945013
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FAQs on GCF of Fractions of 3740/523, 2478/5631
1. What is the HCF of 3740,2478?
The HCF of 3740,2478 is 2
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 3740/523, 2478/5631?
Answer: GCF of Numerators as per given numbers 3740/523, 2478/5631 is
GCF of Numerators i.e. for 3740,2478 is 2
LCM of denominators i.e. for 523,5631 is 2945013.
Thus, GCF of Fractions is 2/2945013.Finally, GCF of Fractions for 3740/523, 2478/5631 is 2/2945013.