GCF of 1694/632, 6807/2382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1694/632, 6807/2382 i.e 1/752712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1694/632, 6807/2382.
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 1694/632,6807/2382?
Given fractions are 1694/632,6807/2382
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 1694/632,6807/2382, numerators are 1694,6807
Denominators are 632,2382
The GCF of 1694,6807 is 1 .
LCM of 632,2382 is 752712.
The greatest common factor of 1694/632,6807/2382 = [GCF of 1694,6807]/[LCM of 632,2382]= 1/752712
Therefore, the GCF of 1694/632,6807/2382 is 1/752712.
To find the highest common factor of 1694,6807, we have to find the factors of both numbers and list the highest common factor.
The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694
The factors of 6807 are 1, 3, 2269, 6807
The HCF of 1694,6807 is 1.
Lets's calculate GCF of 1694,6807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1694,6807 By Matching Biggest Common Factor Method
Now, list down the factors of 1694
:1,2,7,11,14,22,77,121,154,242,847,1694
Now, list down the factors of 6807
:1,3,2269,6807
Greatest Common Factor
We found the factors 1694,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 1694,6807 is 1.
Lets's calculate LCM of 632,2382
| 2 | 632, 2382 |
| 316, 1191 |
∴ So the LCM of the given numbers is 2 x 316 x 1191 = 752712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752712
Therefore, the GCF of Fractions 1694/632,6807/2382 is 1/752712
Least Common Multiple of 632,2382 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 632,2382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,2382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,2382) x common factors =2 x 1 = 2
LCM(632,2382) = ( 632 × 2382 ) / 2
LCM(632,2382) = 1505424 / 2
LCM(632,2382) = 752712
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1694/632, 6807/2382
1. What is the HCF of 1694,6807?
The HCF of 1694,6807 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 1694/632, 6807/2382?
Answer: GCF of Numerators as per given numbers 1694/632, 6807/2382 is
GCF of Numerators i.e. for 1694,6807 is 1
LCM of denominators i.e. for 632,2382 is 752712.
Thus, GCF of Fractions is 1/752712.Finally, GCF of Fractions for 1694/632, 6807/2382 is 1/752712.