GCF of 7205/697, 5371/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7205/697, 5371/138 i.e 131/96186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7205/697, 5371/138.
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 7205/697,5371/138?
Given fractions are 7205/697,5371/138
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 7205/697,5371/138, numerators are 7205,5371
Denominators are 697,138
The GCF of 7205,5371 is 131 .
LCM of 697,138 is 96186.
The greatest common factor of 7205/697,5371/138 = [GCF of 7205,5371]/[LCM of 697,138]= 131/96186
Therefore, the GCF of 7205/697,5371/138 is 131/96186.
To find the highest common factor of 7205,5371, we have to find the factors of both numbers and list the highest common factor.
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The factors of 5371 are 1, 41, 131, 5371
The HCF of 7205,5371 is 131.
Lets's calculate GCF of 7205,5371
| 131 | 7205, 5371 |
| 55, 41 |
∴ So the GCF of the given numbers is 131 = 131
Greatest Common Factor of 7205,5371 By Matching Biggest Common Factor Method
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Now, list down the factors of 5371
:1,41,131,5371
Greatest Common Factor
We found the factors 7205,5371 . The biggest common factor number is the GCF number.
So the greatest common factor 7205,5371 is 131.
Lets's calculate LCM of 697,138
Given numbers has no common factors except 1. So, there LCM is their product i.e 96186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/96186
Therefore, the GCF of Fractions 7205/697,5371/138 is 131/96186
Least Common Multiple of 697,138 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 697,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,138) x common factors =1 x 1 = 1
LCM(697,138) = ( 697 × 138 ) / 1
LCM(697,138) = 96186 / 1
LCM(697,138) = 96186
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FAQs on GCF of Fractions of 7205/697, 5371/138
1. What is the HCF of 7205,5371?
The HCF of 7205,5371 is 131
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 7205/697, 5371/138?
Answer: GCF of Numerators as per given numbers 7205/697, 5371/138 is
GCF of Numerators i.e. for 7205,5371 is 131
LCM of denominators i.e. for 697,138 is 96186.
Thus, GCF of Fractions is 131/96186.Finally, GCF of Fractions for 7205/697, 5371/138 is 131/96186.