GCF of 1586/993, 6647/7694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1586/993, 6647/7694 i.e 1/7640142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1586/993, 6647/7694.
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 1586/993,6647/7694?
Given fractions are 1586/993,6647/7694
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 1586/993,6647/7694, numerators are 1586,6647
Denominators are 993,7694
The GCF of 1586,6647 is 1 .
LCM of 993,7694 is 7640142.
The greatest common factor of 1586/993,6647/7694 = [GCF of 1586,6647]/[LCM of 993,7694]= 1/7640142
Therefore, the GCF of 1586/993,6647/7694 is 1/7640142.
To find the highest common factor of 1586,6647, we have to find the factors of both numbers and list the highest common factor.
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The factors of 6647 are 1, 17, 23, 289, 391, 6647
The HCF of 1586,6647 is 1.
Lets's calculate GCF of 1586,6647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1586,6647 By Matching Biggest Common Factor Method
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Now, list down the factors of 6647
:1,17,23,289,391,6647
Greatest Common Factor
We found the factors 1586,6647 . The biggest common factor number is the GCF number.
So the greatest common factor 1586,6647 is 1.
Lets's calculate LCM of 993,7694
Given numbers has no common factors except 1. So, there LCM is their product i.e 7640142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7640142
Therefore, the GCF of Fractions 1586/993,6647/7694 is 1/7640142
Least Common Multiple of 993,7694 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 993,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,7694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,7694) x common factors =1 x 1 = 1
LCM(993,7694) = ( 993 × 7694 ) / 1
LCM(993,7694) = 7640142 / 1
LCM(993,7694) = 7640142
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FAQs on GCF of Fractions of 1586/993, 6647/7694
1. What is the HCF of 1586,6647?
The HCF of 1586,6647 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 1586/993, 6647/7694?
Answer: GCF of Numerators as per given numbers 1586/993, 6647/7694 is
GCF of Numerators i.e. for 1586,6647 is 1
LCM of denominators i.e. for 993,7694 is 7640142.
Thus, GCF of Fractions is 1/7640142.Finally, GCF of Fractions for 1586/993, 6647/7694 is 1/7640142.