GCF of 4732/639, 7249/9637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/639, 7249/9637 i.e 1/6158043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/639, 7249/9637.
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 4732/639,7249/9637?
Given fractions are 4732/639,7249/9637
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 4732/639,7249/9637, numerators are 4732,7249
Denominators are 639,9637
The GCF of 4732,7249 is 1 .
LCM of 639,9637 is 6158043.
The greatest common factor of 4732/639,7249/9637 = [GCF of 4732,7249]/[LCM of 639,9637]= 1/6158043
Therefore, the GCF of 4732/639,7249/9637 is 1/6158043.
To find the highest common factor of 4732,7249, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 7249 are 1, 11, 659, 7249
The HCF of 4732,7249 is 1.
Lets's calculate GCF of 4732,7249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4732,7249 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 7249
:1,11,659,7249
Greatest Common Factor
We found the factors 4732,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,7249 is 1.
Lets's calculate LCM of 639,9637
Given numbers has no common factors except 1. So, there LCM is their product i.e 6158043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6158043
Therefore, the GCF of Fractions 4732/639,7249/9637 is 1/6158043
Least Common Multiple of 639,9637 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 639,9637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,9637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,9637) x common factors =1 x 1 = 1
LCM(639,9637) = ( 639 × 9637 ) / 1
LCM(639,9637) = 6158043 / 1
LCM(639,9637) = 6158043
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FAQs on GCF of Fractions of 4732/639, 7249/9637
1. What is the HCF of 4732,7249?
The HCF of 4732,7249 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 4732/639, 7249/9637?
Answer: GCF of Numerators as per given numbers 4732/639, 7249/9637 is
GCF of Numerators i.e. for 4732,7249 is 1
LCM of denominators i.e. for 639,9637 is 6158043.
Thus, GCF of Fractions is 1/6158043.Finally, GCF of Fractions for 4732/639, 7249/9637 is 1/6158043.