GCF of 9212/926, 2481/1753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9212/926, 2481/1753 i.e 1/1623278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9212/926, 2481/1753.
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 9212/926,2481/1753?
Given fractions are 9212/926,2481/1753
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 9212/926,2481/1753, numerators are 9212,2481
Denominators are 926,1753
The GCF of 9212,2481 is 1 .
LCM of 926,1753 is 1623278.
The greatest common factor of 9212/926,2481/1753 = [GCF of 9212,2481]/[LCM of 926,1753]= 1/1623278
Therefore, the GCF of 9212/926,2481/1753 is 1/1623278.
To find the highest common factor of 9212,2481, we have to find the factors of both numbers and list the highest common factor.
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The factors of 2481 are 1, 3, 827, 2481
The HCF of 9212,2481 is 1.
Lets's calculate GCF of 9212,2481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9212,2481 By Matching Biggest Common Factor Method
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Now, list down the factors of 2481
:1,3,827,2481
Greatest Common Factor
We found the factors 9212,2481 . The biggest common factor number is the GCF number.
So the greatest common factor 9212,2481 is 1.
Lets's calculate LCM of 926,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 1623278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1623278
Therefore, the GCF of Fractions 9212/926,2481/1753 is 1/1623278
Least Common Multiple of 926,1753 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 926,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,1753) x common factors =1 x 1 = 1
LCM(926,1753) = ( 926 × 1753 ) / 1
LCM(926,1753) = 1623278 / 1
LCM(926,1753) = 1623278
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FAQs on GCF of Fractions of 9212/926, 2481/1753
1. What is the HCF of 9212,2481?
The HCF of 9212,2481 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 9212/926, 2481/1753?
Answer: GCF of Numerators as per given numbers 9212/926, 2481/1753 is
GCF of Numerators i.e. for 9212,2481 is 1
LCM of denominators i.e. for 926,1753 is 1623278.
Thus, GCF of Fractions is 1/1623278.Finally, GCF of Fractions for 9212/926, 2481/1753 is 1/1623278.