GCF of 5969/783, 8166/7755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5969/783, 8166/7755 i.e 1/2024055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5969/783, 8166/7755.
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 5969/783,8166/7755?
Given fractions are 5969/783,8166/7755
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 5969/783,8166/7755, numerators are 5969,8166
Denominators are 783,7755
The GCF of 5969,8166 is 1 .
LCM of 783,7755 is 2024055.
The greatest common factor of 5969/783,8166/7755 = [GCF of 5969,8166]/[LCM of 783,7755]= 1/2024055
Therefore, the GCF of 5969/783,8166/7755 is 1/2024055.
To find the highest common factor of 5969,8166, we have to find the factors of both numbers and list the highest common factor.
The factors of 5969 are 1, 47, 127, 5969
The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166
The HCF of 5969,8166 is 1.
Lets's calculate GCF of 5969,8166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5969,8166 By Matching Biggest Common Factor Method
Now, list down the factors of 5969
:1,47,127,5969
Now, list down the factors of 8166
:1,2,3,6,1361,2722,4083,8166
Greatest Common Factor
We found the factors 5969,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 5969,8166 is 1.
Lets's calculate LCM of 783,7755
| 3 | 783, 7755 |
| 261, 2585 |
∴ So the LCM of the given numbers is 3 x 261 x 2585 = 2024055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2024055
Therefore, the GCF of Fractions 5969/783,8166/7755 is 1/2024055
Least Common Multiple of 783,7755 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 783,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,7755) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,7755) x common factors =3 x 1 = 3
LCM(783,7755) = ( 783 × 7755 ) / 3
LCM(783,7755) = 6072165 / 3
LCM(783,7755) = 2024055
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FAQs on GCF of Fractions of 5969/783, 8166/7755
1. What is the HCF of 5969,8166?
The HCF of 5969,8166 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 5969/783, 8166/7755?
Answer: GCF of Numerators as per given numbers 5969/783, 8166/7755 is
GCF of Numerators i.e. for 5969,8166 is 1
LCM of denominators i.e. for 783,7755 is 2024055.
Thus, GCF of Fractions is 1/2024055.Finally, GCF of Fractions for 5969/783, 8166/7755 is 1/2024055.