GCF of 8971/670, 3659/1078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8971/670, 3659/1078 i.e 1/361130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8971/670, 3659/1078.
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 8971/670,3659/1078?
Given fractions are 8971/670,3659/1078
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 8971/670,3659/1078, numerators are 8971,3659
Denominators are 670,1078
The GCF of 8971,3659 is 1 .
LCM of 670,1078 is 361130.
The greatest common factor of 8971/670,3659/1078 = [GCF of 8971,3659]/[LCM of 670,1078]= 1/361130
Therefore, the GCF of 8971/670,3659/1078 is 1/361130.
To find the highest common factor of 8971,3659, we have to find the factors of both numbers and list the highest common factor.
The factors of 8971 are 1, 8971
The factors of 3659 are 1, 3659
The HCF of 8971,3659 is 1.
Lets's calculate GCF of 8971,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8971,3659 By Matching Biggest Common Factor Method
Now, list down the factors of 8971
:1,8971
Now, list down the factors of 3659
:1,3659
Greatest Common Factor
We found the factors 8971,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 8971,3659 is 1.
Lets's calculate LCM of 670,1078
| 2 | 670, 1078 |
| 335, 539 |
∴ So the LCM of the given numbers is 2 x 335 x 539 = 361130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361130
Therefore, the GCF of Fractions 8971/670,3659/1078 is 1/361130
Least Common Multiple of 670,1078 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 670,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,1078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,1078) x common factors =2 x 1 = 2
LCM(670,1078) = ( 670 × 1078 ) / 2
LCM(670,1078) = 722260 / 2
LCM(670,1078) = 361130
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FAQs on GCF of Fractions of 8971/670, 3659/1078
1. What is the HCF of 8971,3659?
The HCF of 8971,3659 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 8971/670, 3659/1078?
Answer: GCF of Numerators as per given numbers 8971/670, 3659/1078 is
GCF of Numerators i.e. for 8971,3659 is 1
LCM of denominators i.e. for 670,1078 is 361130.
Thus, GCF of Fractions is 1/361130.Finally, GCF of Fractions for 8971/670, 3659/1078 is 1/361130.