GCF of 236/697, 585/837, 821/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/697, 585/837, 821/848 i.e 1/494713872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/697, 585/837, 821/848.
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 236/697,585/837,821/848?
Given fractions are 236/697,585/837,821/848
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 236/697,585/837,821/848, numerators are 236,585,821
Denominators are 697,837,848
The GCF of 236,585,821 is 1 .
LCM of 697,837,848 is 494713872.
The greatest common factor of 236/697,585/837,821/848 = [GCF of 236,585,821]/[LCM of 697,837,848]= 1/494713872
Therefore, the GCF of 236/697,585/837,821/848 is 1/494713872.
To find the highest common factor of 236,585,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 821 are 1, 821
The HCF of 236,585,821 is 1.
Lets's calculate GCF of 236,585,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,585,821 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 236,585,821 . The biggest common factor number is the GCF number.
So the greatest common factor 236,585,821 is 1.
Lets's calculate LCM of 697,837,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 494713872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494713872
Therefore, the GCF of Fractions 236/697,585/837,821/848 is 1/494713872
Least Common Multiple of 697,837,848 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 697,837,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,837,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,837,848) x common factors =1 x 1 = 1
LCM(697,837,848) = ( 697 × 837 × 848 ) / 1
LCM(697,837,848) = 494713872 / 1
LCM(697,837,848) = 494713872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 236/697, 585/837, 821/848
1. What is the HCF of 236,585,821?
The HCF of 236,585,821 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 236/697, 585/837, 821/848?
Answer: GCF of Numerators as per given numbers 236/697, 585/837, 821/848 is
GCF of Numerators i.e. for 236,585,821 is 1
LCM of denominators i.e. for 697,837,848 is 494713872.
Thus, GCF of Fractions is 1/494713872.Finally, GCF of Fractions for 236/697, 585/837, 821/848 is 1/494713872.