Use our free GCF of Fractions Calculator tool to compute the GCF of 7000/176, 4243/2090 i.e 1/16720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7000/176, 4243/2090.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7000/176,4243/2090
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 7000/176,4243/2090, numerators are 7000,4243
Denominators are 176,2090
The GCF of 7000,4243 is 1 .
LCM of 176,2090 is 16720.
The greatest common factor of 7000/176,4243/2090 = [GCF of 7000,4243]/[LCM of 176,2090]= 1/16720
Therefore, the GCF of 7000/176,4243/2090 is 1/16720.
To find the highest common factor of 7000,4243, we have to find the factors of both numbers and list the highest common factor.
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The factors of 4243 are 1, 4243
The HCF of 7000,4243 is 1.
Lets's calculate GCF of 7000,4243
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Now, list down the factors of 4243
:1,4243
Greatest Common Factor
We found the factors 7000,4243 . The biggest common factor number is the GCF number.
So the greatest common factor 7000,4243 is 1.
Lets's calculate LCM of 176,2090
2 | 176, 2090 |
11 | 88, 1045 |
8, 95 |
∴ So the LCM of the given numbers is 2 x 11 x 8 x 95 = 16720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16720
Therefore, the GCF of Fractions 7000/176,4243/2090 is 1/16720
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 176,2090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,2090) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(176,2090) x common factors =22 x 1 = 22
LCM(176,2090) = ( 176 × 2090 ) / 22
LCM(176,2090) = 367840 / 22
LCM(176,2090) = 16720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7000,4243?
The HCF of 7000,4243 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 7000/176, 4243/2090?
Answer: GCF of Numerators as per given numbers 7000/176, 4243/2090 is
GCF of Numerators i.e. for 7000,4243 is 1
LCM of denominators i.e. for 176,2090 is 16720.
Thus, GCF of Fractions is 1/16720.Finally, GCF of Fractions for 7000/176, 4243/2090 is 1/16720.