GCF of 1651/729, 5389/7918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1651/729, 5389/7918 i.e 1/5772222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1651/729, 5389/7918.
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 1651/729,5389/7918?
Given fractions are 1651/729,5389/7918
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 1651/729,5389/7918, numerators are 1651,5389
Denominators are 729,7918
The GCF of 1651,5389 is 1 .
LCM of 729,7918 is 5772222.
The greatest common factor of 1651/729,5389/7918 = [GCF of 1651,5389]/[LCM of 729,7918]= 1/5772222
Therefore, the GCF of 1651/729,5389/7918 is 1/5772222.
To find the highest common factor of 1651,5389, we have to find the factors of both numbers and list the highest common factor.
The factors of 1651 are 1, 13, 127, 1651
The factors of 5389 are 1, 17, 317, 5389
The HCF of 1651,5389 is 1.
Lets's calculate GCF of 1651,5389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1651,5389 By Matching Biggest Common Factor Method
Now, list down the factors of 1651
:1,13,127,1651
Now, list down the factors of 5389
:1,17,317,5389
Greatest Common Factor
We found the factors 1651,5389 . The biggest common factor number is the GCF number.
So the greatest common factor 1651,5389 is 1.
Lets's calculate LCM of 729,7918
Given numbers has no common factors except 1. So, there LCM is their product i.e 5772222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5772222
Therefore, the GCF of Fractions 1651/729,5389/7918 is 1/5772222
Least Common Multiple of 729,7918 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 729,7918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,7918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,7918) x common factors =1 x 1 = 1
LCM(729,7918) = ( 729 × 7918 ) / 1
LCM(729,7918) = 5772222 / 1
LCM(729,7918) = 5772222
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FAQs on GCF of Fractions of 1651/729, 5389/7918
1. What is the HCF of 1651,5389?
The HCF of 1651,5389 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 1651/729, 5389/7918?
Answer: GCF of Numerators as per given numbers 1651/729, 5389/7918 is
GCF of Numerators i.e. for 1651,5389 is 1
LCM of denominators i.e. for 729,7918 is 5772222.
Thus, GCF of Fractions is 1/5772222.Finally, GCF of Fractions for 1651/729, 5389/7918 is 1/5772222.