GCF of 1766/470, 8500/9677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1766/470, 8500/9677 i.e 2/4548190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1766/470, 8500/9677.
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 1766/470,8500/9677?
Given fractions are 1766/470,8500/9677
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 1766/470,8500/9677, numerators are 1766,8500
Denominators are 470,9677
The GCF of 1766,8500 is 2 .
LCM of 470,9677 is 4548190.
The greatest common factor of 1766/470,8500/9677 = [GCF of 1766,8500]/[LCM of 470,9677]= 2/4548190
Therefore, the GCF of 1766/470,8500/9677 is 2/4548190.
To find the highest common factor of 1766,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 1766 are 1, 2, 883, 1766
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 1766,8500 is 2.
Lets's calculate GCF of 1766,8500
| 2 | 1766, 8500 |
| 883, 4250 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1766,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 1766
:1,2,883,1766
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 1766,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 1766,8500 is 2.
Lets's calculate LCM of 470,9677
Given numbers has no common factors except 1. So, there LCM is their product i.e 4548190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4548190
Therefore, the GCF of Fractions 1766/470,8500/9677 is 2/4548190
Least Common Multiple of 470,9677 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 470,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,9677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,9677) x common factors =1 x 1 = 1
LCM(470,9677) = ( 470 × 9677 ) / 1
LCM(470,9677) = 4548190 / 1
LCM(470,9677) = 4548190
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FAQs on GCF of Fractions of 1766/470, 8500/9677
1. What is the HCF of 1766,8500?
The HCF of 1766,8500 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 1766/470, 8500/9677?
Answer: GCF of Numerators as per given numbers 1766/470, 8500/9677 is
GCF of Numerators i.e. for 1766,8500 is 2
LCM of denominators i.e. for 470,9677 is 4548190.
Thus, GCF of Fractions is 2/4548190.Finally, GCF of Fractions for 1766/470, 8500/9677 is 2/4548190.