GCF of 8110/902, 2407/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8110/902, 2407/334 i.e 1/150634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8110/902, 2407/334.
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 8110/902,2407/334?
Given fractions are 8110/902,2407/334
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 8110/902,2407/334, numerators are 8110,2407
Denominators are 902,334
The GCF of 8110,2407 is 1 .
LCM of 902,334 is 150634.
The greatest common factor of 8110/902,2407/334 = [GCF of 8110,2407]/[LCM of 902,334]= 1/150634
Therefore, the GCF of 8110/902,2407/334 is 1/150634.
To find the highest common factor of 8110,2407, we have to find the factors of both numbers and list the highest common factor.
The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110
The factors of 2407 are 1, 29, 83, 2407
The HCF of 8110,2407 is 1.
Lets's calculate GCF of 8110,2407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8110,2407 By Matching Biggest Common Factor Method
Now, list down the factors of 8110
:1,2,5,10,811,1622,4055,8110
Now, list down the factors of 2407
:1,29,83,2407
Greatest Common Factor
We found the factors 8110,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,2407 is 1.
Lets's calculate LCM of 902,334
| 2 | 902, 334 |
| 451, 167 |
∴ So the LCM of the given numbers is 2 x 451 x 167 = 150634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150634
Therefore, the GCF of Fractions 8110/902,2407/334 is 1/150634
Least Common Multiple of 902,334 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 902,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,334) x common factors =2 x 1 = 2
LCM(902,334) = ( 902 × 334 ) / 2
LCM(902,334) = 301268 / 2
LCM(902,334) = 150634
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FAQs on GCF of Fractions of 8110/902, 2407/334
1. What is the HCF of 8110,2407?
The HCF of 8110,2407 is 1
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 8110/902, 2407/334?
Answer: GCF of Numerators as per given numbers 8110/902, 2407/334 is
GCF of Numerators i.e. for 8110,2407 is 1
LCM of denominators i.e. for 902,334 is 150634.
Thus, GCF of Fractions is 1/150634.Finally, GCF of Fractions for 8110/902, 2407/334 is 1/150634.