GCF of 971/16, 872/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 971/16, 872/674 i.e 1/5392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/16, 872/674.
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 971/16,872/674?
Given fractions are 971/16,872/674
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 971/16,872/674, numerators are 971,872
Denominators are 16,674
The GCF of 971,872 is 1 .
LCM of 16,674 is 5392.
The greatest common factor of 971/16,872/674 = [GCF of 971,872]/[LCM of 16,674]= 1/5392
Therefore, the GCF of 971/16,872/674 is 1/5392.
To find the highest common factor of 971,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 971 are 1, 971
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 971,872 is 1.
Lets's calculate GCF of 971,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 971,872 By Matching Biggest Common Factor Method
Now, list down the factors of 971
:1,971
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 971,872 . The biggest common factor number is the GCF number.
So the greatest common factor 971,872 is 1.
Lets's calculate LCM of 16,674
| 2 | 16, 674 |
| 8, 337 |
∴ So the LCM of the given numbers is 2 x 8 x 337 = 5392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5392
Therefore, the GCF of Fractions 971/16,872/674 is 1/5392
Least Common Multiple of 16,674 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 16,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,674) x common factors =2 x 1 = 2
LCM(16,674) = ( 16 × 674 ) / 2
LCM(16,674) = 10784 / 2
LCM(16,674) = 5392
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 971/16, 872/674
1. What is the HCF of 971,872?
The HCF of 971,872 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 971/16, 872/674?
Answer: GCF of Numerators as per given numbers 971/16, 872/674 is
GCF of Numerators i.e. for 971,872 is 1
LCM of denominators i.e. for 16,674 is 5392.
Thus, GCF of Fractions is 1/5392.Finally, GCF of Fractions for 971/16, 872/674 is 1/5392.