GCF of 3115/143, 8277/8744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3115/143, 8277/8744 i.e 89/1250392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3115/143, 8277/8744.
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 3115/143,8277/8744?
Given fractions are 3115/143,8277/8744
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 3115/143,8277/8744, numerators are 3115,8277
Denominators are 143,8744
The GCF of 3115,8277 is 89 .
LCM of 143,8744 is 1250392.
The greatest common factor of 3115/143,8277/8744 = [GCF of 3115,8277]/[LCM of 143,8744]= 89/1250392
Therefore, the GCF of 3115/143,8277/8744 is 89/1250392.
To find the highest common factor of 3115,8277, we have to find the factors of both numbers and list the highest common factor.
The factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The HCF of 3115,8277 is 89.
Lets's calculate GCF of 3115,8277
| 89 | 3115, 8277 |
| 35, 93 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 3115,8277 By Matching Biggest Common Factor Method
Now, list down the factors of 3115
:1,5,7,35,89,445,623,3115
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 3115,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 3115,8277 is 89.
Lets's calculate LCM of 143,8744
Given numbers has no common factors except 1. So, there LCM is their product i.e 1250392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/1250392
Therefore, the GCF of Fractions 3115/143,8277/8744 is 89/1250392
Least Common Multiple of 143,8744 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 143,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,8744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,8744) x common factors =1 x 1 = 1
LCM(143,8744) = ( 143 × 8744 ) / 1
LCM(143,8744) = 1250392 / 1
LCM(143,8744) = 1250392
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FAQs on GCF of Fractions of 3115/143, 8277/8744
1. What is the HCF of 3115,8277?
The HCF of 3115,8277 is 89
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 3115/143, 8277/8744?
Answer: GCF of Numerators as per given numbers 3115/143, 8277/8744 is
GCF of Numerators i.e. for 3115,8277 is 89
LCM of denominators i.e. for 143,8744 is 1250392.
Thus, GCF of Fractions is 89/1250392.Finally, GCF of Fractions for 3115/143, 8277/8744 is 89/1250392.