GCF of 1375/596, 8500/4673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1375/596, 8500/4673 i.e 125/2785108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1375/596, 8500/4673.
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 1375/596,8500/4673?
Given fractions are 1375/596,8500/4673
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 1375/596,8500/4673, numerators are 1375,8500
Denominators are 596,4673
The GCF of 1375,8500 is 125 .
LCM of 596,4673 is 2785108.
The greatest common factor of 1375/596,8500/4673 = [GCF of 1375,8500]/[LCM of 596,4673]= 125/2785108
Therefore, the GCF of 1375/596,8500/4673 is 125/2785108.
To find the highest common factor of 1375,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375
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 1375,8500 is 125.
Lets's calculate GCF of 1375,8500
| 5 | 1375, 8500 |
| 5 | 275, 1700 |
| 5 | 55, 340 |
| 11, 68 |
∴ So the GCF of the given numbers is 5 x 5 x 5 = 125
Greatest Common Factor of 1375,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 1375
:1,5,11,25,55,125,275,1375
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 1375,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,8500 is 125.
Lets's calculate LCM of 596,4673
Given numbers has no common factors except 1. So, there LCM is their product i.e 2785108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/2785108
Therefore, the GCF of Fractions 1375/596,8500/4673 is 125/2785108
Least Common Multiple of 596,4673 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 596,4673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,4673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,4673) x common factors =1 x 1 = 1
LCM(596,4673) = ( 596 × 4673 ) / 1
LCM(596,4673) = 2785108 / 1
LCM(596,4673) = 2785108
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FAQs on GCF of Fractions of 1375/596, 8500/4673
1. What is the HCF of 1375,8500?
The HCF of 1375,8500 is 125
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 1375/596, 8500/4673?
Answer: GCF of Numerators as per given numbers 1375/596, 8500/4673 is
GCF of Numerators i.e. for 1375,8500 is 125
LCM of denominators i.e. for 596,4673 is 2785108.
Thus, GCF of Fractions is 125/2785108.Finally, GCF of Fractions for 1375/596, 8500/4673 is 125/2785108.