GCF of 1147/524, 7764/3783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1147/524, 7764/3783 i.e 1/1982292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1147/524, 7764/3783.
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 1147/524,7764/3783?
Given fractions are 1147/524,7764/3783
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 1147/524,7764/3783, numerators are 1147,7764
Denominators are 524,3783
The GCF of 1147,7764 is 1 .
LCM of 524,3783 is 1982292.
The greatest common factor of 1147/524,7764/3783 = [GCF of 1147,7764]/[LCM of 524,3783]= 1/1982292
Therefore, the GCF of 1147/524,7764/3783 is 1/1982292.
To find the highest common factor of 1147,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1147 are 1, 31, 37, 1147
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 1147,7764 is 1.
Lets's calculate GCF of 1147,7764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1147,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 1147
:1,31,37,1147
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 1147,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 1147,7764 is 1.
Lets's calculate LCM of 524,3783
Given numbers has no common factors except 1. So, there LCM is their product i.e 1982292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1982292
Therefore, the GCF of Fractions 1147/524,7764/3783 is 1/1982292
Least Common Multiple of 524,3783 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 524,3783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,3783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,3783) x common factors =1 x 1 = 1
LCM(524,3783) = ( 524 × 3783 ) / 1
LCM(524,3783) = 1982292 / 1
LCM(524,3783) = 1982292
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FAQs on GCF of Fractions of 1147/524, 7764/3783
1. What is the HCF of 1147,7764?
The HCF of 1147,7764 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 1147/524, 7764/3783?
Answer: GCF of Numerators as per given numbers 1147/524, 7764/3783 is
GCF of Numerators i.e. for 1147,7764 is 1
LCM of denominators i.e. for 524,3783 is 1982292.
Thus, GCF of Fractions is 1/1982292.Finally, GCF of Fractions for 1147/524, 7764/3783 is 1/1982292.