Use our free GCF of Fractions Calculator tool to compute the GCF of 700/808, 9000/7409 i.e 100/5986472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/808, 9000/7409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/808,9000/7409
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 700/808,9000/7409, numerators are 700,9000
Denominators are 808,7409
The GCF of 700,9000 is 100 .
LCM of 808,7409 is 5986472.
The greatest common factor of 700/808,9000/7409 = [GCF of 700,9000]/[LCM of 808,7409]= 100/5986472
Therefore, the GCF of 700/808,9000/7409 is 100/5986472.
To find the highest common factor of 700,9000, we have to find the factors of both numbers and list the highest common factor.
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
The HCF of 700,9000 is 100.
Lets's calculate GCF of 700,9000
2 | 700, 9000 |
2 | 350, 4500 |
5 | 175, 2250 |
5 | 35, 450 |
7, 90 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 9000
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Greatest Common Factor
We found the factors 700,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 700,9000 is 100.
Lets's calculate LCM of 808,7409
Given numbers has no common factors except 1. So, there LCM is their product i.e 5986472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/5986472
Therefore, the GCF of Fractions 700/808,9000/7409 is 100/5986472
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 808,7409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,7409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,7409) x common factors =1 x 1 = 1
LCM(808,7409) = ( 808 × 7409 ) / 1
LCM(808,7409) = 5986472 / 1
LCM(808,7409) = 5986472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 700,9000?
The HCF of 700,9000 is 100
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 700/808, 9000/7409?
Answer: GCF of Numerators as per given numbers 700/808, 9000/7409 is
GCF of Numerators i.e. for 700,9000 is 100
LCM of denominators i.e. for 808,7409 is 5986472.
Thus, GCF of Fractions is 100/5986472.Finally, GCF of Fractions for 700/808, 9000/7409 is 100/5986472.