GCF of 7688/827, 8659/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7688/827, 8659/162 i.e 1/133974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/827, 8659/162.
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 7688/827,8659/162?
Given fractions are 7688/827,8659/162
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 7688/827,8659/162, numerators are 7688,8659
Denominators are 827,162
The GCF of 7688,8659 is 1 .
LCM of 827,162 is 133974.
The greatest common factor of 7688/827,8659/162 = [GCF of 7688,8659]/[LCM of 827,162]= 1/133974
Therefore, the GCF of 7688/827,8659/162 is 1/133974.
To find the highest common factor of 7688,8659, we have to find the factors of both numbers and list the highest common factor.
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The factors of 8659 are 1, 7, 1237, 8659
The HCF of 7688,8659 is 1.
Lets's calculate GCF of 7688,8659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7688,8659 By Matching Biggest Common Factor Method
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Now, list down the factors of 8659
:1,7,1237,8659
Greatest Common Factor
We found the factors 7688,8659 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,8659 is 1.
Lets's calculate LCM of 827,162
Given numbers has no common factors except 1. So, there LCM is their product i.e 133974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133974
Therefore, the GCF of Fractions 7688/827,8659/162 is 1/133974
Least Common Multiple of 827,162 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 827,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,162) x common factors =1 x 1 = 1
LCM(827,162) = ( 827 × 162 ) / 1
LCM(827,162) = 133974 / 1
LCM(827,162) = 133974
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FAQs on GCF of Fractions of 7688/827, 8659/162
1. What is the HCF of 7688,8659?
The HCF of 7688,8659 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 7688/827, 8659/162?
Answer: GCF of Numerators as per given numbers 7688/827, 8659/162 is
GCF of Numerators i.e. for 7688,8659 is 1
LCM of denominators i.e. for 827,162 is 133974.
Thus, GCF of Fractions is 1/133974.Finally, GCF of Fractions for 7688/827, 8659/162 is 1/133974.