GCF of 1532/206, 3914/8915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1532/206, 3914/8915 i.e 2/1836490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1532/206, 3914/8915.
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 1532/206,3914/8915?
Given fractions are 1532/206,3914/8915
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 1532/206,3914/8915, numerators are 1532,3914
Denominators are 206,8915
The GCF of 1532,3914 is 2 .
LCM of 206,8915 is 1836490.
The greatest common factor of 1532/206,3914/8915 = [GCF of 1532,3914]/[LCM of 206,8915]= 2/1836490
Therefore, the GCF of 1532/206,3914/8915 is 2/1836490.
To find the highest common factor of 1532,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 1532,3914 is 2.
Lets's calculate GCF of 1532,3914
| 2 | 1532, 3914 |
| 766, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1532,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 1532
:1,2,4,383,766,1532
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 1532,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,3914 is 2.
Lets's calculate LCM of 206,8915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1836490
Therefore, the GCF of Fractions 1532/206,3914/8915 is 2/1836490
Least Common Multiple of 206,8915 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 206,8915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8915) x common factors =1 x 1 = 1
LCM(206,8915) = ( 206 × 8915 ) / 1
LCM(206,8915) = 1836490 / 1
LCM(206,8915) = 1836490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1532/206, 3914/8915
1. What is the HCF of 1532,3914?
The HCF of 1532,3914 is 2
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 1532/206, 3914/8915?
Answer: GCF of Numerators as per given numbers 1532/206, 3914/8915 is
GCF of Numerators i.e. for 1532,3914 is 2
LCM of denominators i.e. for 206,8915 is 1836490.
Thus, GCF of Fractions is 2/1836490.Finally, GCF of Fractions for 1532/206, 3914/8915 is 2/1836490.