GCF of 4420/406, 7110/3057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4420/406, 7110/3057 i.e 10/1241142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4420/406, 7110/3057.
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 4420/406,7110/3057?
Given fractions are 4420/406,7110/3057
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 4420/406,7110/3057, numerators are 4420,7110
Denominators are 406,3057
The GCF of 4420,7110 is 10 .
LCM of 406,3057 is 1241142.
The greatest common factor of 4420/406,7110/3057 = [GCF of 4420,7110]/[LCM of 406,3057]= 10/1241142
Therefore, the GCF of 4420/406,7110/3057 is 10/1241142.
To find the highest common factor of 4420,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 4420,7110 is 10.
Lets's calculate GCF of 4420,7110
| 2 | 4420, 7110 |
| 5 | 2210, 3555 |
| 442, 711 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4420,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 4420
:1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 4420,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 4420,7110 is 10.
Lets's calculate LCM of 406,3057
Given numbers has no common factors except 1. So, there LCM is their product i.e 1241142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1241142
Therefore, the GCF of Fractions 4420/406,7110/3057 is 10/1241142
Least Common Multiple of 406,3057 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 406,3057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,3057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,3057) x common factors =1 x 1 = 1
LCM(406,3057) = ( 406 × 3057 ) / 1
LCM(406,3057) = 1241142 / 1
LCM(406,3057) = 1241142
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FAQs on GCF of Fractions of 4420/406, 7110/3057
1. What is the HCF of 4420,7110?
The HCF of 4420,7110 is 10
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 4420/406, 7110/3057?
Answer: GCF of Numerators as per given numbers 4420/406, 7110/3057 is
GCF of Numerators i.e. for 4420,7110 is 10
LCM of denominators i.e. for 406,3057 is 1241142.
Thus, GCF of Fractions is 10/1241142.Finally, GCF of Fractions for 4420/406, 7110/3057 is 10/1241142.