GCF of 6406/218, 7189/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6406/218, 7189/687 i.e 1/149766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6406/218, 7189/687.
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 6406/218,7189/687?
Given fractions are 6406/218,7189/687
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 6406/218,7189/687, numerators are 6406,7189
Denominators are 218,687
The GCF of 6406,7189 is 1 .
LCM of 218,687 is 149766.
The greatest common factor of 6406/218,7189/687 = [GCF of 6406,7189]/[LCM of 218,687]= 1/149766
Therefore, the GCF of 6406/218,7189/687 is 1/149766.
To find the highest common factor of 6406,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 6406 are 1, 2, 3203, 6406
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 6406,7189 is 1.
Lets's calculate GCF of 6406,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6406,7189 By Matching Biggest Common Factor Method
Now, list down the factors of 6406
:1,2,3203,6406
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 6406,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 6406,7189 is 1.
Lets's calculate LCM of 218,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 149766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149766
Therefore, the GCF of Fractions 6406/218,7189/687 is 1/149766
Least Common Multiple of 218,687 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 218,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,687) x common factors =1 x 1 = 1
LCM(218,687) = ( 218 × 687 ) / 1
LCM(218,687) = 149766 / 1
LCM(218,687) = 149766
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FAQs on GCF of Fractions of 6406/218, 7189/687
1. What is the HCF of 6406,7189?
The HCF of 6406,7189 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 6406/218, 7189/687?
Answer: GCF of Numerators as per given numbers 6406/218, 7189/687 is
GCF of Numerators i.e. for 6406,7189 is 1
LCM of denominators i.e. for 218,687 is 149766.
Thus, GCF of Fractions is 1/149766.Finally, GCF of Fractions for 6406/218, 7189/687 is 1/149766.