GCF of 1563/170, 8971/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1563/170, 8971/676 i.e 1/57460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1563/170, 8971/676.
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 1563/170,8971/676?
Given fractions are 1563/170,8971/676
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 1563/170,8971/676, numerators are 1563,8971
Denominators are 170,676
The GCF of 1563,8971 is 1 .
LCM of 170,676 is 57460.
The greatest common factor of 1563/170,8971/676 = [GCF of 1563,8971]/[LCM of 170,676]= 1/57460
Therefore, the GCF of 1563/170,8971/676 is 1/57460.
To find the highest common factor of 1563,8971, we have to find the factors of both numbers and list the highest common factor.
The factors of 1563 are 1, 3, 521, 1563
The factors of 8971 are 1, 8971
The HCF of 1563,8971 is 1.
Lets's calculate GCF of 1563,8971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1563,8971 By Matching Biggest Common Factor Method
Now, list down the factors of 1563
:1,3,521,1563
Now, list down the factors of 8971
:1,8971
Greatest Common Factor
We found the factors 1563,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 1563,8971 is 1.
Lets's calculate LCM of 170,676
| 2 | 170, 676 |
| 85, 338 |
∴ So the LCM of the given numbers is 2 x 85 x 338 = 57460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57460
Therefore, the GCF of Fractions 1563/170,8971/676 is 1/57460
Least Common Multiple of 170,676 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 170,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,676) x common factors =2 x 1 = 2
LCM(170,676) = ( 170 × 676 ) / 2
LCM(170,676) = 114920 / 2
LCM(170,676) = 57460
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FAQs on GCF of Fractions of 1563/170, 8971/676
1. What is the HCF of 1563,8971?
The HCF of 1563,8971 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 1563/170, 8971/676?
Answer: GCF of Numerators as per given numbers 1563/170, 8971/676 is
GCF of Numerators i.e. for 1563,8971 is 1
LCM of denominators i.e. for 170,676 is 57460.
Thus, GCF of Fractions is 1/57460.Finally, GCF of Fractions for 1563/170, 8971/676 is 1/57460.