GCF of 1921/309, 6138/1951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1921/309, 6138/1951 i.e 1/602859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1921/309, 6138/1951.
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 1921/309,6138/1951?
Given fractions are 1921/309,6138/1951
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 1921/309,6138/1951, numerators are 1921,6138
Denominators are 309,1951
The GCF of 1921,6138 is 1 .
LCM of 309,1951 is 602859.
The greatest common factor of 1921/309,6138/1951 = [GCF of 1921,6138]/[LCM of 309,1951]= 1/602859
Therefore, the GCF of 1921/309,6138/1951 is 1/602859.
To find the highest common factor of 1921,6138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1921 are 1, 17, 113, 1921
The factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
The HCF of 1921,6138 is 1.
Lets's calculate GCF of 1921,6138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1921,6138 By Matching Biggest Common Factor Method
Now, list down the factors of 1921
:1,17,113,1921
Now, list down the factors of 6138
:1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 1921,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,6138 is 1.
Lets's calculate LCM of 309,1951
Given numbers has no common factors except 1. So, there LCM is their product i.e 602859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602859
Therefore, the GCF of Fractions 1921/309,6138/1951 is 1/602859
Least Common Multiple of 309,1951 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 309,1951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,1951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,1951) x common factors =1 x 1 = 1
LCM(309,1951) = ( 309 × 1951 ) / 1
LCM(309,1951) = 602859 / 1
LCM(309,1951) = 602859
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FAQs on GCF of Fractions of 1921/309, 6138/1951
1. What is the HCF of 1921,6138?
The HCF of 1921,6138 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 1921/309, 6138/1951?
Answer: GCF of Numerators as per given numbers 1921/309, 6138/1951 is
GCF of Numerators i.e. for 1921,6138 is 1
LCM of denominators i.e. for 309,1951 is 602859.
Thus, GCF of Fractions is 1/602859.Finally, GCF of Fractions for 1921/309, 6138/1951 is 1/602859.