GCF of 8794/487, 3724/4077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8794/487, 3724/4077 i.e 2/1985499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8794/487, 3724/4077.
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 8794/487,3724/4077?
Given fractions are 8794/487,3724/4077
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 8794/487,3724/4077, numerators are 8794,3724
Denominators are 487,4077
The GCF of 8794,3724 is 2 .
LCM of 487,4077 is 1985499.
The greatest common factor of 8794/487,3724/4077 = [GCF of 8794,3724]/[LCM of 487,4077]= 2/1985499
Therefore, the GCF of 8794/487,3724/4077 is 2/1985499.
To find the highest common factor of 8794,3724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8794 are 1, 2, 4397, 8794
The factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The HCF of 8794,3724 is 2.
Lets's calculate GCF of 8794,3724
| 2 | 8794, 3724 |
| 4397, 1862 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8794,3724 By Matching Biggest Common Factor Method
Now, list down the factors of 8794
:1,2,4397,8794
Now, list down the factors of 3724
:1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Greatest Common Factor
We found the factors 8794,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 8794,3724 is 2.
Lets's calculate LCM of 487,4077
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1985499
Therefore, the GCF of Fractions 8794/487,3724/4077 is 2/1985499
Least Common Multiple of 487,4077 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 487,4077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,4077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,4077) x common factors =1 x 1 = 1
LCM(487,4077) = ( 487 × 4077 ) / 1
LCM(487,4077) = 1985499 / 1
LCM(487,4077) = 1985499
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FAQs on GCF of Fractions of 8794/487, 3724/4077
1. What is the HCF of 8794,3724?
The HCF of 8794,3724 is 2
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 8794/487, 3724/4077?
Answer: GCF of Numerators as per given numbers 8794/487, 3724/4077 is
GCF of Numerators i.e. for 8794,3724 is 2
LCM of denominators i.e. for 487,4077 is 1985499.
Thus, GCF of Fractions is 2/1985499.Finally, GCF of Fractions for 8794/487, 3724/4077 is 2/1985499.