GCF of 4252/893, 7450/2525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4252/893, 7450/2525 i.e 2/2254825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4252/893, 7450/2525.
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 4252/893,7450/2525?
Given fractions are 4252/893,7450/2525
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 4252/893,7450/2525, numerators are 4252,7450
Denominators are 893,2525
The GCF of 4252,7450 is 2 .
LCM of 893,2525 is 2254825.
The greatest common factor of 4252/893,7450/2525 = [GCF of 4252,7450]/[LCM of 893,2525]= 2/2254825
Therefore, the GCF of 4252/893,7450/2525 is 2/2254825.
To find the highest common factor of 4252,7450, we have to find the factors of both numbers and list the highest common factor.
The factors of 4252 are 1, 2, 4, 1063, 2126, 4252
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The HCF of 4252,7450 is 2.
Lets's calculate GCF of 4252,7450
| 2 | 4252, 7450 |
| 2126, 3725 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4252,7450 By Matching Biggest Common Factor Method
Now, list down the factors of 4252
:1,2,4,1063,2126,4252
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 4252,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 4252,7450 is 2.
Lets's calculate LCM of 893,2525
Given numbers has no common factors except 1. So, there LCM is their product i.e 2254825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2254825
Therefore, the GCF of Fractions 4252/893,7450/2525 is 2/2254825
Least Common Multiple of 893,2525 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 893,2525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,2525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,2525) x common factors =1 x 1 = 1
LCM(893,2525) = ( 893 × 2525 ) / 1
LCM(893,2525) = 2254825 / 1
LCM(893,2525) = 2254825
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4252/893, 7450/2525
1. What is the HCF of 4252,7450?
The HCF of 4252,7450 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 4252/893, 7450/2525?
Answer: GCF of Numerators as per given numbers 4252/893, 7450/2525 is
GCF of Numerators i.e. for 4252,7450 is 2
LCM of denominators i.e. for 893,2525 is 2254825.
Thus, GCF of Fractions is 2/2254825.Finally, GCF of Fractions for 4252/893, 7450/2525 is 2/2254825.