GCF of 1541/138, 1840/2641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1541/138, 1840/2641 i.e 23/364458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/138, 1840/2641.
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 1541/138,1840/2641?
Given fractions are 1541/138,1840/2641
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 1541/138,1840/2641, numerators are 1541,1840
Denominators are 138,2641
The GCF of 1541,1840 is 23 .
LCM of 138,2641 is 364458.
The greatest common factor of 1541/138,1840/2641 = [GCF of 1541,1840]/[LCM of 138,2641]= 23/364458
Therefore, the GCF of 1541/138,1840/2641 is 23/364458.
To find the highest common factor of 1541,1840, we have to find the factors of both numbers and list the highest common factor.
The factors of 1541 are 1, 23, 67, 1541
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The HCF of 1541,1840 is 23.
Lets's calculate GCF of 1541,1840
| 23 | 1541, 1840 |
| 67, 80 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1541,1840 By Matching Biggest Common Factor Method
Now, list down the factors of 1541
:1,23,67,1541
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 1541,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,1840 is 23.
Lets's calculate LCM of 138,2641
Given numbers has no common factors except 1. So, there LCM is their product i.e 364458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/364458
Therefore, the GCF of Fractions 1541/138,1840/2641 is 23/364458
Least Common Multiple of 138,2641 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 138,2641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,2641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,2641) x common factors =1 x 1 = 1
LCM(138,2641) = ( 138 × 2641 ) / 1
LCM(138,2641) = 364458 / 1
LCM(138,2641) = 364458
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FAQs on GCF of Fractions of 1541/138, 1840/2641
1. What is the HCF of 1541,1840?
The HCF of 1541,1840 is 23
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 1541/138, 1840/2641?
Answer: GCF of Numerators as per given numbers 1541/138, 1840/2641 is
GCF of Numerators i.e. for 1541,1840 is 23
LCM of denominators i.e. for 138,2641 is 364458.
Thus, GCF of Fractions is 23/364458.Finally, GCF of Fractions for 1541/138, 1840/2641 is 23/364458.