GCF of 8787/854, 3217/2026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8787/854, 3217/2026 i.e 1/865102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8787/854, 3217/2026.
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 8787/854,3217/2026?
Given fractions are 8787/854,3217/2026
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 8787/854,3217/2026, numerators are 8787,3217
Denominators are 854,2026
The GCF of 8787,3217 is 1 .
LCM of 854,2026 is 865102.
The greatest common factor of 8787/854,3217/2026 = [GCF of 8787,3217]/[LCM of 854,2026]= 1/865102
Therefore, the GCF of 8787/854,3217/2026 is 1/865102.
To find the highest common factor of 8787,3217, we have to find the factors of both numbers and list the highest common factor.
The factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787
The factors of 3217 are 1, 3217
The HCF of 8787,3217 is 1.
Lets's calculate GCF of 8787,3217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8787,3217 By Matching Biggest Common Factor Method
Now, list down the factors of 8787
:1,3,29,87,101,303,2929,8787
Now, list down the factors of 3217
:1,3217
Greatest Common Factor
We found the factors 8787,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,3217 is 1.
Lets's calculate LCM of 854,2026
| 2 | 854, 2026 |
| 427, 1013 |
∴ So the LCM of the given numbers is 2 x 427 x 1013 = 865102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/865102
Therefore, the GCF of Fractions 8787/854,3217/2026 is 1/865102
Least Common Multiple of 854,2026 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 854,2026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,2026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,2026) x common factors =2 x 1 = 2
LCM(854,2026) = ( 854 × 2026 ) / 2
LCM(854,2026) = 1730204 / 2
LCM(854,2026) = 865102
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FAQs on GCF of Fractions of 8787/854, 3217/2026
1. What is the HCF of 8787,3217?
The HCF of 8787,3217 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 8787/854, 3217/2026?
Answer: GCF of Numerators as per given numbers 8787/854, 3217/2026 is
GCF of Numerators i.e. for 8787,3217 is 1
LCM of denominators i.e. for 854,2026 is 865102.
Thus, GCF of Fractions is 1/865102.Finally, GCF of Fractions for 8787/854, 3217/2026 is 1/865102.