GCF of 2132/701, 2305/9644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2132/701, 2305/9644 i.e 1/6760444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2132/701, 2305/9644.
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 2132/701,2305/9644?
Given fractions are 2132/701,2305/9644
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 2132/701,2305/9644, numerators are 2132,2305
Denominators are 701,9644
The GCF of 2132,2305 is 1 .
LCM of 701,9644 is 6760444.
The greatest common factor of 2132/701,2305/9644 = [GCF of 2132,2305]/[LCM of 701,9644]= 1/6760444
Therefore, the GCF of 2132/701,2305/9644 is 1/6760444.
To find the highest common factor of 2132,2305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The factors of 2305 are 1, 5, 461, 2305
The HCF of 2132,2305 is 1.
Lets's calculate GCF of 2132,2305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2132,2305 By Matching Biggest Common Factor Method
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Now, list down the factors of 2305
:1,5,461,2305
Greatest Common Factor
We found the factors 2132,2305 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,2305 is 1.
Lets's calculate LCM of 701,9644
Given numbers has no common factors except 1. So, there LCM is their product i.e 6760444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6760444
Therefore, the GCF of Fractions 2132/701,2305/9644 is 1/6760444
Least Common Multiple of 701,9644 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 701,9644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,9644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,9644) x common factors =1 x 1 = 1
LCM(701,9644) = ( 701 × 9644 ) / 1
LCM(701,9644) = 6760444 / 1
LCM(701,9644) = 6760444
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FAQs on GCF of Fractions of 2132/701, 2305/9644
1. What is the HCF of 2132,2305?
The HCF of 2132,2305 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 2132/701, 2305/9644?
Answer: GCF of Numerators as per given numbers 2132/701, 2305/9644 is
GCF of Numerators i.e. for 2132,2305 is 1
LCM of denominators i.e. for 701,9644 is 6760444.
Thus, GCF of Fractions is 1/6760444.Finally, GCF of Fractions for 2132/701, 2305/9644 is 1/6760444.