GCF of 1542/105, 8701/2261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1542/105, 8701/2261 i.e 1/33915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1542/105, 8701/2261.
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 1542/105,8701/2261?
Given fractions are 1542/105,8701/2261
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 1542/105,8701/2261, numerators are 1542,8701
Denominators are 105,2261
The GCF of 1542,8701 is 1 .
LCM of 105,2261 is 33915.
The greatest common factor of 1542/105,8701/2261 = [GCF of 1542,8701]/[LCM of 105,2261]= 1/33915
Therefore, the GCF of 1542/105,8701/2261 is 1/33915.
To find the highest common factor of 1542,8701, we have to find the factors of both numbers and list the highest common factor.
The factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The HCF of 1542,8701 is 1.
Lets's calculate GCF of 1542,8701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1542,8701 By Matching Biggest Common Factor Method
Now, list down the factors of 1542
:1,2,3,6,257,514,771,1542
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Greatest Common Factor
We found the factors 1542,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 1542,8701 is 1.
Lets's calculate LCM of 105,2261
| 7 | 105, 2261 |
| 15, 323 |
∴ So the LCM of the given numbers is 7 x 15 x 323 = 33915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33915
Therefore, the GCF of Fractions 1542/105,8701/2261 is 1/33915
Least Common Multiple of 105,2261 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 105,2261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,2261) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(105,2261) x common factors =7 x 1 = 7
LCM(105,2261) = ( 105 × 2261 ) / 7
LCM(105,2261) = 237405 / 7
LCM(105,2261) = 33915
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FAQs on GCF of Fractions of 1542/105, 8701/2261
1. What is the HCF of 1542,8701?
The HCF of 1542,8701 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 1542/105, 8701/2261?
Answer: GCF of Numerators as per given numbers 1542/105, 8701/2261 is
GCF of Numerators i.e. for 1542,8701 is 1
LCM of denominators i.e. for 105,2261 is 33915.
Thus, GCF of Fractions is 1/33915.Finally, GCF of Fractions for 1542/105, 8701/2261 is 1/33915.