GCF of 705/684, 883/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/684, 883/823 i.e 1/562932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/684, 883/823.
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 705/684,883/823?
Given fractions are 705/684,883/823
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 705/684,883/823, numerators are 705,883
Denominators are 684,823
The GCF of 705,883 is 1 .
LCM of 684,823 is 562932.
The greatest common factor of 705/684,883/823 = [GCF of 705,883]/[LCM of 684,823]= 1/562932
Therefore, the GCF of 705/684,883/823 is 1/562932.
To find the highest common factor of 705,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 883 are 1, 883
The HCF of 705,883 is 1.
Lets's calculate GCF of 705,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 705,883 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 705,883 . The biggest common factor number is the GCF number.
So the greatest common factor 705,883 is 1.
Lets's calculate LCM of 684,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 562932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562932
Therefore, the GCF of Fractions 705/684,883/823 is 1/562932
Least Common Multiple of 684,823 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 684,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,823) x common factors =1 x 1 = 1
LCM(684,823) = ( 684 × 823 ) / 1
LCM(684,823) = 562932 / 1
LCM(684,823) = 562932
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 705/684, 883/823
1. What is the HCF of 705,883?
The HCF of 705,883 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 705/684, 883/823?
Answer: GCF of Numerators as per given numbers 705/684, 883/823 is
GCF of Numerators i.e. for 705,883 is 1
LCM of denominators i.e. for 684,823 is 562932.
Thus, GCF of Fractions is 1/562932.Finally, GCF of Fractions for 705/684, 883/823 is 1/562932.