GCF of 8504/458, 6860/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8504/458, 6860/414 i.e 4/94806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8504/458, 6860/414.
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 8504/458,6860/414?
Given fractions are 8504/458,6860/414
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 8504/458,6860/414, numerators are 8504,6860
Denominators are 458,414
The GCF of 8504,6860 is 4 .
LCM of 458,414 is 94806.
The greatest common factor of 8504/458,6860/414 = [GCF of 8504,6860]/[LCM of 458,414]= 4/94806
Therefore, the GCF of 8504/458,6860/414 is 4/94806.
To find the highest common factor of 8504,6860, we have to find the factors of both numbers and list the highest common factor.
The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504
The factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860
The HCF of 8504,6860 is 4.
Lets's calculate GCF of 8504,6860
| 2 | 8504, 6860 |
| 2 | 4252, 3430 |
| 2126, 1715 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8504,6860 By Matching Biggest Common Factor Method
Now, list down the factors of 8504
:1,2,4,8,1063,2126,4252,8504
Now, list down the factors of 6860
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Greatest Common Factor
We found the factors 8504,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 8504,6860 is 4.
Lets's calculate LCM of 458,414
| 2 | 458, 414 |
| 229, 207 |
∴ So the LCM of the given numbers is 2 x 229 x 207 = 94806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94806
Therefore, the GCF of Fractions 8504/458,6860/414 is 4/94806
Least Common Multiple of 458,414 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 458,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,414) x common factors =2 x 1 = 2
LCM(458,414) = ( 458 × 414 ) / 2
LCM(458,414) = 189612 / 2
LCM(458,414) = 94806
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FAQs on GCF of Fractions of 8504/458, 6860/414
1. What is the HCF of 8504,6860?
The HCF of 8504,6860 is 4
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 8504/458, 6860/414?
Answer: GCF of Numerators as per given numbers 8504/458, 6860/414 is
GCF of Numerators i.e. for 8504,6860 is 4
LCM of denominators i.e. for 458,414 is 94806.
Thus, GCF of Fractions is 4/94806.Finally, GCF of Fractions for 8504/458, 6860/414 is 4/94806.