GCF of 8511/218, 8269/7032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8511/218, 8269/7032 i.e 1/766488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8511/218, 8269/7032.
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 8511/218,8269/7032?
Given fractions are 8511/218,8269/7032
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 8511/218,8269/7032, numerators are 8511,8269
Denominators are 218,7032
The GCF of 8511,8269 is 1 .
LCM of 218,7032 is 766488.
The greatest common factor of 8511/218,8269/7032 = [GCF of 8511,8269]/[LCM of 218,7032]= 1/766488
Therefore, the GCF of 8511/218,8269/7032 is 1/766488.
To find the highest common factor of 8511,8269, we have to find the factors of both numbers and list the highest common factor.
The factors of 8511 are 1, 3, 2837, 8511
The factors of 8269 are 1, 8269
The HCF of 8511,8269 is 1.
Lets's calculate GCF of 8511,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8511,8269 By Matching Biggest Common Factor Method
Now, list down the factors of 8511
:1,3,2837,8511
Now, list down the factors of 8269
:1,8269
Greatest Common Factor
We found the factors 8511,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 8511,8269 is 1.
Lets's calculate LCM of 218,7032
| 2 | 218, 7032 |
| 109, 3516 |
∴ So the LCM of the given numbers is 2 x 109 x 3516 = 766488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766488
Therefore, the GCF of Fractions 8511/218,8269/7032 is 1/766488
Least Common Multiple of 218,7032 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 218,7032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,7032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,7032) x common factors =2 x 1 = 2
LCM(218,7032) = ( 218 × 7032 ) / 2
LCM(218,7032) = 1532976 / 2
LCM(218,7032) = 766488
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FAQs on GCF of Fractions of 8511/218, 8269/7032
1. What is the HCF of 8511,8269?
The HCF of 8511,8269 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 8511/218, 8269/7032?
Answer: GCF of Numerators as per given numbers 8511/218, 8269/7032 is
GCF of Numerators i.e. for 8511,8269 is 1
LCM of denominators i.e. for 218,7032 is 766488.
Thus, GCF of Fractions is 1/766488.Finally, GCF of Fractions for 8511/218, 8269/7032 is 1/766488.