GCF of 867/651, 298/335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/651, 298/335 i.e 1/218085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/651, 298/335.
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 867/651,298/335?
Given fractions are 867/651,298/335
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 867/651,298/335, numerators are 867,298
Denominators are 651,335
The GCF of 867,298 is 1 .
LCM of 651,335 is 218085.
The greatest common factor of 867/651,298/335 = [GCF of 867,298]/[LCM of 651,335]= 1/218085
Therefore, the GCF of 867/651,298/335 is 1/218085.
To find the highest common factor of 867,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 298 are 1, 2, 149, 298
The HCF of 867,298 is 1.
Lets's calculate GCF of 867,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,298 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 867,298 . The biggest common factor number is the GCF number.
So the greatest common factor 867,298 is 1.
Lets's calculate LCM of 651,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 218085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218085
Therefore, the GCF of Fractions 867/651,298/335 is 1/218085
Least Common Multiple of 651,335 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 651,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,335) x common factors =1 x 1 = 1
LCM(651,335) = ( 651 × 335 ) / 1
LCM(651,335) = 218085 / 1
LCM(651,335) = 218085
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FAQs on GCF of Fractions of 867/651, 298/335
1. What is the HCF of 867,298?
The HCF of 867,298 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 867/651, 298/335?
Answer: GCF of Numerators as per given numbers 867/651, 298/335 is
GCF of Numerators i.e. for 867,298 is 1
LCM of denominators i.e. for 651,335 is 218085.
Thus, GCF of Fractions is 1/218085.Finally, GCF of Fractions for 867/651, 298/335 is 1/218085.