GCF of 7403/221, 6410/5305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7403/221, 6410/5305 i.e 1/1172405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7403/221, 6410/5305.
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 7403/221,6410/5305?
Given fractions are 7403/221,6410/5305
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 7403/221,6410/5305, numerators are 7403,6410
Denominators are 221,5305
The GCF of 7403,6410 is 1 .
LCM of 221,5305 is 1172405.
The greatest common factor of 7403/221,6410/5305 = [GCF of 7403,6410]/[LCM of 221,5305]= 1/1172405
Therefore, the GCF of 7403/221,6410/5305 is 1/1172405.
To find the highest common factor of 7403,6410, we have to find the factors of both numbers and list the highest common factor.
The factors of 7403 are 1, 11, 673, 7403
The factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410
The HCF of 7403,6410 is 1.
Lets's calculate GCF of 7403,6410
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7403,6410 By Matching Biggest Common Factor Method
Now, list down the factors of 7403
:1,11,673,7403
Now, list down the factors of 6410
:1,2,5,10,641,1282,3205,6410
Greatest Common Factor
We found the factors 7403,6410 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,6410 is 1.
Lets's calculate LCM of 221,5305
Given numbers has no common factors except 1. So, there LCM is their product i.e 1172405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1172405
Therefore, the GCF of Fractions 7403/221,6410/5305 is 1/1172405
Least Common Multiple of 221,5305 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 221,5305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,5305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,5305) x common factors =1 x 1 = 1
LCM(221,5305) = ( 221 × 5305 ) / 1
LCM(221,5305) = 1172405 / 1
LCM(221,5305) = 1172405
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FAQs on GCF of Fractions of 7403/221, 6410/5305
1. What is the HCF of 7403,6410?
The HCF of 7403,6410 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 7403/221, 6410/5305?
Answer: GCF of Numerators as per given numbers 7403/221, 6410/5305 is
GCF of Numerators i.e. for 7403,6410 is 1
LCM of denominators i.e. for 221,5305 is 1172405.
Thus, GCF of Fractions is 1/1172405.Finally, GCF of Fractions for 7403/221, 6410/5305 is 1/1172405.