GCF of 3133/977, 8376/1345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3133/977, 8376/1345 i.e 1/1314065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3133/977, 8376/1345.
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 3133/977,8376/1345?
Given fractions are 3133/977,8376/1345
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 3133/977,8376/1345, numerators are 3133,8376
Denominators are 977,1345
The GCF of 3133,8376 is 1 .
LCM of 977,1345 is 1314065.
The greatest common factor of 3133/977,8376/1345 = [GCF of 3133,8376]/[LCM of 977,1345]= 1/1314065
Therefore, the GCF of 3133/977,8376/1345 is 1/1314065.
To find the highest common factor of 3133,8376, we have to find the factors of both numbers and list the highest common factor.
The factors of 3133 are 1, 13, 241, 3133
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The HCF of 3133,8376 is 1.
Lets's calculate GCF of 3133,8376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3133,8376 By Matching Biggest Common Factor Method
Now, list down the factors of 3133
:1,13,241,3133
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors 3133,8376 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,8376 is 1.
Lets's calculate LCM of 977,1345
Given numbers has no common factors except 1. So, there LCM is their product i.e 1314065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1314065
Therefore, the GCF of Fractions 3133/977,8376/1345 is 1/1314065
Least Common Multiple of 977,1345 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 977,1345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,1345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,1345) x common factors =1 x 1 = 1
LCM(977,1345) = ( 977 × 1345 ) / 1
LCM(977,1345) = 1314065 / 1
LCM(977,1345) = 1314065
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FAQs on GCF of Fractions of 3133/977, 8376/1345
1. What is the HCF of 3133,8376?
The HCF of 3133,8376 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 3133/977, 8376/1345?
Answer: GCF of Numerators as per given numbers 3133/977, 8376/1345 is
GCF of Numerators i.e. for 3133,8376 is 1
LCM of denominators i.e. for 977,1345 is 1314065.
Thus, GCF of Fractions is 1/1314065.Finally, GCF of Fractions for 3133/977, 8376/1345 is 1/1314065.