GCF of 6886/623, 8542/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6886/623, 8542/523 i.e 2/325829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6886/623, 8542/523.
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 6886/623,8542/523?
Given fractions are 6886/623,8542/523
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 6886/623,8542/523, numerators are 6886,8542
Denominators are 623,523
The GCF of 6886,8542 is 2 .
LCM of 623,523 is 325829.
The greatest common factor of 6886/623,8542/523 = [GCF of 6886,8542]/[LCM of 623,523]= 2/325829
Therefore, the GCF of 6886/623,8542/523 is 2/325829.
To find the highest common factor of 6886,8542, we have to find the factors of both numbers and list the highest common factor.
The factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886
The factors of 8542 are 1, 2, 4271, 8542
The HCF of 6886,8542 is 2.
Lets's calculate GCF of 6886,8542
| 2 | 6886, 8542 |
| 3443, 4271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6886,8542 By Matching Biggest Common Factor Method
Now, list down the factors of 6886
:1,2,11,22,313,626,3443,6886
Now, list down the factors of 8542
:1,2,4271,8542
Greatest Common Factor
We found the factors 6886,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 6886,8542 is 2.
Lets's calculate LCM of 623,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 325829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/325829
Therefore, the GCF of Fractions 6886/623,8542/523 is 2/325829
Least Common Multiple of 623,523 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 623,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,523) x common factors =1 x 1 = 1
LCM(623,523) = ( 623 × 523 ) / 1
LCM(623,523) = 325829 / 1
LCM(623,523) = 325829
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FAQs on GCF of Fractions of 6886/623, 8542/523
1. What is the HCF of 6886,8542?
The HCF of 6886,8542 is 2
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 6886/623, 8542/523?
Answer: GCF of Numerators as per given numbers 6886/623, 8542/523 is
GCF of Numerators i.e. for 6886,8542 is 2
LCM of denominators i.e. for 623,523 is 325829.
Thus, GCF of Fractions is 2/325829.Finally, GCF of Fractions for 6886/623, 8542/523 is 2/325829.