GCF of 2544/457, 5965/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2544/457, 5965/769 i.e 1/351433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2544/457, 5965/769.
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 2544/457,5965/769?
Given fractions are 2544/457,5965/769
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 2544/457,5965/769, numerators are 2544,5965
Denominators are 457,769
The GCF of 2544,5965 is 1 .
LCM of 457,769 is 351433.
The greatest common factor of 2544/457,5965/769 = [GCF of 2544,5965]/[LCM of 457,769]= 1/351433
Therefore, the GCF of 2544/457,5965/769 is 1/351433.
To find the highest common factor of 2544,5965, we have to find the factors of both numbers and list the highest common factor.
The factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544
The factors of 5965 are 1, 5, 1193, 5965
The HCF of 2544,5965 is 1.
Lets's calculate GCF of 2544,5965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2544,5965 By Matching Biggest Common Factor Method
Now, list down the factors of 2544
:1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Now, list down the factors of 5965
:1,5,1193,5965
Greatest Common Factor
We found the factors 2544,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,5965 is 1.
Lets's calculate LCM of 457,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 351433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351433
Therefore, the GCF of Fractions 2544/457,5965/769 is 1/351433
Least Common Multiple of 457,769 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 457,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,769) x common factors =1 x 1 = 1
LCM(457,769) = ( 457 × 769 ) / 1
LCM(457,769) = 351433 / 1
LCM(457,769) = 351433
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FAQs on GCF of Fractions of 2544/457, 5965/769
1. What is the HCF of 2544,5965?
The HCF of 2544,5965 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 2544/457, 5965/769?
Answer: GCF of Numerators as per given numbers 2544/457, 5965/769 is
GCF of Numerators i.e. for 2544,5965 is 1
LCM of denominators i.e. for 457,769 is 351433.
Thus, GCF of Fractions is 1/351433.Finally, GCF of Fractions for 2544/457, 5965/769 is 1/351433.