GCF of 6670/704, 5887/9465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/704, 5887/9465 i.e 29/6663360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/704, 5887/9465.
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 6670/704,5887/9465?
Given fractions are 6670/704,5887/9465
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 6670/704,5887/9465, numerators are 6670,5887
Denominators are 704,9465
The GCF of 6670,5887 is 29 .
LCM of 704,9465 is 6663360.
The greatest common factor of 6670/704,5887/9465 = [GCF of 6670,5887]/[LCM of 704,9465]= 29/6663360
Therefore, the GCF of 6670/704,5887/9465 is 29/6663360.
To find the highest common factor of 6670,5887, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 5887 are 1, 7, 29, 203, 841, 5887
The HCF of 6670,5887 is 29.
Lets's calculate GCF of 6670,5887
| 29 | 6670, 5887 |
| 230, 203 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 6670,5887 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 5887
:1,7,29,203,841,5887
Greatest Common Factor
We found the factors 6670,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,5887 is 29.
Lets's calculate LCM of 704,9465
Given numbers has no common factors except 1. So, there LCM is their product i.e 6663360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/6663360
Therefore, the GCF of Fractions 6670/704,5887/9465 is 29/6663360
Least Common Multiple of 704,9465 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 704,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,9465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,9465) x common factors =1 x 1 = 1
LCM(704,9465) = ( 704 × 9465 ) / 1
LCM(704,9465) = 6663360 / 1
LCM(704,9465) = 6663360
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FAQs on GCF of Fractions of 6670/704, 5887/9465
1. What is the HCF of 6670,5887?
The HCF of 6670,5887 is 29
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 6670/704, 5887/9465?
Answer: GCF of Numerators as per given numbers 6670/704, 5887/9465 is
GCF of Numerators i.e. for 6670,5887 is 29
LCM of denominators i.e. for 704,9465 is 6663360.
Thus, GCF of Fractions is 29/6663360.Finally, GCF of Fractions for 6670/704, 5887/9465 is 29/6663360.