GCF of 7077/169, 9231/2036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7077/169, 9231/2036 i.e 3/344084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7077/169, 9231/2036.
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 7077/169,9231/2036?
Given fractions are 7077/169,9231/2036
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 7077/169,9231/2036, numerators are 7077,9231
Denominators are 169,2036
The GCF of 7077,9231 is 3 .
LCM of 169,2036 is 344084.
The greatest common factor of 7077/169,9231/2036 = [GCF of 7077,9231]/[LCM of 169,2036]= 3/344084
Therefore, the GCF of 7077/169,9231/2036 is 3/344084.
To find the highest common factor of 7077,9231, we have to find the factors of both numbers and list the highest common factor.
The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The HCF of 7077,9231 is 3.
Lets's calculate GCF of 7077,9231
| 3 | 7077, 9231 |
| 2359, 3077 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7077,9231 By Matching Biggest Common Factor Method
Now, list down the factors of 7077
:1,3,7,21,337,1011,2359,7077
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Greatest Common Factor
We found the factors 7077,9231 . The biggest common factor number is the GCF number.
So the greatest common factor 7077,9231 is 3.
Lets's calculate LCM of 169,2036
Given numbers has no common factors except 1. So, there LCM is their product i.e 344084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/344084
Therefore, the GCF of Fractions 7077/169,9231/2036 is 3/344084
Least Common Multiple of 169,2036 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 169,2036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,2036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,2036) x common factors =1 x 1 = 1
LCM(169,2036) = ( 169 × 2036 ) / 1
LCM(169,2036) = 344084 / 1
LCM(169,2036) = 344084
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FAQs on GCF of Fractions of 7077/169, 9231/2036
1. What is the HCF of 7077,9231?
The HCF of 7077,9231 is 3
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 7077/169, 9231/2036?
Answer: GCF of Numerators as per given numbers 7077/169, 9231/2036 is
GCF of Numerators i.e. for 7077,9231 is 3
LCM of denominators i.e. for 169,2036 is 344084.
Thus, GCF of Fractions is 3/344084.Finally, GCF of Fractions for 7077/169, 9231/2036 is 3/344084.