GCF of 1901/243, 7416/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1901/243, 7416/932 i.e 1/226476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1901/243, 7416/932.
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 1901/243,7416/932?
Given fractions are 1901/243,7416/932
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 1901/243,7416/932, numerators are 1901,7416
Denominators are 243,932
The GCF of 1901,7416 is 1 .
LCM of 243,932 is 226476.
The greatest common factor of 1901/243,7416/932 = [GCF of 1901,7416]/[LCM of 243,932]= 1/226476
Therefore, the GCF of 1901/243,7416/932 is 1/226476.
To find the highest common factor of 1901,7416, we have to find the factors of both numbers and list the highest common factor.
The factors of 1901 are 1, 1901
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 1901,7416 is 1.
Lets's calculate GCF of 1901,7416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1901,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 1901
:1,1901
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 1901,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 1901,7416 is 1.
Lets's calculate LCM of 243,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 226476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226476
Therefore, the GCF of Fractions 1901/243,7416/932 is 1/226476
Least Common Multiple of 243,932 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 243,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,932) x common factors =1 x 1 = 1
LCM(243,932) = ( 243 × 932 ) / 1
LCM(243,932) = 226476 / 1
LCM(243,932) = 226476
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FAQs on GCF of Fractions of 1901/243, 7416/932
1. What is the HCF of 1901,7416?
The HCF of 1901,7416 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 1901/243, 7416/932?
Answer: GCF of Numerators as per given numbers 1901/243, 7416/932 is
GCF of Numerators i.e. for 1901,7416 is 1
LCM of denominators i.e. for 243,932 is 226476.
Thus, GCF of Fractions is 1/226476.Finally, GCF of Fractions for 1901/243, 7416/932 is 1/226476.