GCF of 253/137, 2783/2531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 253/137, 2783/2531 i.e 253/346747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/137, 2783/2531.
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 253/137,2783/2531?
Given fractions are 253/137,2783/2531
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 253/137,2783/2531, numerators are 253,2783
Denominators are 137,2531
The GCF of 253,2783 is 253 .
LCM of 137,2531 is 346747.
The greatest common factor of 253/137,2783/2531 = [GCF of 253,2783]/[LCM of 137,2531]= 253/346747
Therefore, the GCF of 253/137,2783/2531 is 253/346747.
To find the highest common factor of 253,2783, 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 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 253,2783 is 253.
Lets's calculate GCF of 253,2783
| 11 | 253, 2783 |
| 23 | 23, 253 |
| 1, 11 |
∴ So the GCF of the given numbers is 11 x 23 = 253
Greatest Common Factor of 253,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 253,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 253,2783 is 253.
Lets's calculate LCM of 137,2531
Given numbers has no common factors except 1. So, there LCM is their product i.e 346747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 253/346747
Therefore, the GCF of Fractions 253/137,2783/2531 is 253/346747
Least Common Multiple of 137,2531 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 137,2531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,2531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,2531) x common factors =1 x 1 = 1
LCM(137,2531) = ( 137 × 2531 ) / 1
LCM(137,2531) = 346747 / 1
LCM(137,2531) = 346747
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FAQs on GCF of Fractions of 253/137, 2783/2531
1. What is the HCF of 253,2783?
The HCF of 253,2783 is 253
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 253/137, 2783/2531?
Answer: GCF of Numerators as per given numbers 253/137, 2783/2531 is
GCF of Numerators i.e. for 253,2783 is 253
LCM of denominators i.e. for 137,2531 is 346747.
Thus, GCF of Fractions is 253/346747.Finally, GCF of Fractions for 253/137, 2783/2531 is 253/346747.