GCF of 1294/437, 7425/5136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1294/437, 7425/5136 i.e 1/2244432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1294/437, 7425/5136.
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 1294/437,7425/5136?
Given fractions are 1294/437,7425/5136
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 1294/437,7425/5136, numerators are 1294,7425
Denominators are 437,5136
The GCF of 1294,7425 is 1 .
LCM of 437,5136 is 2244432.
The greatest common factor of 1294/437,7425/5136 = [GCF of 1294,7425]/[LCM of 437,5136]= 1/2244432
Therefore, the GCF of 1294/437,7425/5136 is 1/2244432.
To find the highest common factor of 1294,7425, we have to find the factors of both numbers and list the highest common factor.
The factors of 1294 are 1, 2, 647, 1294
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The HCF of 1294,7425 is 1.
Lets's calculate GCF of 1294,7425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1294,7425 By Matching Biggest Common Factor Method
Now, list down the factors of 1294
:1,2,647,1294
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 1294,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 1294,7425 is 1.
Lets's calculate LCM of 437,5136
Given numbers has no common factors except 1. So, there LCM is their product i.e 2244432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2244432
Therefore, the GCF of Fractions 1294/437,7425/5136 is 1/2244432
Least Common Multiple of 437,5136 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 437,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,5136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,5136) x common factors =1 x 1 = 1
LCM(437,5136) = ( 437 × 5136 ) / 1
LCM(437,5136) = 2244432 / 1
LCM(437,5136) = 2244432
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FAQs on GCF of Fractions of 1294/437, 7425/5136
1. What is the HCF of 1294,7425?
The HCF of 1294,7425 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 1294/437, 7425/5136?
Answer: GCF of Numerators as per given numbers 1294/437, 7425/5136 is
GCF of Numerators i.e. for 1294,7425 is 1
LCM of denominators i.e. for 437,5136 is 2244432.
Thus, GCF of Fractions is 1/2244432.Finally, GCF of Fractions for 1294/437, 7425/5136 is 1/2244432.