GCF of 2403/278, 3609/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2403/278, 3609/354 i.e 9/49206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2403/278, 3609/354.
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 2403/278,3609/354?
Given fractions are 2403/278,3609/354
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 2403/278,3609/354, numerators are 2403,3609
Denominators are 278,354
The GCF of 2403,3609 is 9 .
LCM of 278,354 is 49206.
The greatest common factor of 2403/278,3609/354 = [GCF of 2403,3609]/[LCM of 278,354]= 9/49206
Therefore, the GCF of 2403/278,3609/354 is 9/49206.
To find the highest common factor of 2403,3609, we have to find the factors of both numbers and list the highest common factor.
The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403
The factors of 3609 are 1, 3, 9, 401, 1203, 3609
The HCF of 2403,3609 is 9.
Lets's calculate GCF of 2403,3609
| 3 | 2403, 3609 |
| 3 | 801, 1203 |
| 267, 401 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2403,3609 By Matching Biggest Common Factor Method
Now, list down the factors of 2403
:1,3,9,27,89,267,801,2403
Now, list down the factors of 3609
:1,3,9,401,1203,3609
Greatest Common Factor
We found the factors 2403,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,3609 is 9.
Lets's calculate LCM of 278,354
| 2 | 278, 354 |
| 139, 177 |
∴ So the LCM of the given numbers is 2 x 139 x 177 = 49206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/49206
Therefore, the GCF of Fractions 2403/278,3609/354 is 9/49206
Least Common Multiple of 278,354 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 278,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,354) x common factors =2 x 1 = 2
LCM(278,354) = ( 278 × 354 ) / 2
LCM(278,354) = 98412 / 2
LCM(278,354) = 49206
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FAQs on GCF of Fractions of 2403/278, 3609/354
1. What is the HCF of 2403,3609?
The HCF of 2403,3609 is 9
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 2403/278, 3609/354?
Answer: GCF of Numerators as per given numbers 2403/278, 3609/354 is
GCF of Numerators i.e. for 2403,3609 is 9
LCM of denominators i.e. for 278,354 is 49206.
Thus, GCF of Fractions is 9/49206.Finally, GCF of Fractions for 2403/278, 3609/354 is 9/49206.