GCF of 8561/399, 2500/5601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8561/399, 2500/5601 i.e 1/744933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8561/399, 2500/5601.
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 8561/399,2500/5601?
Given fractions are 8561/399,2500/5601
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 8561/399,2500/5601, numerators are 8561,2500
Denominators are 399,5601
The GCF of 8561,2500 is 1 .
LCM of 399,5601 is 744933.
The greatest common factor of 8561/399,2500/5601 = [GCF of 8561,2500]/[LCM of 399,5601]= 1/744933
Therefore, the GCF of 8561/399,2500/5601 is 1/744933.
To find the highest common factor of 8561,2500, we have to find the factors of both numbers and list the highest common factor.
The factors of 8561 are 1, 7, 1223, 8561
The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500
The HCF of 8561,2500 is 1.
Lets's calculate GCF of 8561,2500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8561,2500 By Matching Biggest Common Factor Method
Now, list down the factors of 8561
:1,7,1223,8561
Now, list down the factors of 2500
:1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500
Greatest Common Factor
We found the factors 8561,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 8561,2500 is 1.
Lets's calculate LCM of 399,5601
| 3 | 399, 5601 |
| 133, 1867 |
∴ So the LCM of the given numbers is 3 x 133 x 1867 = 744933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744933
Therefore, the GCF of Fractions 8561/399,2500/5601 is 1/744933
Least Common Multiple of 399,5601 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 399,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,5601) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,5601) x common factors =3 x 1 = 3
LCM(399,5601) = ( 399 × 5601 ) / 3
LCM(399,5601) = 2234799 / 3
LCM(399,5601) = 744933
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FAQs on GCF of Fractions of 8561/399, 2500/5601
1. What is the HCF of 8561,2500?
The HCF of 8561,2500 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 8561/399, 2500/5601?
Answer: GCF of Numerators as per given numbers 8561/399, 2500/5601 is
GCF of Numerators i.e. for 8561,2500 is 1
LCM of denominators i.e. for 399,5601 is 744933.
Thus, GCF of Fractions is 1/744933.Finally, GCF of Fractions for 8561/399, 2500/5601 is 1/744933.