GCF of 7570/476, 4110/4239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7570/476, 4110/4239 i.e 10/2017764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7570/476, 4110/4239.
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 7570/476,4110/4239?
Given fractions are 7570/476,4110/4239
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 7570/476,4110/4239, numerators are 7570,4110
Denominators are 476,4239
The GCF of 7570,4110 is 10 .
LCM of 476,4239 is 2017764.
The greatest common factor of 7570/476,4110/4239 = [GCF of 7570,4110]/[LCM of 476,4239]= 10/2017764
Therefore, the GCF of 7570/476,4110/4239 is 10/2017764.
To find the highest common factor of 7570,4110, we have to find the factors of both numbers and list the highest common factor.
The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570
The factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
The HCF of 7570,4110 is 10.
Lets's calculate GCF of 7570,4110
| 2 | 7570, 4110 |
| 5 | 3785, 2055 |
| 757, 411 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7570,4110 By Matching Biggest Common Factor Method
Now, list down the factors of 7570
:1,2,5,10,757,1514,3785,7570
Now, list down the factors of 4110
:1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110
Greatest Common Factor
We found the factors 7570,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 7570,4110 is 10.
Lets's calculate LCM of 476,4239
Given numbers has no common factors except 1. So, there LCM is their product i.e 2017764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2017764
Therefore, the GCF of Fractions 7570/476,4110/4239 is 10/2017764
Least Common Multiple of 476,4239 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 476,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,4239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,4239) x common factors =1 x 1 = 1
LCM(476,4239) = ( 476 × 4239 ) / 1
LCM(476,4239) = 2017764 / 1
LCM(476,4239) = 2017764
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FAQs on GCF of Fractions of 7570/476, 4110/4239
1. What is the HCF of 7570,4110?
The HCF of 7570,4110 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 7570/476, 4110/4239?
Answer: GCF of Numerators as per given numbers 7570/476, 4110/4239 is
GCF of Numerators i.e. for 7570,4110 is 10
LCM of denominators i.e. for 476,4239 is 2017764.
Thus, GCF of Fractions is 10/2017764.Finally, GCF of Fractions for 7570/476, 4110/4239 is 10/2017764.