GCF of 2171/358, 1326/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2171/358, 1326/877 i.e 13/313966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2171/358, 1326/877.
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 2171/358,1326/877?
Given fractions are 2171/358,1326/877
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 2171/358,1326/877, numerators are 2171,1326
Denominators are 358,877
The GCF of 2171,1326 is 13 .
LCM of 358,877 is 313966.
The greatest common factor of 2171/358,1326/877 = [GCF of 2171,1326]/[LCM of 358,877]= 13/313966
Therefore, the GCF of 2171/358,1326/877 is 13/313966.
To find the highest common factor of 2171,1326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2171 are 1, 13, 167, 2171
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The HCF of 2171,1326 is 13.
Lets's calculate GCF of 2171,1326
| 13 | 2171, 1326 |
| 167, 102 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2171,1326 By Matching Biggest Common Factor Method
Now, list down the factors of 2171
:1,13,167,2171
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 2171,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 2171,1326 is 13.
Lets's calculate LCM of 358,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 313966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/313966
Therefore, the GCF of Fractions 2171/358,1326/877 is 13/313966
Least Common Multiple of 358,877 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 358,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,877) x common factors =1 x 1 = 1
LCM(358,877) = ( 358 × 877 ) / 1
LCM(358,877) = 313966 / 1
LCM(358,877) = 313966
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FAQs on GCF of Fractions of 2171/358, 1326/877
1. What is the HCF of 2171,1326?
The HCF of 2171,1326 is 13
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 2171/358, 1326/877?
Answer: GCF of Numerators as per given numbers 2171/358, 1326/877 is
GCF of Numerators i.e. for 2171,1326 is 13
LCM of denominators i.e. for 358,877 is 313966.
Thus, GCF of Fractions is 13/313966.Finally, GCF of Fractions for 2171/358, 1326/877 is 13/313966.