GCF of 7869/266, 8535/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7869/266, 8535/265 i.e 3/70490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7869/266, 8535/265.
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 7869/266,8535/265?
Given fractions are 7869/266,8535/265
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 7869/266,8535/265, numerators are 7869,8535
Denominators are 266,265
The GCF of 7869,8535 is 3 .
LCM of 266,265 is 70490.
The greatest common factor of 7869/266,8535/265 = [GCF of 7869,8535]/[LCM of 266,265]= 3/70490
Therefore, the GCF of 7869/266,8535/265 is 3/70490.
To find the highest common factor of 7869,8535, we have to find the factors of both numbers and list the highest common factor.
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535
The HCF of 7869,8535 is 3.
Lets's calculate GCF of 7869,8535
| 3 | 7869, 8535 |
| 2623, 2845 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7869,8535 By Matching Biggest Common Factor Method
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Now, list down the factors of 8535
:1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 7869,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,8535 is 3.
Lets's calculate LCM of 266,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 70490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70490
Therefore, the GCF of Fractions 7869/266,8535/265 is 3/70490
Least Common Multiple of 266,265 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 266,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,265) x common factors =1 x 1 = 1
LCM(266,265) = ( 266 × 265 ) / 1
LCM(266,265) = 70490 / 1
LCM(266,265) = 70490
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FAQs on GCF of Fractions of 7869/266, 8535/265
1. What is the HCF of 7869,8535?
The HCF of 7869,8535 is 3
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 7869/266, 8535/265?
Answer: GCF of Numerators as per given numbers 7869/266, 8535/265 is
GCF of Numerators i.e. for 7869,8535 is 3
LCM of denominators i.e. for 266,265 is 70490.
Thus, GCF of Fractions is 3/70490.Finally, GCF of Fractions for 7869/266, 8535/265 is 3/70490.