GCF of 1105/422, 4220/3148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1105/422, 4220/3148 i.e 5/664228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/422, 4220/3148.
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 1105/422,4220/3148?
Given fractions are 1105/422,4220/3148
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 1105/422,4220/3148, numerators are 1105,4220
Denominators are 422,3148
The GCF of 1105,4220 is 5 .
LCM of 422,3148 is 664228.
The greatest common factor of 1105/422,4220/3148 = [GCF of 1105,4220]/[LCM of 422,3148]= 5/664228
Therefore, the GCF of 1105/422,4220/3148 is 5/664228.
To find the highest common factor of 1105,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 1105,4220 is 5.
Lets's calculate GCF of 1105,4220
| 5 | 1105, 4220 |
| 221, 844 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1105,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 1105
:1,5,13,17,65,85,221,1105
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 1105,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,4220 is 5.
Lets's calculate LCM of 422,3148
| 2 | 422, 3148 |
| 211, 1574 |
∴ So the LCM of the given numbers is 2 x 211 x 1574 = 664228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/664228
Therefore, the GCF of Fractions 1105/422,4220/3148 is 5/664228
Least Common Multiple of 422,3148 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 422,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,3148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,3148) x common factors =2 x 1 = 2
LCM(422,3148) = ( 422 × 3148 ) / 2
LCM(422,3148) = 1328456 / 2
LCM(422,3148) = 664228
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FAQs on GCF of Fractions of 1105/422, 4220/3148
1. What is the HCF of 1105,4220?
The HCF of 1105,4220 is 5
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 1105/422, 4220/3148?
Answer: GCF of Numerators as per given numbers 1105/422, 4220/3148 is
GCF of Numerators i.e. for 1105,4220 is 5
LCM of denominators i.e. for 422,3148 is 664228.
Thus, GCF of Fractions is 5/664228.Finally, GCF of Fractions for 1105/422, 4220/3148 is 5/664228.