GCF of 2169/671, 7836/3164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2169/671, 7836/3164 i.e 3/2123044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2169/671, 7836/3164.
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 2169/671,7836/3164?
Given fractions are 2169/671,7836/3164
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 2169/671,7836/3164, numerators are 2169,7836
Denominators are 671,3164
The GCF of 2169,7836 is 3 .
LCM of 671,3164 is 2123044.
The greatest common factor of 2169/671,7836/3164 = [GCF of 2169,7836]/[LCM of 671,3164]= 3/2123044
Therefore, the GCF of 2169/671,7836/3164 is 3/2123044.
To find the highest common factor of 2169,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 2169 are 1, 3, 9, 241, 723, 2169
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 2169,7836 is 3.
Lets's calculate GCF of 2169,7836
| 3 | 2169, 7836 |
| 723, 2612 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2169,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 2169
:1,3,9,241,723,2169
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 2169,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 2169,7836 is 3.
Lets's calculate LCM of 671,3164
Given numbers has no common factors except 1. So, there LCM is their product i.e 2123044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2123044
Therefore, the GCF of Fractions 2169/671,7836/3164 is 3/2123044
Least Common Multiple of 671,3164 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 671,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,3164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,3164) x common factors =1 x 1 = 1
LCM(671,3164) = ( 671 × 3164 ) / 1
LCM(671,3164) = 2123044 / 1
LCM(671,3164) = 2123044
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FAQs on GCF of Fractions of 2169/671, 7836/3164
1. What is the HCF of 2169,7836?
The HCF of 2169,7836 is 3
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 2169/671, 7836/3164?
Answer: GCF of Numerators as per given numbers 2169/671, 7836/3164 is
GCF of Numerators i.e. for 2169,7836 is 3
LCM of denominators i.e. for 671,3164 is 2123044.
Thus, GCF of Fractions is 3/2123044.Finally, GCF of Fractions for 2169/671, 7836/3164 is 3/2123044.