GCF of 7310/174, 7761/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7310/174, 7761/906 i.e 1/26274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7310/174, 7761/906.
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 7310/174,7761/906?
Given fractions are 7310/174,7761/906
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 7310/174,7761/906, numerators are 7310,7761
Denominators are 174,906
The GCF of 7310,7761 is 1 .
LCM of 174,906 is 26274.
The greatest common factor of 7310/174,7761/906 = [GCF of 7310,7761]/[LCM of 174,906]= 1/26274
Therefore, the GCF of 7310/174,7761/906 is 1/26274.
To find the highest common factor of 7310,7761, we have to find the factors of both numbers and list the highest common factor.
The factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The HCF of 7310,7761 is 1.
Lets's calculate GCF of 7310,7761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7310,7761 By Matching Biggest Common Factor Method
Now, list down the factors of 7310
:1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Greatest Common Factor
We found the factors 7310,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,7761 is 1.
Lets's calculate LCM of 174,906
| 2 | 174, 906 |
| 3 | 87, 453 |
| 29, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 151 = 26274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26274
Therefore, the GCF of Fractions 7310/174,7761/906 is 1/26274
Least Common Multiple of 174,906 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 174,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,906) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,906) x common factors =6 x 1 = 6
LCM(174,906) = ( 174 × 906 ) / 6
LCM(174,906) = 157644 / 6
LCM(174,906) = 26274
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FAQs on GCF of Fractions of 7310/174, 7761/906
1. What is the HCF of 7310,7761?
The HCF of 7310,7761 is 1
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 7310/174, 7761/906?
Answer: GCF of Numerators as per given numbers 7310/174, 7761/906 is
GCF of Numerators i.e. for 7310,7761 is 1
LCM of denominators i.e. for 174,906 is 26274.
Thus, GCF of Fractions is 1/26274.Finally, GCF of Fractions for 7310/174, 7761/906 is 1/26274.