GCF of 4218/667, 3487/9902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4218/667, 3487/9902 i.e 1/6604634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4218/667, 3487/9902.
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 4218/667,3487/9902?
Given fractions are 4218/667,3487/9902
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 4218/667,3487/9902, numerators are 4218,3487
Denominators are 667,9902
The GCF of 4218,3487 is 1 .
LCM of 667,9902 is 6604634.
The greatest common factor of 4218/667,3487/9902 = [GCF of 4218,3487]/[LCM of 667,9902]= 1/6604634
Therefore, the GCF of 4218/667,3487/9902 is 1/6604634.
To find the highest common factor of 4218,3487, we have to find the factors of both numbers and list the highest common factor.
The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The factors of 3487 are 1, 11, 317, 3487
The HCF of 4218,3487 is 1.
Lets's calculate GCF of 4218,3487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4218,3487 By Matching Biggest Common Factor Method
Now, list down the factors of 4218
:1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Now, list down the factors of 3487
:1,11,317,3487
Greatest Common Factor
We found the factors 4218,3487 . The biggest common factor number is the GCF number.
So the greatest common factor 4218,3487 is 1.
Lets's calculate LCM of 667,9902
Given numbers has no common factors except 1. So, there LCM is their product i.e 6604634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6604634
Therefore, the GCF of Fractions 4218/667,3487/9902 is 1/6604634
Least Common Multiple of 667,9902 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 667,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9902) x common factors =1 x 1 = 1
LCM(667,9902) = ( 667 × 9902 ) / 1
LCM(667,9902) = 6604634 / 1
LCM(667,9902) = 6604634
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FAQs on GCF of Fractions of 4218/667, 3487/9902
1. What is the HCF of 4218,3487?
The HCF of 4218,3487 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 4218/667, 3487/9902?
Answer: GCF of Numerators as per given numbers 4218/667, 3487/9902 is
GCF of Numerators i.e. for 4218,3487 is 1
LCM of denominators i.e. for 667,9902 is 6604634.
Thus, GCF of Fractions is 1/6604634.Finally, GCF of Fractions for 4218/667, 3487/9902 is 1/6604634.