GCF of 7614/954, 6806/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7614/954, 6806/841 i.e 2/802314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7614/954, 6806/841.
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 7614/954,6806/841?
Given fractions are 7614/954,6806/841
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 7614/954,6806/841, numerators are 7614,6806
Denominators are 954,841
The GCF of 7614,6806 is 2 .
LCM of 954,841 is 802314.
The greatest common factor of 7614/954,6806/841 = [GCF of 7614,6806]/[LCM of 954,841]= 2/802314
Therefore, the GCF of 7614/954,6806/841 is 2/802314.
To find the highest common factor of 7614,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 7614,6806 is 2.
Lets's calculate GCF of 7614,6806
| 2 | 7614, 6806 |
| 3807, 3403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7614,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 7614
:1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 7614,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 7614,6806 is 2.
Lets's calculate LCM of 954,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 802314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/802314
Therefore, the GCF of Fractions 7614/954,6806/841 is 2/802314
Least Common Multiple of 954,841 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 954,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,841) x common factors =1 x 1 = 1
LCM(954,841) = ( 954 × 841 ) / 1
LCM(954,841) = 802314 / 1
LCM(954,841) = 802314
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FAQs on GCF of Fractions of 7614/954, 6806/841
1. What is the HCF of 7614,6806?
The HCF of 7614,6806 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 7614/954, 6806/841?
Answer: GCF of Numerators as per given numbers 7614/954, 6806/841 is
GCF of Numerators i.e. for 7614,6806 is 2
LCM of denominators i.e. for 954,841 is 802314.
Thus, GCF of Fractions is 2/802314.Finally, GCF of Fractions for 7614/954, 6806/841 is 2/802314.