GCF of 2055/675, 7057/3482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2055/675, 7057/3482 i.e 1/2350350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2055/675, 7057/3482.
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 2055/675,7057/3482?
Given fractions are 2055/675,7057/3482
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 2055/675,7057/3482, numerators are 2055,7057
Denominators are 675,3482
The GCF of 2055,7057 is 1 .
LCM of 675,3482 is 2350350.
The greatest common factor of 2055/675,7057/3482 = [GCF of 2055,7057]/[LCM of 675,3482]= 1/2350350
Therefore, the GCF of 2055/675,7057/3482 is 1/2350350.
To find the highest common factor of 2055,7057, we have to find the factors of both numbers and list the highest common factor.
The factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055
The factors of 7057 are 1, 7057
The HCF of 2055,7057 is 1.
Lets's calculate GCF of 2055,7057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2055,7057 By Matching Biggest Common Factor Method
Now, list down the factors of 2055
:1,3,5,15,137,411,685,2055
Now, list down the factors of 7057
:1,7057
Greatest Common Factor
We found the factors 2055,7057 . The biggest common factor number is the GCF number.
So the greatest common factor 2055,7057 is 1.
Lets's calculate LCM of 675,3482
Given numbers has no common factors except 1. So, there LCM is their product i.e 2350350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2350350
Therefore, the GCF of Fractions 2055/675,7057/3482 is 1/2350350
Least Common Multiple of 675,3482 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 675,3482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,3482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,3482) x common factors =1 x 1 = 1
LCM(675,3482) = ( 675 × 3482 ) / 1
LCM(675,3482) = 2350350 / 1
LCM(675,3482) = 2350350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2055/675, 7057/3482
1. What is the HCF of 2055,7057?
The HCF of 2055,7057 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 2055/675, 7057/3482?
Answer: GCF of Numerators as per given numbers 2055/675, 7057/3482 is
GCF of Numerators i.e. for 2055,7057 is 1
LCM of denominators i.e. for 675,3482 is 2350350.
Thus, GCF of Fractions is 1/2350350.Finally, GCF of Fractions for 2055/675, 7057/3482 is 1/2350350.