GCF of 8351/923, 1267/8509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8351/923, 1267/8509 i.e 7/7853807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8351/923, 1267/8509.
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 8351/923,1267/8509?
Given fractions are 8351/923,1267/8509
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 8351/923,1267/8509, numerators are 8351,1267
Denominators are 923,8509
The GCF of 8351,1267 is 7 .
LCM of 923,8509 is 7853807.
The greatest common factor of 8351/923,1267/8509 = [GCF of 8351,1267]/[LCM of 923,8509]= 7/7853807
Therefore, the GCF of 8351/923,1267/8509 is 7/7853807.
To find the highest common factor of 8351,1267, we have to find the factors of both numbers and list the highest common factor.
The factors of 8351 are 1, 7, 1193, 8351
The factors of 1267 are 1, 7, 181, 1267
The HCF of 8351,1267 is 7.
Lets's calculate GCF of 8351,1267
| 7 | 8351, 1267 |
| 1193, 181 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8351,1267 By Matching Biggest Common Factor Method
Now, list down the factors of 8351
:1,7,1193,8351
Now, list down the factors of 1267
:1,7,181,1267
Greatest Common Factor
We found the factors 8351,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,1267 is 7.
Lets's calculate LCM of 923,8509
Given numbers has no common factors except 1. So, there LCM is their product i.e 7853807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7853807
Therefore, the GCF of Fractions 8351/923,1267/8509 is 7/7853807
Least Common Multiple of 923,8509 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 923,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,8509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,8509) x common factors =1 x 1 = 1
LCM(923,8509) = ( 923 × 8509 ) / 1
LCM(923,8509) = 7853807 / 1
LCM(923,8509) = 7853807
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FAQs on GCF of Fractions of 8351/923, 1267/8509
1. What is the HCF of 8351,1267?
The HCF of 8351,1267 is 7
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 8351/923, 1267/8509?
Answer: GCF of Numerators as per given numbers 8351/923, 1267/8509 is
GCF of Numerators i.e. for 8351,1267 is 7
LCM of denominators i.e. for 923,8509 is 7853807.
Thus, GCF of Fractions is 7/7853807.Finally, GCF of Fractions for 8351/923, 1267/8509 is 7/7853807.