GCF of 7643/123, 3892/3477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7643/123, 3892/3477 i.e 1/142557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7643/123, 3892/3477.
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 7643/123,3892/3477?
Given fractions are 7643/123,3892/3477
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 7643/123,3892/3477, numerators are 7643,3892
Denominators are 123,3477
The GCF of 7643,3892 is 1 .
LCM of 123,3477 is 142557.
The greatest common factor of 7643/123,3892/3477 = [GCF of 7643,3892]/[LCM of 123,3477]= 1/142557
Therefore, the GCF of 7643/123,3892/3477 is 1/142557.
To find the highest common factor of 7643,3892, we have to find the factors of both numbers and list the highest common factor.
The factors of 7643 are 1, 7643
The factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892
The HCF of 7643,3892 is 1.
Lets's calculate GCF of 7643,3892
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7643,3892 By Matching Biggest Common Factor Method
Now, list down the factors of 7643
:1,7643
Now, list down the factors of 3892
:1,2,4,7,14,28,139,278,556,973,1946,3892
Greatest Common Factor
We found the factors 7643,3892 . The biggest common factor number is the GCF number.
So the greatest common factor 7643,3892 is 1.
Lets's calculate LCM of 123,3477
| 3 | 123, 3477 |
| 41, 1159 |
∴ So the LCM of the given numbers is 3 x 41 x 1159 = 142557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142557
Therefore, the GCF of Fractions 7643/123,3892/3477 is 1/142557
Least Common Multiple of 123,3477 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 123,3477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,3477) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,3477) x common factors =3 x 1 = 3
LCM(123,3477) = ( 123 × 3477 ) / 3
LCM(123,3477) = 427671 / 3
LCM(123,3477) = 142557
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FAQs on GCF of Fractions of 7643/123, 3892/3477
1. What is the HCF of 7643,3892?
The HCF of 7643,3892 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 7643/123, 3892/3477?
Answer: GCF of Numerators as per given numbers 7643/123, 3892/3477 is
GCF of Numerators i.e. for 7643,3892 is 1
LCM of denominators i.e. for 123,3477 is 142557.
Thus, GCF of Fractions is 1/142557.Finally, GCF of Fractions for 7643/123, 3892/3477 is 1/142557.