GCF of 2092/388, 6651/1465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2092/388, 6651/1465 i.e 1/568420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2092/388, 6651/1465.
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 2092/388,6651/1465?
Given fractions are 2092/388,6651/1465
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 2092/388,6651/1465, numerators are 2092,6651
Denominators are 388,1465
The GCF of 2092,6651 is 1 .
LCM of 388,1465 is 568420.
The greatest common factor of 2092/388,6651/1465 = [GCF of 2092,6651]/[LCM of 388,1465]= 1/568420
Therefore, the GCF of 2092/388,6651/1465 is 1/568420.
To find the highest common factor of 2092,6651, we have to find the factors of both numbers and list the highest common factor.
The factors of 2092 are 1, 2, 4, 523, 1046, 2092
The factors of 6651 are 1, 3, 9, 739, 2217, 6651
The HCF of 2092,6651 is 1.
Lets's calculate GCF of 2092,6651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2092,6651 By Matching Biggest Common Factor Method
Now, list down the factors of 2092
:1,2,4,523,1046,2092
Now, list down the factors of 6651
:1,3,9,739,2217,6651
Greatest Common Factor
We found the factors 2092,6651 . The biggest common factor number is the GCF number.
So the greatest common factor 2092,6651 is 1.
Lets's calculate LCM of 388,1465
Given numbers has no common factors except 1. So, there LCM is their product i.e 568420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568420
Therefore, the GCF of Fractions 2092/388,6651/1465 is 1/568420
Least Common Multiple of 388,1465 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 388,1465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,1465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,1465) x common factors =1 x 1 = 1
LCM(388,1465) = ( 388 × 1465 ) / 1
LCM(388,1465) = 568420 / 1
LCM(388,1465) = 568420
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FAQs on GCF of Fractions of 2092/388, 6651/1465
1. What is the HCF of 2092,6651?
The HCF of 2092,6651 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 2092/388, 6651/1465?
Answer: GCF of Numerators as per given numbers 2092/388, 6651/1465 is
GCF of Numerators i.e. for 2092,6651 is 1
LCM of denominators i.e. for 388,1465 is 568420.
Thus, GCF of Fractions is 1/568420.Finally, GCF of Fractions for 2092/388, 6651/1465 is 1/568420.