GCF of 8697/387, 8960/4978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8697/387, 8960/4978 i.e 1/1926486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8697/387, 8960/4978.
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 8697/387,8960/4978?
Given fractions are 8697/387,8960/4978
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 8697/387,8960/4978, numerators are 8697,8960
Denominators are 387,4978
The GCF of 8697,8960 is 1 .
LCM of 387,4978 is 1926486.
The greatest common factor of 8697/387,8960/4978 = [GCF of 8697,8960]/[LCM of 387,4978]= 1/1926486
Therefore, the GCF of 8697/387,8960/4978 is 1/1926486.
To find the highest common factor of 8697,8960, we have to find the factors of both numbers and list the highest common factor.
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The HCF of 8697,8960 is 1.
Lets's calculate GCF of 8697,8960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8697,8960 By Matching Biggest Common Factor Method
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Now, list down the factors of 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 8697,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 8697,8960 is 1.
Lets's calculate LCM of 387,4978
Given numbers has no common factors except 1. So, there LCM is their product i.e 1926486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1926486
Therefore, the GCF of Fractions 8697/387,8960/4978 is 1/1926486
Least Common Multiple of 387,4978 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 387,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,4978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,4978) x common factors =1 x 1 = 1
LCM(387,4978) = ( 387 × 4978 ) / 1
LCM(387,4978) = 1926486 / 1
LCM(387,4978) = 1926486
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FAQs on GCF of Fractions of 8697/387, 8960/4978
1. What is the HCF of 8697,8960?
The HCF of 8697,8960 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 8697/387, 8960/4978?
Answer: GCF of Numerators as per given numbers 8697/387, 8960/4978 is
GCF of Numerators i.e. for 8697,8960 is 1
LCM of denominators i.e. for 387,4978 is 1926486.
Thus, GCF of Fractions is 1/1926486.Finally, GCF of Fractions for 8697/387, 8960/4978 is 1/1926486.