GCF of 9711/697, 5174/4551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9711/697, 5174/4551 i.e 13/77367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9711/697, 5174/4551.
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 9711/697,5174/4551?
Given fractions are 9711/697,5174/4551
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 9711/697,5174/4551, numerators are 9711,5174
Denominators are 697,4551
The GCF of 9711,5174 is 13 .
LCM of 697,4551 is 77367.
The greatest common factor of 9711/697,5174/4551 = [GCF of 9711,5174]/[LCM of 697,4551]= 13/77367
Therefore, the GCF of 9711/697,5174/4551 is 13/77367.
To find the highest common factor of 9711,5174, we have to find the factors of both numbers and list the highest common factor.
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The HCF of 9711,5174 is 13.
Lets's calculate GCF of 9711,5174
| 13 | 9711, 5174 |
| 747, 398 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9711,5174 By Matching Biggest Common Factor Method
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 9711,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,5174 is 13.
Lets's calculate LCM of 697,4551
| 41 | 697, 4551 |
| 17, 111 |
∴ So the LCM of the given numbers is 41 x 17 x 111 = 77367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/77367
Therefore, the GCF of Fractions 9711/697,5174/4551 is 13/77367
Least Common Multiple of 697,4551 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 697,4551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,4551) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(697,4551) x common factors =41 x 1 = 41
LCM(697,4551) = ( 697 × 4551 ) / 41
LCM(697,4551) = 3172047 / 41
LCM(697,4551) = 77367
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FAQs on GCF of Fractions of 9711/697, 5174/4551
1. What is the HCF of 9711,5174?
The HCF of 9711,5174 is 13
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 9711/697, 5174/4551?
Answer: GCF of Numerators as per given numbers 9711/697, 5174/4551 is
GCF of Numerators i.e. for 9711,5174 is 13
LCM of denominators i.e. for 697,4551 is 77367.
Thus, GCF of Fractions is 13/77367.Finally, GCF of Fractions for 9711/697, 5174/4551 is 13/77367.