GCF of 693/76, 220/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/76, 220/163 i.e 11/12388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/76, 220/163.
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 693/76,220/163?
Given fractions are 693/76,220/163
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 693/76,220/163, numerators are 693,220
Denominators are 76,163
The GCF of 693,220 is 11 .
LCM of 76,163 is 12388.
The greatest common factor of 693/76,220/163 = [GCF of 693,220]/[LCM of 76,163]= 11/12388
Therefore, the GCF of 693/76,220/163 is 11/12388.
To find the highest common factor of 693,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 693,220 is 11.
Lets's calculate GCF of 693,220
| 11 | 693, 220 |
| 63, 20 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 693,220 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 693,220 . The biggest common factor number is the GCF number.
So the greatest common factor 693,220 is 11.
Lets's calculate LCM of 76,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 12388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12388
Therefore, the GCF of Fractions 693/76,220/163 is 11/12388
Least Common Multiple of 76,163 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 76,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,163) x common factors =1 x 1 = 1
LCM(76,163) = ( 76 × 163 ) / 1
LCM(76,163) = 12388 / 1
LCM(76,163) = 12388
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FAQs on GCF of Fractions of 693/76, 220/163
1. What is the HCF of 693,220?
The HCF of 693,220 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 693/76, 220/163?
Answer: GCF of Numerators as per given numbers 693/76, 220/163 is
GCF of Numerators i.e. for 693,220 is 11
LCM of denominators i.e. for 76,163 is 12388.
Thus, GCF of Fractions is 11/12388.Finally, GCF of Fractions for 693/76, 220/163 is 11/12388.