GCF of 2449/288, 2677/425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2449/288, 2677/425 i.e 1/122400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2449/288, 2677/425.
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 2449/288,2677/425?
Given fractions are 2449/288,2677/425
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 2449/288,2677/425, numerators are 2449,2677
Denominators are 288,425
The GCF of 2449,2677 is 1 .
LCM of 288,425 is 122400.
The greatest common factor of 2449/288,2677/425 = [GCF of 2449,2677]/[LCM of 288,425]= 1/122400
Therefore, the GCF of 2449/288,2677/425 is 1/122400.
To find the highest common factor of 2449,2677, we have to find the factors of both numbers and list the highest common factor.
The factors of 2449 are 1, 31, 79, 2449
The factors of 2677 are 1, 2677
The HCF of 2449,2677 is 1.
Lets's calculate GCF of 2449,2677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2449,2677 By Matching Biggest Common Factor Method
Now, list down the factors of 2449
:1,31,79,2449
Now, list down the factors of 2677
:1,2677
Greatest Common Factor
We found the factors 2449,2677 . The biggest common factor number is the GCF number.
So the greatest common factor 2449,2677 is 1.
Lets's calculate LCM of 288,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 122400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122400
Therefore, the GCF of Fractions 2449/288,2677/425 is 1/122400
Least Common Multiple of 288,425 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 288,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,425) x common factors =1 x 1 = 1
LCM(288,425) = ( 288 × 425 ) / 1
LCM(288,425) = 122400 / 1
LCM(288,425) = 122400
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FAQs on GCF of Fractions of 2449/288, 2677/425
1. What is the HCF of 2449,2677?
The HCF of 2449,2677 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 2449/288, 2677/425?
Answer: GCF of Numerators as per given numbers 2449/288, 2677/425 is
GCF of Numerators i.e. for 2449,2677 is 1
LCM of denominators i.e. for 288,425 is 122400.
Thus, GCF of Fractions is 1/122400.Finally, GCF of Fractions for 2449/288, 2677/425 is 1/122400.