GCF of 1541/274, 5283/2136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1541/274, 5283/2136 i.e 1/292632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/274, 5283/2136.
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 1541/274,5283/2136?
Given fractions are 1541/274,5283/2136
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 1541/274,5283/2136, numerators are 1541,5283
Denominators are 274,2136
The GCF of 1541,5283 is 1 .
LCM of 274,2136 is 292632.
The greatest common factor of 1541/274,5283/2136 = [GCF of 1541,5283]/[LCM of 274,2136]= 1/292632
Therefore, the GCF of 1541/274,5283/2136 is 1/292632.
To find the highest common factor of 1541,5283, 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 5283 are 1, 3, 9, 587, 1761, 5283
The HCF of 1541,5283 is 1.
Lets's calculate GCF of 1541,5283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1541,5283 By Matching Biggest Common Factor Method
Now, list down the factors of 1541
:1,23,67,1541
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Greatest Common Factor
We found the factors 1541,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,5283 is 1.
Lets's calculate LCM of 274,2136
| 2 | 274, 2136 |
| 137, 1068 |
∴ So the LCM of the given numbers is 2 x 137 x 1068 = 292632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292632
Therefore, the GCF of Fractions 1541/274,5283/2136 is 1/292632
Least Common Multiple of 274,2136 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 274,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,2136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,2136) x common factors =2 x 1 = 2
LCM(274,2136) = ( 274 × 2136 ) / 2
LCM(274,2136) = 585264 / 2
LCM(274,2136) = 292632
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FAQs on GCF of Fractions of 1541/274, 5283/2136
1. What is the HCF of 1541,5283?
The HCF of 1541,5283 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 1541/274, 5283/2136?
Answer: GCF of Numerators as per given numbers 1541/274, 5283/2136 is
GCF of Numerators i.e. for 1541,5283 is 1
LCM of denominators i.e. for 274,2136 is 292632.
Thus, GCF of Fractions is 1/292632.Finally, GCF of Fractions for 1541/274, 5283/2136 is 1/292632.