GCF of 253/537, 749/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 253/537, 749/400 i.e 1/214800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/537, 749/400.
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 253/537,749/400?
Given fractions are 253/537,749/400
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 253/537,749/400, numerators are 253,749
Denominators are 537,400
The GCF of 253,749 is 1 .
LCM of 537,400 is 214800.
The greatest common factor of 253/537,749/400 = [GCF of 253,749]/[LCM of 537,400]= 1/214800
Therefore, the GCF of 253/537,749/400 is 1/214800.
To find the highest common factor of 253,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 253 are 1, 11, 23, 253
The factors of 749 are 1, 7, 107, 749
The HCF of 253,749 is 1.
Lets's calculate GCF of 253,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 253,749 By Matching Biggest Common Factor Method
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 253,749 . The biggest common factor number is the GCF number.
So the greatest common factor 253,749 is 1.
Lets's calculate LCM of 537,400
Given numbers has no common factors except 1. So, there LCM is their product i.e 214800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214800
Therefore, the GCF of Fractions 253/537,749/400 is 1/214800
Least Common Multiple of 537,400 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 537,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,400) x common factors =1 x 1 = 1
LCM(537,400) = ( 537 × 400 ) / 1
LCM(537,400) = 214800 / 1
LCM(537,400) = 214800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 253/537, 749/400
1. What is the HCF of 253,749?
The HCF of 253,749 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 253/537, 749/400?
Answer: GCF of Numerators as per given numbers 253/537, 749/400 is
GCF of Numerators i.e. for 253,749 is 1
LCM of denominators i.e. for 537,400 is 214800.
Thus, GCF of Fractions is 1/214800.Finally, GCF of Fractions for 253/537, 749/400 is 1/214800.