GCF of 8270/320, 1625/1194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8270/320, 1625/1194 i.e 5/191040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8270/320, 1625/1194.
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 8270/320,1625/1194?
Given fractions are 8270/320,1625/1194
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 8270/320,1625/1194, numerators are 8270,1625
Denominators are 320,1194
The GCF of 8270,1625 is 5 .
LCM of 320,1194 is 191040.
The greatest common factor of 8270/320,1625/1194 = [GCF of 8270,1625]/[LCM of 320,1194]= 5/191040
Therefore, the GCF of 8270/320,1625/1194 is 5/191040.
To find the highest common factor of 8270,1625, we have to find the factors of both numbers and list the highest common factor.
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625
The HCF of 8270,1625 is 5.
Lets's calculate GCF of 8270,1625
| 5 | 8270, 1625 |
| 1654, 325 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8270,1625 By Matching Biggest Common Factor Method
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Now, list down the factors of 1625
:1,5,13,25,65,125,325,1625
Greatest Common Factor
We found the factors 8270,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 8270,1625 is 5.
Lets's calculate LCM of 320,1194
| 2 | 320, 1194 |
| 160, 597 |
∴ So the LCM of the given numbers is 2 x 160 x 597 = 191040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/191040
Therefore, the GCF of Fractions 8270/320,1625/1194 is 5/191040
Least Common Multiple of 320,1194 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 320,1194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,1194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,1194) x common factors =2 x 1 = 2
LCM(320,1194) = ( 320 × 1194 ) / 2
LCM(320,1194) = 382080 / 2
LCM(320,1194) = 191040
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FAQs on GCF of Fractions of 8270/320, 1625/1194
1. What is the HCF of 8270,1625?
The HCF of 8270,1625 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 8270/320, 1625/1194?
Answer: GCF of Numerators as per given numbers 8270/320, 1625/1194 is
GCF of Numerators i.e. for 8270,1625 is 5
LCM of denominators i.e. for 320,1194 is 191040.
Thus, GCF of Fractions is 5/191040.Finally, GCF of Fractions for 8270/320, 1625/1194 is 5/191040.