GCF of 8557/371, 1569/5677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8557/371, 1569/5677 i.e 1/300881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8557/371, 1569/5677.
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 8557/371,1569/5677?
Given fractions are 8557/371,1569/5677
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 8557/371,1569/5677, numerators are 8557,1569
Denominators are 371,5677
The GCF of 8557,1569 is 1 .
LCM of 371,5677 is 300881.
The greatest common factor of 8557/371,1569/5677 = [GCF of 8557,1569]/[LCM of 371,5677]= 1/300881
Therefore, the GCF of 8557/371,1569/5677 is 1/300881.
To find the highest common factor of 8557,1569, we have to find the factors of both numbers and list the highest common factor.
The factors of 8557 are 1, 43, 199, 8557
The factors of 1569 are 1, 3, 523, 1569
The HCF of 8557,1569 is 1.
Lets's calculate GCF of 8557,1569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8557,1569 By Matching Biggest Common Factor Method
Now, list down the factors of 8557
:1,43,199,8557
Now, list down the factors of 1569
:1,3,523,1569
Greatest Common Factor
We found the factors 8557,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 8557,1569 is 1.
Lets's calculate LCM of 371,5677
| 7 | 371, 5677 |
| 53, 811 |
∴ So the LCM of the given numbers is 7 x 53 x 811 = 300881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300881
Therefore, the GCF of Fractions 8557/371,1569/5677 is 1/300881
Least Common Multiple of 371,5677 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 371,5677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,5677) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(371,5677) x common factors =7 x 1 = 7
LCM(371,5677) = ( 371 × 5677 ) / 7
LCM(371,5677) = 2106167 / 7
LCM(371,5677) = 300881
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FAQs on GCF of Fractions of 8557/371, 1569/5677
1. What is the HCF of 8557,1569?
The HCF of 8557,1569 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 8557/371, 1569/5677?
Answer: GCF of Numerators as per given numbers 8557/371, 1569/5677 is
GCF of Numerators i.e. for 8557,1569 is 1
LCM of denominators i.e. for 371,5677 is 300881.
Thus, GCF of Fractions is 1/300881.Finally, GCF of Fractions for 8557/371, 1569/5677 is 1/300881.