GCF of 6514/209, 8691/8646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6514/209, 8691/8646 i.e 1/164274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6514/209, 8691/8646.
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 6514/209,8691/8646?
Given fractions are 6514/209,8691/8646
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 6514/209,8691/8646, numerators are 6514,8691
Denominators are 209,8646
The GCF of 6514,8691 is 1 .
LCM of 209,8646 is 164274.
The greatest common factor of 6514/209,8691/8646 = [GCF of 6514,8691]/[LCM of 209,8646]= 1/164274
Therefore, the GCF of 6514/209,8691/8646 is 1/164274.
To find the highest common factor of 6514,8691, we have to find the factors of both numbers and list the highest common factor.
The factors of 6514 are 1, 2, 3257, 6514
The factors of 8691 are 1, 3, 2897, 8691
The HCF of 6514,8691 is 1.
Lets's calculate GCF of 6514,8691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6514,8691 By Matching Biggest Common Factor Method
Now, list down the factors of 6514
:1,2,3257,6514
Now, list down the factors of 8691
:1,3,2897,8691
Greatest Common Factor
We found the factors 6514,8691 . The biggest common factor number is the GCF number.
So the greatest common factor 6514,8691 is 1.
Lets's calculate LCM of 209,8646
| 11 | 209, 8646 |
| 19, 786 |
∴ So the LCM of the given numbers is 11 x 19 x 786 = 164274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164274
Therefore, the GCF of Fractions 6514/209,8691/8646 is 1/164274
Least Common Multiple of 209,8646 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 209,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,8646) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(209,8646) x common factors =11 x 1 = 11
LCM(209,8646) = ( 209 × 8646 ) / 11
LCM(209,8646) = 1807014 / 11
LCM(209,8646) = 164274
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FAQs on GCF of Fractions of 6514/209, 8691/8646
1. What is the HCF of 6514,8691?
The HCF of 6514,8691 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 6514/209, 8691/8646?
Answer: GCF of Numerators as per given numbers 6514/209, 8691/8646 is
GCF of Numerators i.e. for 6514,8691 is 1
LCM of denominators i.e. for 209,8646 is 164274.
Thus, GCF of Fractions is 1/164274.Finally, GCF of Fractions for 6514/209, 8691/8646 is 1/164274.