GCF of 668/85, 410/3747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/85, 410/3747 i.e 2/318495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/85, 410/3747.
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 668/85,410/3747?
Given fractions are 668/85,410/3747
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 668/85,410/3747, numerators are 668,410
Denominators are 85,3747
The GCF of 668,410 is 2 .
LCM of 85,3747 is 318495.
The greatest common factor of 668/85,410/3747 = [GCF of 668,410]/[LCM of 85,3747]= 2/318495
Therefore, the GCF of 668/85,410/3747 is 2/318495.
To find the highest common factor of 668,410, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The HCF of 668,410 is 2.
Lets's calculate GCF of 668,410
| 2 | 668, 410 |
| 334, 205 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 668,410 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 668,410 . The biggest common factor number is the GCF number.
So the greatest common factor 668,410 is 2.
Lets's calculate LCM of 85,3747
Given numbers has no common factors except 1. So, there LCM is their product i.e 318495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318495
Therefore, the GCF of Fractions 668/85,410/3747 is 2/318495
Least Common Multiple of 85,3747 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 85,3747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,3747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,3747) x common factors =1 x 1 = 1
LCM(85,3747) = ( 85 × 3747 ) / 1
LCM(85,3747) = 318495 / 1
LCM(85,3747) = 318495
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FAQs on GCF of Fractions of 668/85, 410/3747
1. What is the HCF of 668,410?
The HCF of 668,410 is 2
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 668/85, 410/3747?
Answer: GCF of Numerators as per given numbers 668/85, 410/3747 is
GCF of Numerators i.e. for 668,410 is 2
LCM of denominators i.e. for 85,3747 is 318495.
Thus, GCF of Fractions is 2/318495.Finally, GCF of Fractions for 668/85, 410/3747 is 2/318495.