Use our free GCF of Fractions Calculator tool to compute the GCF of 3400/510, 5033/5780 i.e 1/17340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3400/510, 5033/5780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3400/510,5033/5780
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 3400/510,5033/5780, numerators are 3400,5033
Denominators are 510,5780
The GCF of 3400,5033 is 1 .
LCM of 510,5780 is 17340.
The greatest common factor of 3400/510,5033/5780 = [GCF of 3400,5033]/[LCM of 510,5780]= 1/17340
Therefore, the GCF of 3400/510,5033/5780 is 1/17340.
To find the highest common factor of 3400,5033, we have to find the factors of both numbers and list the highest common factor.
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The factors of 5033 are 1, 7, 719, 5033
The HCF of 3400,5033 is 1.
Lets's calculate GCF of 3400,5033
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Now, list down the factors of 5033
:1,7,719,5033
Greatest Common Factor
We found the factors 3400,5033 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,5033 is 1.
Lets's calculate LCM of 510,5780
2 | 510, 5780 |
5 | 255, 2890 |
17 | 51, 578 |
3, 34 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 34 = 17340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17340
Therefore, the GCF of Fractions 3400/510,5033/5780 is 1/17340
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 510,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,5780) = 170
common factors(in case of two or more numbers have common factors) = 1
GCF(510,5780) x common factors =170 x 1 = 170
LCM(510,5780) = ( 510 × 5780 ) / 170
LCM(510,5780) = 2947800 / 170
LCM(510,5780) = 17340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3400,5033?
The HCF of 3400,5033 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 3400/510, 5033/5780?
Answer: GCF of Numerators as per given numbers 3400/510, 5033/5780 is
GCF of Numerators i.e. for 3400,5033 is 1
LCM of denominators i.e. for 510,5780 is 17340.
Thus, GCF of Fractions is 1/17340.Finally, GCF of Fractions for 3400/510, 5033/5780 is 1/17340.