GCF of 1753/448, 5882/6425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1753/448, 5882/6425 i.e 1/2878400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1753/448, 5882/6425.
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 1753/448,5882/6425?
Given fractions are 1753/448,5882/6425
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 1753/448,5882/6425, numerators are 1753,5882
Denominators are 448,6425
The GCF of 1753,5882 is 1 .
LCM of 448,6425 is 2878400.
The greatest common factor of 1753/448,5882/6425 = [GCF of 1753,5882]/[LCM of 448,6425]= 1/2878400
Therefore, the GCF of 1753/448,5882/6425 is 1/2878400.
To find the highest common factor of 1753,5882, we have to find the factors of both numbers and list the highest common factor.
The factors of 1753 are 1, 1753
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The HCF of 1753,5882 is 1.
Lets's calculate GCF of 1753,5882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1753,5882 By Matching Biggest Common Factor Method
Now, list down the factors of 1753
:1,1753
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
Greatest Common Factor
We found the factors 1753,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 1753,5882 is 1.
Lets's calculate LCM of 448,6425
Given numbers has no common factors except 1. So, there LCM is their product i.e 2878400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2878400
Therefore, the GCF of Fractions 1753/448,5882/6425 is 1/2878400
Least Common Multiple of 448,6425 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 448,6425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,6425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,6425) x common factors =1 x 1 = 1
LCM(448,6425) = ( 448 × 6425 ) / 1
LCM(448,6425) = 2878400 / 1
LCM(448,6425) = 2878400
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FAQs on GCF of Fractions of 1753/448, 5882/6425
1. What is the HCF of 1753,5882?
The HCF of 1753,5882 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 1753/448, 5882/6425?
Answer: GCF of Numerators as per given numbers 1753/448, 5882/6425 is
GCF of Numerators i.e. for 1753,5882 is 1
LCM of denominators i.e. for 448,6425 is 2878400.
Thus, GCF of Fractions is 1/2878400.Finally, GCF of Fractions for 1753/448, 5882/6425 is 1/2878400.