GCF of 9545/778, 8250/4657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9545/778, 8250/4657 i.e 5/3623146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9545/778, 8250/4657.
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 9545/778,8250/4657?
Given fractions are 9545/778,8250/4657
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 9545/778,8250/4657, numerators are 9545,8250
Denominators are 778,4657
The GCF of 9545,8250 is 5 .
LCM of 778,4657 is 3623146.
The greatest common factor of 9545/778,8250/4657 = [GCF of 9545,8250]/[LCM of 778,4657]= 5/3623146
Therefore, the GCF of 9545/778,8250/4657 is 5/3623146.
To find the highest common factor of 9545,8250, we have to find the factors of both numbers and list the highest common factor.
The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The HCF of 9545,8250 is 5.
Lets's calculate GCF of 9545,8250
| 5 | 9545, 8250 |
| 1909, 1650 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9545,8250 By Matching Biggest Common Factor Method
Now, list down the factors of 9545
:1,5,23,83,115,415,1909,9545
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors 9545,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 9545,8250 is 5.
Lets's calculate LCM of 778,4657
Given numbers has no common factors except 1. So, there LCM is their product i.e 3623146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3623146
Therefore, the GCF of Fractions 9545/778,8250/4657 is 5/3623146
Least Common Multiple of 778,4657 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 778,4657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4657) x common factors =1 x 1 = 1
LCM(778,4657) = ( 778 × 4657 ) / 1
LCM(778,4657) = 3623146 / 1
LCM(778,4657) = 3623146
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FAQs on GCF of Fractions of 9545/778, 8250/4657
1. What is the HCF of 9545,8250?
The HCF of 9545,8250 is 5
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 9545/778, 8250/4657?
Answer: GCF of Numerators as per given numbers 9545/778, 8250/4657 is
GCF of Numerators i.e. for 9545,8250 is 5
LCM of denominators i.e. for 778,4657 is 3623146.
Thus, GCF of Fractions is 5/3623146.Finally, GCF of Fractions for 9545/778, 8250/4657 is 5/3623146.