GCF of 681/664, 870/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 681/664, 870/404 i.e 3/67064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/664, 870/404.
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 681/664,870/404?
Given fractions are 681/664,870/404
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 681/664,870/404, numerators are 681,870
Denominators are 664,404
The GCF of 681,870 is 3 .
LCM of 664,404 is 67064.
The greatest common factor of 681/664,870/404 = [GCF of 681,870]/[LCM of 664,404]= 3/67064
Therefore, the GCF of 681/664,870/404 is 3/67064.
To find the highest common factor of 681,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 681 are 1, 3, 227, 681
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 681,870 is 3.
Lets's calculate GCF of 681,870
| 3 | 681, 870 |
| 227, 290 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 681,870 By Matching Biggest Common Factor Method
Now, list down the factors of 681
:1,3,227,681
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 681,870 . The biggest common factor number is the GCF number.
So the greatest common factor 681,870 is 3.
Lets's calculate LCM of 664,404
| 2 | 664, 404 |
| 2 | 332, 202 |
| 166, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 101 = 67064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67064
Therefore, the GCF of Fractions 681/664,870/404 is 3/67064
Least Common Multiple of 664,404 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 664,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(664,404) x common factors =4 x 1 = 4
LCM(664,404) = ( 664 × 404 ) / 4
LCM(664,404) = 268256 / 4
LCM(664,404) = 67064
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FAQs on GCF of Fractions of 681/664, 870/404
1. What is the HCF of 681,870?
The HCF of 681,870 is 3
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 681/664, 870/404?
Answer: GCF of Numerators as per given numbers 681/664, 870/404 is
GCF of Numerators i.e. for 681,870 is 3
LCM of denominators i.e. for 664,404 is 67064.
Thus, GCF of Fractions is 3/67064.Finally, GCF of Fractions for 681/664, 870/404 is 3/67064.