GCF of 6868/547, 8514/8491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6868/547, 8514/8491 i.e 2/4644577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6868/547, 8514/8491.
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 6868/547,8514/8491?
Given fractions are 6868/547,8514/8491
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 6868/547,8514/8491, numerators are 6868,8514
Denominators are 547,8491
The GCF of 6868,8514 is 2 .
LCM of 547,8491 is 4644577.
The greatest common factor of 6868/547,8514/8491 = [GCF of 6868,8514]/[LCM of 547,8491]= 2/4644577
Therefore, the GCF of 6868/547,8514/8491 is 2/4644577.
To find the highest common factor of 6868,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 6868,8514 is 2.
Lets's calculate GCF of 6868,8514
| 2 | 6868, 8514 |
| 3434, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6868,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 6868,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 6868,8514 is 2.
Lets's calculate LCM of 547,8491
Given numbers has no common factors except 1. So, there LCM is their product i.e 4644577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4644577
Therefore, the GCF of Fractions 6868/547,8514/8491 is 2/4644577
Least Common Multiple of 547,8491 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 547,8491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,8491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,8491) x common factors =1 x 1 = 1
LCM(547,8491) = ( 547 × 8491 ) / 1
LCM(547,8491) = 4644577 / 1
LCM(547,8491) = 4644577
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FAQs on GCF of Fractions of 6868/547, 8514/8491
1. What is the HCF of 6868,8514?
The HCF of 6868,8514 is 2
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 6868/547, 8514/8491?
Answer: GCF of Numerators as per given numbers 6868/547, 8514/8491 is
GCF of Numerators i.e. for 6868,8514 is 2
LCM of denominators i.e. for 547,8491 is 4644577.
Thus, GCF of Fractions is 2/4644577.Finally, GCF of Fractions for 6868/547, 8514/8491 is 2/4644577.