GCF of 971/649, 262/201, 558/853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 971/649, 262/201, 558/853 i.e 1/111272997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/649, 262/201, 558/853.
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 971/649,262/201,558/853?
Given fractions are 971/649,262/201,558/853
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 971/649,262/201,558/853, numerators are 971,262,558
Denominators are 649,201,853
The GCF of 971,262,558 is 1 .
LCM of 649,201,853 is 111272997.
The greatest common factor of 971/649,262/201,558/853 = [GCF of 971,262,558]/[LCM of 649,201,853]= 1/111272997
Therefore, the GCF of 971/649,262/201,558/853 is 1/111272997.
To find the highest common factor of 971,262,558, 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 262 are 1, 2, 131, 262
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 971,262,558 is 1.
Lets's calculate GCF of 971,262,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 971,262,558 By Matching Biggest Common Factor Method
Now, list down the factors of 971
:1,971
Now, list down the factors of 262
:1,2,131,262
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 971,262,558 . The biggest common factor number is the GCF number.
So the greatest common factor 971,262,558 is 1.
Lets's calculate LCM of 649,201,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 111272997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111272997
Therefore, the GCF of Fractions 971/649,262/201,558/853 is 1/111272997
Least Common Multiple of 649,201,853 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 649,201,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,201,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,201,853) x common factors =1 x 1 = 1
LCM(649,201,853) = ( 649 × 201 × 853 ) / 1
LCM(649,201,853) = 111272997 / 1
LCM(649,201,853) = 111272997
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 971/649, 262/201, 558/853
1. What is the HCF of 971,262,558?
The HCF of 971,262,558 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 971/649, 262/201, 558/853?
Answer: GCF of Numerators as per given numbers 971/649, 262/201, 558/853 is
GCF of Numerators i.e. for 971,262,558 is 1
LCM of denominators i.e. for 649,201,853 is 111272997.
Thus, GCF of Fractions is 1/111272997.Finally, GCF of Fractions for 971/649, 262/201, 558/853 is 1/111272997.