GCF of 5692/706, 4062/4673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5692/706, 4062/4673 i.e 2/3299138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5692/706, 4062/4673.
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 5692/706,4062/4673?
Given fractions are 5692/706,4062/4673
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 5692/706,4062/4673, numerators are 5692,4062
Denominators are 706,4673
The GCF of 5692,4062 is 2 .
LCM of 706,4673 is 3299138.
The greatest common factor of 5692/706,4062/4673 = [GCF of 5692,4062]/[LCM of 706,4673]= 2/3299138
Therefore, the GCF of 5692/706,4062/4673 is 2/3299138.
To find the highest common factor of 5692,4062, we have to find the factors of both numbers and list the highest common factor.
The factors of 5692 are 1, 2, 4, 1423, 2846, 5692
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The HCF of 5692,4062 is 2.
Lets's calculate GCF of 5692,4062
| 2 | 5692, 4062 |
| 2846, 2031 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5692,4062 By Matching Biggest Common Factor Method
Now, list down the factors of 5692
:1,2,4,1423,2846,5692
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Greatest Common Factor
We found the factors 5692,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 5692,4062 is 2.
Lets's calculate LCM of 706,4673
Given numbers has no common factors except 1. So, there LCM is their product i.e 3299138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3299138
Therefore, the GCF of Fractions 5692/706,4062/4673 is 2/3299138
Least Common Multiple of 706,4673 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 706,4673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,4673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,4673) x common factors =1 x 1 = 1
LCM(706,4673) = ( 706 × 4673 ) / 1
LCM(706,4673) = 3299138 / 1
LCM(706,4673) = 3299138
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5692/706, 4062/4673
1. What is the HCF of 5692,4062?
The HCF of 5692,4062 is 2
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 5692/706, 4062/4673?
Answer: GCF of Numerators as per given numbers 5692/706, 4062/4673 is
GCF of Numerators i.e. for 5692,4062 is 2
LCM of denominators i.e. for 706,4673 is 3299138.
Thus, GCF of Fractions is 2/3299138.Finally, GCF of Fractions for 5692/706, 4062/4673 is 2/3299138.