GCF of 8023/692, 5495/5792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8023/692, 5495/5792 i.e 1/1002016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/692, 5495/5792.
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 8023/692,5495/5792?
Given fractions are 8023/692,5495/5792
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 8023/692,5495/5792, numerators are 8023,5495
Denominators are 692,5792
The GCF of 8023,5495 is 1 .
LCM of 692,5792 is 1002016.
The greatest common factor of 8023/692,5495/5792 = [GCF of 8023,5495]/[LCM of 692,5792]= 1/1002016
Therefore, the GCF of 8023/692,5495/5792 is 1/1002016.
To find the highest common factor of 8023,5495, we have to find the factors of both numbers and list the highest common factor.
The factors of 8023 are 1, 71, 113, 8023
The factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495
The HCF of 8023,5495 is 1.
Lets's calculate GCF of 8023,5495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8023,5495 By Matching Biggest Common Factor Method
Now, list down the factors of 8023
:1,71,113,8023
Now, list down the factors of 5495
:1,5,7,35,157,785,1099,5495
Greatest Common Factor
We found the factors 8023,5495 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,5495 is 1.
Lets's calculate LCM of 692,5792
| 2 | 692, 5792 |
| 2 | 346, 2896 |
| 173, 1448 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 1448 = 1002016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002016
Therefore, the GCF of Fractions 8023/692,5495/5792 is 1/1002016
Least Common Multiple of 692,5792 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 692,5792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,5792) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,5792) x common factors =4 x 1 = 4
LCM(692,5792) = ( 692 × 5792 ) / 4
LCM(692,5792) = 4008064 / 4
LCM(692,5792) = 1002016
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FAQs on GCF of Fractions of 8023/692, 5495/5792
1. What is the HCF of 8023,5495?
The HCF of 8023,5495 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 8023/692, 5495/5792?
Answer: GCF of Numerators as per given numbers 8023/692, 5495/5792 is
GCF of Numerators i.e. for 8023,5495 is 1
LCM of denominators i.e. for 692,5792 is 1002016.
Thus, GCF of Fractions is 1/1002016.Finally, GCF of Fractions for 8023/692, 5495/5792 is 1/1002016.