GCF of 9779/311, 8676/1005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9779/311, 8676/1005 i.e 1/312555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9779/311, 8676/1005.
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 9779/311,8676/1005?
Given fractions are 9779/311,8676/1005
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 9779/311,8676/1005, numerators are 9779,8676
Denominators are 311,1005
The GCF of 9779,8676 is 1 .
LCM of 311,1005 is 312555.
The greatest common factor of 9779/311,8676/1005 = [GCF of 9779,8676]/[LCM of 311,1005]= 1/312555
Therefore, the GCF of 9779/311,8676/1005 is 1/312555.
To find the highest common factor of 9779,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The HCF of 9779,8676 is 1.
Lets's calculate GCF of 9779,8676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9779,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 9779
:1,7,11,77,127,889,1397,9779
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Greatest Common Factor
We found the factors 9779,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 9779,8676 is 1.
Lets's calculate LCM of 311,1005
Given numbers has no common factors except 1. So, there LCM is their product i.e 312555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312555
Therefore, the GCF of Fractions 9779/311,8676/1005 is 1/312555
Least Common Multiple of 311,1005 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 311,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,1005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,1005) x common factors =1 x 1 = 1
LCM(311,1005) = ( 311 × 1005 ) / 1
LCM(311,1005) = 312555 / 1
LCM(311,1005) = 312555
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FAQs on GCF of Fractions of 9779/311, 8676/1005
1. What is the HCF of 9779,8676?
The HCF of 9779,8676 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 9779/311, 8676/1005?
Answer: GCF of Numerators as per given numbers 9779/311, 8676/1005 is
GCF of Numerators i.e. for 9779,8676 is 1
LCM of denominators i.e. for 311,1005 is 312555.
Thus, GCF of Fractions is 1/312555.Finally, GCF of Fractions for 9779/311, 8676/1005 is 1/312555.