GCF of 3581/556, 8973/7302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3581/556, 8973/7302 i.e 1/2029956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3581/556, 8973/7302.
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 3581/556,8973/7302?
Given fractions are 3581/556,8973/7302
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 3581/556,8973/7302, numerators are 3581,8973
Denominators are 556,7302
The GCF of 3581,8973 is 1 .
LCM of 556,7302 is 2029956.
The greatest common factor of 3581/556,8973/7302 = [GCF of 3581,8973]/[LCM of 556,7302]= 1/2029956
Therefore, the GCF of 3581/556,8973/7302 is 1/2029956.
To find the highest common factor of 3581,8973, we have to find the factors of both numbers and list the highest common factor.
The factors of 3581 are 1, 3581
The factors of 8973 are 1, 3, 9, 997, 2991, 8973
The HCF of 3581,8973 is 1.
Lets's calculate GCF of 3581,8973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3581,8973 By Matching Biggest Common Factor Method
Now, list down the factors of 3581
:1,3581
Now, list down the factors of 8973
:1,3,9,997,2991,8973
Greatest Common Factor
We found the factors 3581,8973 . The biggest common factor number is the GCF number.
So the greatest common factor 3581,8973 is 1.
Lets's calculate LCM of 556,7302
| 2 | 556, 7302 |
| 278, 3651 |
∴ So the LCM of the given numbers is 2 x 278 x 3651 = 2029956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2029956
Therefore, the GCF of Fractions 3581/556,8973/7302 is 1/2029956
Least Common Multiple of 556,7302 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 556,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,7302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(556,7302) x common factors =2 x 1 = 2
LCM(556,7302) = ( 556 × 7302 ) / 2
LCM(556,7302) = 4059912 / 2
LCM(556,7302) = 2029956
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FAQs on GCF of Fractions of 3581/556, 8973/7302
1. What is the HCF of 3581,8973?
The HCF of 3581,8973 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 3581/556, 8973/7302?
Answer: GCF of Numerators as per given numbers 3581/556, 8973/7302 is
GCF of Numerators i.e. for 3581,8973 is 1
LCM of denominators i.e. for 556,7302 is 2029956.
Thus, GCF of Fractions is 1/2029956.Finally, GCF of Fractions for 3581/556, 8973/7302 is 1/2029956.