GCF of 1793/692, 6567/3949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1793/692, 6567/3949 i.e 11/2732708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1793/692, 6567/3949.
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 1793/692,6567/3949?
Given fractions are 1793/692,6567/3949
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 1793/692,6567/3949, numerators are 1793,6567
Denominators are 692,3949
The GCF of 1793,6567 is 11 .
LCM of 692,3949 is 2732708.
The greatest common factor of 1793/692,6567/3949 = [GCF of 1793,6567]/[LCM of 692,3949]= 11/2732708
Therefore, the GCF of 1793/692,6567/3949 is 11/2732708.
To find the highest common factor of 1793,6567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1793 are 1, 11, 163, 1793
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The HCF of 1793,6567 is 11.
Lets's calculate GCF of 1793,6567
| 11 | 1793, 6567 |
| 163, 597 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1793,6567 By Matching Biggest Common Factor Method
Now, list down the factors of 1793
:1,11,163,1793
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 1793,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 1793,6567 is 11.
Lets's calculate LCM of 692,3949
Given numbers has no common factors except 1. So, there LCM is their product i.e 2732708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2732708
Therefore, the GCF of Fractions 1793/692,6567/3949 is 11/2732708
Least Common Multiple of 692,3949 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 692,3949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,3949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,3949) x common factors =1 x 1 = 1
LCM(692,3949) = ( 692 × 3949 ) / 1
LCM(692,3949) = 2732708 / 1
LCM(692,3949) = 2732708
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FAQs on GCF of Fractions of 1793/692, 6567/3949
1. What is the HCF of 1793,6567?
The HCF of 1793,6567 is 11
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 1793/692, 6567/3949?
Answer: GCF of Numerators as per given numbers 1793/692, 6567/3949 is
GCF of Numerators i.e. for 1793,6567 is 11
LCM of denominators i.e. for 692,3949 is 2732708.
Thus, GCF of Fractions is 11/2732708.Finally, GCF of Fractions for 1793/692, 6567/3949 is 11/2732708.