GCF of 8541/237, 5407/5793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8541/237, 5407/5793 i.e 1/457647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8541/237, 5407/5793.
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 8541/237,5407/5793?
Given fractions are 8541/237,5407/5793
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 8541/237,5407/5793, numerators are 8541,5407
Denominators are 237,5793
The GCF of 8541,5407 is 1 .
LCM of 237,5793 is 457647.
The greatest common factor of 8541/237,5407/5793 = [GCF of 8541,5407]/[LCM of 237,5793]= 1/457647
Therefore, the GCF of 8541/237,5407/5793 is 1/457647.
To find the highest common factor of 8541,5407, we have to find the factors of both numbers and list the highest common factor.
The factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541
The factors of 5407 are 1, 5407
The HCF of 8541,5407 is 1.
Lets's calculate GCF of 8541,5407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8541,5407 By Matching Biggest Common Factor Method
Now, list down the factors of 8541
:1,3,9,13,39,73,117,219,657,949,2847,8541
Now, list down the factors of 5407
:1,5407
Greatest Common Factor
We found the factors 8541,5407 . The biggest common factor number is the GCF number.
So the greatest common factor 8541,5407 is 1.
Lets's calculate LCM of 237,5793
| 3 | 237, 5793 |
| 79, 1931 |
∴ So the LCM of the given numbers is 3 x 79 x 1931 = 457647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457647
Therefore, the GCF of Fractions 8541/237,5407/5793 is 1/457647
Least Common Multiple of 237,5793 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 237,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,5793) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,5793) x common factors =3 x 1 = 3
LCM(237,5793) = ( 237 × 5793 ) / 3
LCM(237,5793) = 1372941 / 3
LCM(237,5793) = 457647
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FAQs on GCF of Fractions of 8541/237, 5407/5793
1. What is the HCF of 8541,5407?
The HCF of 8541,5407 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 8541/237, 5407/5793?
Answer: GCF of Numerators as per given numbers 8541/237, 5407/5793 is
GCF of Numerators i.e. for 8541,5407 is 1
LCM of denominators i.e. for 237,5793 is 457647.
Thus, GCF of Fractions is 1/457647.Finally, GCF of Fractions for 8541/237, 5407/5793 is 1/457647.