GCF of 7866/634, 8529/8421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7866/634, 8529/8421 i.e 3/5338914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7866/634, 8529/8421.
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 7866/634,8529/8421?
Given fractions are 7866/634,8529/8421
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 7866/634,8529/8421, numerators are 7866,8529
Denominators are 634,8421
The GCF of 7866,8529 is 3 .
LCM of 634,8421 is 5338914.
The greatest common factor of 7866/634,8529/8421 = [GCF of 7866,8529]/[LCM of 634,8421]= 3/5338914
Therefore, the GCF of 7866/634,8529/8421 is 3/5338914.
To find the highest common factor of 7866,8529, we have to find the factors of both numbers and list the highest common factor.
The factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The factors of 8529 are 1, 3, 2843, 8529
The HCF of 7866,8529 is 3.
Lets's calculate GCF of 7866,8529
| 3 | 7866, 8529 |
| 2622, 2843 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7866,8529 By Matching Biggest Common Factor Method
Now, list down the factors of 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Now, list down the factors of 8529
:1,3,2843,8529
Greatest Common Factor
We found the factors 7866,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 7866,8529 is 3.
Lets's calculate LCM of 634,8421
Given numbers has no common factors except 1. So, there LCM is their product i.e 5338914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5338914
Therefore, the GCF of Fractions 7866/634,8529/8421 is 3/5338914
Least Common Multiple of 634,8421 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 634,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,8421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,8421) x common factors =1 x 1 = 1
LCM(634,8421) = ( 634 × 8421 ) / 1
LCM(634,8421) = 5338914 / 1
LCM(634,8421) = 5338914
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FAQs on GCF of Fractions of 7866/634, 8529/8421
1. What is the HCF of 7866,8529?
The HCF of 7866,8529 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 7866/634, 8529/8421?
Answer: GCF of Numerators as per given numbers 7866/634, 8529/8421 is
GCF of Numerators i.e. for 7866,8529 is 3
LCM of denominators i.e. for 634,8421 is 5338914.
Thus, GCF of Fractions is 3/5338914.Finally, GCF of Fractions for 7866/634, 8529/8421 is 3/5338914.