GCF of 8977/167, 2945/8183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8977/167, 2945/8183 i.e 1/8183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8977/167, 2945/8183.
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 8977/167,2945/8183?
Given fractions are 8977/167,2945/8183
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 8977/167,2945/8183, numerators are 8977,2945
Denominators are 167,8183
The GCF of 8977,2945 is 1 .
LCM of 167,8183 is 8183.
The greatest common factor of 8977/167,2945/8183 = [GCF of 8977,2945]/[LCM of 167,8183]= 1/8183
Therefore, the GCF of 8977/167,2945/8183 is 1/8183.
To find the highest common factor of 8977,2945, we have to find the factors of both numbers and list the highest common factor.
The factors of 8977 are 1, 47, 191, 8977
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The HCF of 8977,2945 is 1.
Lets's calculate GCF of 8977,2945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8977,2945 By Matching Biggest Common Factor Method
Now, list down the factors of 8977
:1,47,191,8977
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Greatest Common Factor
We found the factors 8977,2945 . The biggest common factor number is the GCF number.
So the greatest common factor 8977,2945 is 1.
Lets's calculate LCM of 167,8183
| 167 | 167, 8183 |
| 1, 49 |
∴ So the LCM of the given numbers is 167 x 1 x 49 = 8183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8183
Therefore, the GCF of Fractions 8977/167,2945/8183 is 1/8183
Least Common Multiple of 167,8183 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 167,8183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,8183) = 167
common factors(in case of two or more numbers have common factors) = 1
GCF(167,8183) x common factors =167 x 1 = 167
LCM(167,8183) = ( 167 × 8183 ) / 167
LCM(167,8183) = 1366561 / 167
LCM(167,8183) = 8183
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FAQs on GCF of Fractions of 8977/167, 2945/8183
1. What is the HCF of 8977,2945?
The HCF of 8977,2945 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 8977/167, 2945/8183?
Answer: GCF of Numerators as per given numbers 8977/167, 2945/8183 is
GCF of Numerators i.e. for 8977,2945 is 1
LCM of denominators i.e. for 167,8183 is 8183.
Thus, GCF of Fractions is 1/8183.Finally, GCF of Fractions for 8977/167, 2945/8183 is 1/8183.