GCF of 2171/198, 1945/6680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2171/198, 1945/6680 i.e 1/661320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2171/198, 1945/6680.
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 2171/198,1945/6680?
Given fractions are 2171/198,1945/6680
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 2171/198,1945/6680, numerators are 2171,1945
Denominators are 198,6680
The GCF of 2171,1945 is 1 .
LCM of 198,6680 is 661320.
The greatest common factor of 2171/198,1945/6680 = [GCF of 2171,1945]/[LCM of 198,6680]= 1/661320
Therefore, the GCF of 2171/198,1945/6680 is 1/661320.
To find the highest common factor of 2171,1945, 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 1945 are 1, 5, 389, 1945
The HCF of 2171,1945 is 1.
Lets's calculate GCF of 2171,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2171,1945 By Matching Biggest Common Factor Method
Now, list down the factors of 2171
:1,13,167,2171
Now, list down the factors of 1945
:1,5,389,1945
Greatest Common Factor
We found the factors 2171,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 2171,1945 is 1.
Lets's calculate LCM of 198,6680
| 2 | 198, 6680 |
| 99, 3340 |
∴ So the LCM of the given numbers is 2 x 99 x 3340 = 661320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661320
Therefore, the GCF of Fractions 2171/198,1945/6680 is 1/661320
Least Common Multiple of 198,6680 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 198,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,6680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,6680) x common factors =2 x 1 = 2
LCM(198,6680) = ( 198 × 6680 ) / 2
LCM(198,6680) = 1322640 / 2
LCM(198,6680) = 661320
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FAQs on GCF of Fractions of 2171/198, 1945/6680
1. What is the HCF of 2171,1945?
The HCF of 2171,1945 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 2171/198, 1945/6680?
Answer: GCF of Numerators as per given numbers 2171/198, 1945/6680 is
GCF of Numerators i.e. for 2171,1945 is 1
LCM of denominators i.e. for 198,6680 is 661320.
Thus, GCF of Fractions is 1/661320.Finally, GCF of Fractions for 2171/198, 1945/6680 is 1/661320.