GCF of 9289/977, 7315/6855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9289/977, 7315/6855 i.e 7/6697335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9289/977, 7315/6855.
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 9289/977,7315/6855?
Given fractions are 9289/977,7315/6855
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 9289/977,7315/6855, numerators are 9289,7315
Denominators are 977,6855
The GCF of 9289,7315 is 7 .
LCM of 977,6855 is 6697335.
The greatest common factor of 9289/977,7315/6855 = [GCF of 9289,7315]/[LCM of 977,6855]= 7/6697335
Therefore, the GCF of 9289/977,7315/6855 is 7/6697335.
To find the highest common factor of 9289,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 9289 are 1, 7, 1327, 9289
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 9289,7315 is 7.
Lets's calculate GCF of 9289,7315
| 7 | 9289, 7315 |
| 1327, 1045 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9289,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 9289
:1,7,1327,9289
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 9289,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 9289,7315 is 7.
Lets's calculate LCM of 977,6855
Given numbers has no common factors except 1. So, there LCM is their product i.e 6697335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6697335
Therefore, the GCF of Fractions 9289/977,7315/6855 is 7/6697335
Least Common Multiple of 977,6855 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 977,6855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,6855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,6855) x common factors =1 x 1 = 1
LCM(977,6855) = ( 977 × 6855 ) / 1
LCM(977,6855) = 6697335 / 1
LCM(977,6855) = 6697335
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FAQs on GCF of Fractions of 9289/977, 7315/6855
1. What is the HCF of 9289,7315?
The HCF of 9289,7315 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 9289/977, 7315/6855?
Answer: GCF of Numerators as per given numbers 9289/977, 7315/6855 is
GCF of Numerators i.e. for 9289,7315 is 7
LCM of denominators i.e. for 977,6855 is 6697335.
Thus, GCF of Fractions is 7/6697335.Finally, GCF of Fractions for 9289/977, 7315/6855 is 7/6697335.