GCF of 8179/917, 8748/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8179/917, 8748/820 i.e 1/751940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8179/917, 8748/820.
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 8179/917,8748/820?
Given fractions are 8179/917,8748/820
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 8179/917,8748/820, numerators are 8179,8748
Denominators are 917,820
The GCF of 8179,8748 is 1 .
LCM of 917,820 is 751940.
The greatest common factor of 8179/917,8748/820 = [GCF of 8179,8748]/[LCM of 917,820]= 1/751940
Therefore, the GCF of 8179/917,8748/820 is 1/751940.
To find the highest common factor of 8179,8748, we have to find the factors of both numbers and list the highest common factor.
The factors of 8179 are 1, 8179
The factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748
The HCF of 8179,8748 is 1.
Lets's calculate GCF of 8179,8748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8179,8748 By Matching Biggest Common Factor Method
Now, list down the factors of 8179
:1,8179
Now, list down the factors of 8748
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748
Greatest Common Factor
We found the factors 8179,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 8179,8748 is 1.
Lets's calculate LCM of 917,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 751940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751940
Therefore, the GCF of Fractions 8179/917,8748/820 is 1/751940
Least Common Multiple of 917,820 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 917,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,820) x common factors =1 x 1 = 1
LCM(917,820) = ( 917 × 820 ) / 1
LCM(917,820) = 751940 / 1
LCM(917,820) = 751940
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FAQs on GCF of Fractions of 8179/917, 8748/820
1. What is the HCF of 8179,8748?
The HCF of 8179,8748 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 8179/917, 8748/820?
Answer: GCF of Numerators as per given numbers 8179/917, 8748/820 is
GCF of Numerators i.e. for 8179,8748 is 1
LCM of denominators i.e. for 917,820 is 751940.
Thus, GCF of Fractions is 1/751940.Finally, GCF of Fractions for 8179/917, 8748/820 is 1/751940.