GCF of 2458/744, 1561/4065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2458/744, 1561/4065 i.e 1/1008120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2458/744, 1561/4065.
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 2458/744,1561/4065?
Given fractions are 2458/744,1561/4065
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 2458/744,1561/4065, numerators are 2458,1561
Denominators are 744,4065
The GCF of 2458,1561 is 1 .
LCM of 744,4065 is 1008120.
The greatest common factor of 2458/744,1561/4065 = [GCF of 2458,1561]/[LCM of 744,4065]= 1/1008120
Therefore, the GCF of 2458/744,1561/4065 is 1/1008120.
To find the highest common factor of 2458,1561, we have to find the factors of both numbers and list the highest common factor.
The factors of 2458 are 1, 2, 1229, 2458
The factors of 1561 are 1, 7, 223, 1561
The HCF of 2458,1561 is 1.
Lets's calculate GCF of 2458,1561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2458,1561 By Matching Biggest Common Factor Method
Now, list down the factors of 2458
:1,2,1229,2458
Now, list down the factors of 1561
:1,7,223,1561
Greatest Common Factor
We found the factors 2458,1561 . The biggest common factor number is the GCF number.
So the greatest common factor 2458,1561 is 1.
Lets's calculate LCM of 744,4065
| 3 | 744, 4065 |
| 248, 1355 |
∴ So the LCM of the given numbers is 3 x 248 x 1355 = 1008120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008120
Therefore, the GCF of Fractions 2458/744,1561/4065 is 1/1008120
Least Common Multiple of 744,4065 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 744,4065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,4065) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(744,4065) x common factors =3 x 1 = 3
LCM(744,4065) = ( 744 × 4065 ) / 3
LCM(744,4065) = 3024360 / 3
LCM(744,4065) = 1008120
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FAQs on GCF of Fractions of 2458/744, 1561/4065
1. What is the HCF of 2458,1561?
The HCF of 2458,1561 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 2458/744, 1561/4065?
Answer: GCF of Numerators as per given numbers 2458/744, 1561/4065 is
GCF of Numerators i.e. for 2458,1561 is 1
LCM of denominators i.e. for 744,4065 is 1008120.
Thus, GCF of Fractions is 1/1008120.Finally, GCF of Fractions for 2458/744, 1561/4065 is 1/1008120.