GCF of 3655/318, 2016/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3655/318, 2016/779 i.e 1/247722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3655/318, 2016/779.
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 3655/318,2016/779?
Given fractions are 3655/318,2016/779
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 3655/318,2016/779, numerators are 3655,2016
Denominators are 318,779
The GCF of 3655,2016 is 1 .
LCM of 318,779 is 247722.
The greatest common factor of 3655/318,2016/779 = [GCF of 3655,2016]/[LCM of 318,779]= 1/247722
Therefore, the GCF of 3655/318,2016/779 is 1/247722.
To find the highest common factor of 3655,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 3655,2016 is 1.
Lets's calculate GCF of 3655,2016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3655,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 3655
:1,5,17,43,85,215,731,3655
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 3655,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 3655,2016 is 1.
Lets's calculate LCM of 318,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 247722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247722
Therefore, the GCF of Fractions 3655/318,2016/779 is 1/247722
Least Common Multiple of 318,779 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 318,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(318,779) x common factors =1 x 1 = 1
LCM(318,779) = ( 318 × 779 ) / 1
LCM(318,779) = 247722 / 1
LCM(318,779) = 247722
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FAQs on GCF of Fractions of 3655/318, 2016/779
1. What is the HCF of 3655,2016?
The HCF of 3655,2016 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 3655/318, 2016/779?
Answer: GCF of Numerators as per given numbers 3655/318, 2016/779 is
GCF of Numerators i.e. for 3655,2016 is 1
LCM of denominators i.e. for 318,779 is 247722.
Thus, GCF of Fractions is 1/247722.Finally, GCF of Fractions for 3655/318, 2016/779 is 1/247722.