GCF of 2249/285, 3485/7305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2249/285, 3485/7305 i.e 1/138795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2249/285, 3485/7305.
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 2249/285,3485/7305?
Given fractions are 2249/285,3485/7305
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 2249/285,3485/7305, numerators are 2249,3485
Denominators are 285,7305
The GCF of 2249,3485 is 1 .
LCM of 285,7305 is 138795.
The greatest common factor of 2249/285,3485/7305 = [GCF of 2249,3485]/[LCM of 285,7305]= 1/138795
Therefore, the GCF of 2249/285,3485/7305 is 1/138795.
To find the highest common factor of 2249,3485, we have to find the factors of both numbers and list the highest common factor.
The factors of 2249 are 1, 13, 173, 2249
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 2249,3485 is 1.
Lets's calculate GCF of 2249,3485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2249,3485 By Matching Biggest Common Factor Method
Now, list down the factors of 2249
:1,13,173,2249
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 2249,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 2249,3485 is 1.
Lets's calculate LCM of 285,7305
| 3 | 285, 7305 |
| 5 | 95, 2435 |
| 19, 487 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 487 = 138795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138795
Therefore, the GCF of Fractions 2249/285,3485/7305 is 1/138795
Least Common Multiple of 285,7305 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 285,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,7305) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(285,7305) x common factors =15 x 1 = 15
LCM(285,7305) = ( 285 × 7305 ) / 15
LCM(285,7305) = 2081925 / 15
LCM(285,7305) = 138795
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FAQs on GCF of Fractions of 2249/285, 3485/7305
1. What is the HCF of 2249,3485?
The HCF of 2249,3485 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 2249/285, 3485/7305?
Answer: GCF of Numerators as per given numbers 2249/285, 3485/7305 is
GCF of Numerators i.e. for 2249,3485 is 1
LCM of denominators i.e. for 285,7305 is 138795.
Thus, GCF of Fractions is 1/138795.Finally, GCF of Fractions for 2249/285, 3485/7305 is 1/138795.