GCF of 6161/237, 7869/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6161/237, 7869/673 i.e 61/159501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6161/237, 7869/673.
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 6161/237,7869/673?
Given fractions are 6161/237,7869/673
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 6161/237,7869/673, numerators are 6161,7869
Denominators are 237,673
The GCF of 6161,7869 is 61 .
LCM of 237,673 is 159501.
The greatest common factor of 6161/237,7869/673 = [GCF of 6161,7869]/[LCM of 237,673]= 61/159501
Therefore, the GCF of 6161/237,7869/673 is 61/159501.
To find the highest common factor of 6161,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 6161 are 1, 61, 101, 6161
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 6161,7869 is 61.
Lets's calculate GCF of 6161,7869
| 61 | 6161, 7869 |
| 101, 129 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 6161,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 6161
:1,61,101,6161
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 6161,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,7869 is 61.
Lets's calculate LCM of 237,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 159501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/159501
Therefore, the GCF of Fractions 6161/237,7869/673 is 61/159501
Least Common Multiple of 237,673 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 237,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,673) x common factors =1 x 1 = 1
LCM(237,673) = ( 237 × 673 ) / 1
LCM(237,673) = 159501 / 1
LCM(237,673) = 159501
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FAQs on GCF of Fractions of 6161/237, 7869/673
1. What is the HCF of 6161,7869?
The HCF of 6161,7869 is 61
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 6161/237, 7869/673?
Answer: GCF of Numerators as per given numbers 6161/237, 7869/673 is
GCF of Numerators i.e. for 6161,7869 is 61
LCM of denominators i.e. for 237,673 is 159501.
Thus, GCF of Fractions is 61/159501.Finally, GCF of Fractions for 6161/237, 7869/673 is 61/159501.