GCF of 2262/460, 3045/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2262/460, 3045/879 i.e 87/404340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2262/460, 3045/879.
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 2262/460,3045/879?
Given fractions are 2262/460,3045/879
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 2262/460,3045/879, numerators are 2262,3045
Denominators are 460,879
The GCF of 2262,3045 is 87 .
LCM of 460,879 is 404340.
The greatest common factor of 2262/460,3045/879 = [GCF of 2262,3045]/[LCM of 460,879]= 87/404340
Therefore, the GCF of 2262/460,3045/879 is 87/404340.
To find the highest common factor of 2262,3045, we have to find the factors of both numbers and list the highest common factor.
The factors of 2262 are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131, 2262
The factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
The HCF of 2262,3045 is 87.
Lets's calculate GCF of 2262,3045
| 3 | 2262, 3045 |
| 29 | 754, 1015 |
| 26, 35 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 2262,3045 By Matching Biggest Common Factor Method
Now, list down the factors of 2262
:1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262
Now, list down the factors of 3045
:1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Greatest Common Factor
We found the factors 2262,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 2262,3045 is 87.
Lets's calculate LCM of 460,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 404340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/404340
Therefore, the GCF of Fractions 2262/460,3045/879 is 87/404340
Least Common Multiple of 460,879 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 460,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,879) x common factors =1 x 1 = 1
LCM(460,879) = ( 460 × 879 ) / 1
LCM(460,879) = 404340 / 1
LCM(460,879) = 404340
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FAQs on GCF of Fractions of 2262/460, 3045/879
1. What is the HCF of 2262,3045?
The HCF of 2262,3045 is 87
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 2262/460, 3045/879?
Answer: GCF of Numerators as per given numbers 2262/460, 3045/879 is
GCF of Numerators i.e. for 2262,3045 is 87
LCM of denominators i.e. for 460,879 is 404340.
Thus, GCF of Fractions is 87/404340.Finally, GCF of Fractions for 2262/460, 3045/879 is 87/404340.