GCF of 8596/586, 8664/7891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8596/586, 8664/7891 i.e 4/4624126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8596/586, 8664/7891.
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 8596/586,8664/7891?
Given fractions are 8596/586,8664/7891
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 8596/586,8664/7891, numerators are 8596,8664
Denominators are 586,7891
The GCF of 8596,8664 is 4 .
LCM of 586,7891 is 4624126.
The greatest common factor of 8596/586,8664/7891 = [GCF of 8596,8664]/[LCM of 586,7891]= 4/4624126
Therefore, the GCF of 8596/586,8664/7891 is 4/4624126.
To find the highest common factor of 8596,8664, we have to find the factors of both numbers and list the highest common factor.
The factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The HCF of 8596,8664 is 4.
Lets's calculate GCF of 8596,8664
| 2 | 8596, 8664 |
| 2 | 4298, 4332 |
| 2149, 2166 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8596,8664 By Matching Biggest Common Factor Method
Now, list down the factors of 8596
:1,2,4,7,14,28,307,614,1228,2149,4298,8596
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 8596,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 8596,8664 is 4.
Lets's calculate LCM of 586,7891
Given numbers has no common factors except 1. So, there LCM is their product i.e 4624126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4624126
Therefore, the GCF of Fractions 8596/586,8664/7891 is 4/4624126
Least Common Multiple of 586,7891 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 586,7891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,7891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,7891) x common factors =1 x 1 = 1
LCM(586,7891) = ( 586 × 7891 ) / 1
LCM(586,7891) = 4624126 / 1
LCM(586,7891) = 4624126
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FAQs on GCF of Fractions of 8596/586, 8664/7891
1. What is the HCF of 8596,8664?
The HCF of 8596,8664 is 4
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 8596/586, 8664/7891?
Answer: GCF of Numerators as per given numbers 8596/586, 8664/7891 is
GCF of Numerators i.e. for 8596,8664 is 4
LCM of denominators i.e. for 586,7891 is 4624126.
Thus, GCF of Fractions is 4/4624126.Finally, GCF of Fractions for 8596/586, 8664/7891 is 4/4624126.