GCF of 2413/159, 4732/5572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2413/159, 4732/5572 i.e 1/885948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2413/159, 4732/5572.
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 2413/159,4732/5572?
Given fractions are 2413/159,4732/5572
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 2413/159,4732/5572, numerators are 2413,4732
Denominators are 159,5572
The GCF of 2413,4732 is 1 .
LCM of 159,5572 is 885948.
The greatest common factor of 2413/159,4732/5572 = [GCF of 2413,4732]/[LCM of 159,5572]= 1/885948
Therefore, the GCF of 2413/159,4732/5572 is 1/885948.
To find the highest common factor of 2413,4732, we have to find the factors of both numbers and list the highest common factor.
The factors of 2413 are 1, 19, 127, 2413
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The HCF of 2413,4732 is 1.
Lets's calculate GCF of 2413,4732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2413,4732 By Matching Biggest Common Factor Method
Now, list down the factors of 2413
:1,19,127,2413
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
Greatest Common Factor
We found the factors 2413,4732 . The biggest common factor number is the GCF number.
So the greatest common factor 2413,4732 is 1.
Lets's calculate LCM of 159,5572
Given numbers has no common factors except 1. So, there LCM is their product i.e 885948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/885948
Therefore, the GCF of Fractions 2413/159,4732/5572 is 1/885948
Least Common Multiple of 159,5572 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 159,5572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,5572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,5572) x common factors =1 x 1 = 1
LCM(159,5572) = ( 159 × 5572 ) / 1
LCM(159,5572) = 885948 / 1
LCM(159,5572) = 885948
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FAQs on GCF of Fractions of 2413/159, 4732/5572
1. What is the HCF of 2413,4732?
The HCF of 2413,4732 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 2413/159, 4732/5572?
Answer: GCF of Numerators as per given numbers 2413/159, 4732/5572 is
GCF of Numerators i.e. for 2413,4732 is 1
LCM of denominators i.e. for 159,5572 is 885948.
Thus, GCF of Fractions is 1/885948.Finally, GCF of Fractions for 2413/159, 4732/5572 is 1/885948.