GCF of 4787/667, 2712/9533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4787/667, 2712/9533 i.e 1/6358511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4787/667, 2712/9533.
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 4787/667,2712/9533?
Given fractions are 4787/667,2712/9533
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 4787/667,2712/9533, numerators are 4787,2712
Denominators are 667,9533
The GCF of 4787,2712 is 1 .
LCM of 667,9533 is 6358511.
The greatest common factor of 4787/667,2712/9533 = [GCF of 4787,2712]/[LCM of 667,9533]= 1/6358511
Therefore, the GCF of 4787/667,2712/9533 is 1/6358511.
To find the highest common factor of 4787,2712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4787 are 1, 4787
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The HCF of 4787,2712 is 1.
Lets's calculate GCF of 4787,2712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4787,2712 By Matching Biggest Common Factor Method
Now, list down the factors of 4787
:1,4787
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Greatest Common Factor
We found the factors 4787,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 4787,2712 is 1.
Lets's calculate LCM of 667,9533
Given numbers has no common factors except 1. So, there LCM is their product i.e 6358511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6358511
Therefore, the GCF of Fractions 4787/667,2712/9533 is 1/6358511
Least Common Multiple of 667,9533 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 667,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9533) x common factors =1 x 1 = 1
LCM(667,9533) = ( 667 × 9533 ) / 1
LCM(667,9533) = 6358511 / 1
LCM(667,9533) = 6358511
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FAQs on GCF of Fractions of 4787/667, 2712/9533
1. What is the HCF of 4787,2712?
The HCF of 4787,2712 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 4787/667, 2712/9533?
Answer: GCF of Numerators as per given numbers 4787/667, 2712/9533 is
GCF of Numerators i.e. for 4787,2712 is 1
LCM of denominators i.e. for 667,9533 is 6358511.
Thus, GCF of Fractions is 1/6358511.Finally, GCF of Fractions for 4787/667, 2712/9533 is 1/6358511.