GCF of 1469/100, 1520/6253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1469/100, 1520/6253 i.e 1/625300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/100, 1520/6253.
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 1469/100,1520/6253?
Given fractions are 1469/100,1520/6253
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 1469/100,1520/6253, numerators are 1469,1520
Denominators are 100,6253
The GCF of 1469,1520 is 1 .
LCM of 100,6253 is 625300.
The greatest common factor of 1469/100,1520/6253 = [GCF of 1469,1520]/[LCM of 100,6253]= 1/625300
Therefore, the GCF of 1469/100,1520/6253 is 1/625300.
To find the highest common factor of 1469,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 1469 are 1, 13, 113, 1469
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 1469,1520 is 1.
Lets's calculate GCF of 1469,1520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1469,1520 By Matching Biggest Common Factor Method
Now, list down the factors of 1469
:1,13,113,1469
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 1469,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,1520 is 1.
Lets's calculate LCM of 100,6253
Given numbers has no common factors except 1. So, there LCM is their product i.e 625300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625300
Therefore, the GCF of Fractions 1469/100,1520/6253 is 1/625300
Least Common Multiple of 100,6253 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 100,6253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,6253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,6253) x common factors =1 x 1 = 1
LCM(100,6253) = ( 100 × 6253 ) / 1
LCM(100,6253) = 625300 / 1
LCM(100,6253) = 625300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1469/100, 1520/6253
1. What is the HCF of 1469,1520?
The HCF of 1469,1520 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 1469/100, 1520/6253?
Answer: GCF of Numerators as per given numbers 1469/100, 1520/6253 is
GCF of Numerators i.e. for 1469,1520 is 1
LCM of denominators i.e. for 100,6253 is 625300.
Thus, GCF of Fractions is 1/625300.Finally, GCF of Fractions for 1469/100, 1520/6253 is 1/625300.