GCF of 2623/128, 3702/6351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2623/128, 3702/6351 i.e 1/812928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2623/128, 3702/6351.
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 2623/128,3702/6351?
Given fractions are 2623/128,3702/6351
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 2623/128,3702/6351, numerators are 2623,3702
Denominators are 128,6351
The GCF of 2623,3702 is 1 .
LCM of 128,6351 is 812928.
The greatest common factor of 2623/128,3702/6351 = [GCF of 2623,3702]/[LCM of 128,6351]= 1/812928
Therefore, the GCF of 2623/128,3702/6351 is 1/812928.
To find the highest common factor of 2623,3702, we have to find the factors of both numbers and list the highest common factor.
The factors of 2623 are 1, 43, 61, 2623
The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702
The HCF of 2623,3702 is 1.
Lets's calculate GCF of 2623,3702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2623,3702 By Matching Biggest Common Factor Method
Now, list down the factors of 2623
:1,43,61,2623
Now, list down the factors of 3702
:1,2,3,6,617,1234,1851,3702
Greatest Common Factor
We found the factors 2623,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 2623,3702 is 1.
Lets's calculate LCM of 128,6351
Given numbers has no common factors except 1. So, there LCM is their product i.e 812928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812928
Therefore, the GCF of Fractions 2623/128,3702/6351 is 1/812928
Least Common Multiple of 128,6351 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 128,6351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6351) x common factors =1 x 1 = 1
LCM(128,6351) = ( 128 × 6351 ) / 1
LCM(128,6351) = 812928 / 1
LCM(128,6351) = 812928
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FAQs on GCF of Fractions of 2623/128, 3702/6351
1. What is the HCF of 2623,3702?
The HCF of 2623,3702 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 2623/128, 3702/6351?
Answer: GCF of Numerators as per given numbers 2623/128, 3702/6351 is
GCF of Numerators i.e. for 2623,3702 is 1
LCM of denominators i.e. for 128,6351 is 812928.
Thus, GCF of Fractions is 1/812928.Finally, GCF of Fractions for 2623/128, 3702/6351 is 1/812928.