GCF of 2235/369, 2549/6769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2235/369, 2549/6769 i.e 1/2497761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2235/369, 2549/6769.
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 2235/369,2549/6769?
Given fractions are 2235/369,2549/6769
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 2235/369,2549/6769, numerators are 2235,2549
Denominators are 369,6769
The GCF of 2235,2549 is 1 .
LCM of 369,6769 is 2497761.
The greatest common factor of 2235/369,2549/6769 = [GCF of 2235,2549]/[LCM of 369,6769]= 1/2497761
Therefore, the GCF of 2235/369,2549/6769 is 1/2497761.
To find the highest common factor of 2235,2549, we have to find the factors of both numbers and list the highest common factor.
The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235
The factors of 2549 are 1, 2549
The HCF of 2235,2549 is 1.
Lets's calculate GCF of 2235,2549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2235,2549 By Matching Biggest Common Factor Method
Now, list down the factors of 2235
:1,3,5,15,149,447,745,2235
Now, list down the factors of 2549
:1,2549
Greatest Common Factor
We found the factors 2235,2549 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,2549 is 1.
Lets's calculate LCM of 369,6769
Given numbers has no common factors except 1. So, there LCM is their product i.e 2497761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2497761
Therefore, the GCF of Fractions 2235/369,2549/6769 is 1/2497761
Least Common Multiple of 369,6769 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 369,6769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,6769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,6769) x common factors =1 x 1 = 1
LCM(369,6769) = ( 369 × 6769 ) / 1
LCM(369,6769) = 2497761 / 1
LCM(369,6769) = 2497761
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FAQs on GCF of Fractions of 2235/369, 2549/6769
1. What is the HCF of 2235,2549?
The HCF of 2235,2549 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 2235/369, 2549/6769?
Answer: GCF of Numerators as per given numbers 2235/369, 2549/6769 is
GCF of Numerators i.e. for 2235,2549 is 1
LCM of denominators i.e. for 369,6769 is 2497761.
Thus, GCF of Fractions is 1/2497761.Finally, GCF of Fractions for 2235/369, 2549/6769 is 1/2497761.