GCF of 4460/290, 2238/8580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4460/290, 2238/8580 i.e 2/248820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4460/290, 2238/8580.
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 4460/290,2238/8580?
Given fractions are 4460/290,2238/8580
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 4460/290,2238/8580, numerators are 4460,2238
Denominators are 290,8580
The GCF of 4460,2238 is 2 .
LCM of 290,8580 is 248820.
The greatest common factor of 4460/290,2238/8580 = [GCF of 4460,2238]/[LCM of 290,8580]= 2/248820
Therefore, the GCF of 4460/290,2238/8580 is 2/248820.
To find the highest common factor of 4460,2238, we have to find the factors of both numbers and list the highest common factor.
The factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460
The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238
The HCF of 4460,2238 is 2.
Lets's calculate GCF of 4460,2238
| 2 | 4460, 2238 |
| 2230, 1119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4460,2238 By Matching Biggest Common Factor Method
Now, list down the factors of 4460
:1,2,4,5,10,20,223,446,892,1115,2230,4460
Now, list down the factors of 2238
:1,2,3,6,373,746,1119,2238
Greatest Common Factor
We found the factors 4460,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 4460,2238 is 2.
Lets's calculate LCM of 290,8580
| 2 | 290, 8580 |
| 5 | 145, 4290 |
| 29, 858 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 858 = 248820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248820
Therefore, the GCF of Fractions 4460/290,2238/8580 is 2/248820
Least Common Multiple of 290,8580 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 290,8580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,8580) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(290,8580) x common factors =10 x 1 = 10
LCM(290,8580) = ( 290 × 8580 ) / 10
LCM(290,8580) = 2488200 / 10
LCM(290,8580) = 248820
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FAQs on GCF of Fractions of 4460/290, 2238/8580
1. What is the HCF of 4460,2238?
The HCF of 4460,2238 is 2
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 4460/290, 2238/8580?
Answer: GCF of Numerators as per given numbers 4460/290, 2238/8580 is
GCF of Numerators i.e. for 4460,2238 is 2
LCM of denominators i.e. for 290,8580 is 248820.
Thus, GCF of Fractions is 2/248820.Finally, GCF of Fractions for 4460/290, 2238/8580 is 2/248820.