GCF of 1228/602, 6682/6823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1228/602, 6682/6823 i.e 2/4107446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1228/602, 6682/6823.
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 1228/602,6682/6823?
Given fractions are 1228/602,6682/6823
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 1228/602,6682/6823, numerators are 1228,6682
Denominators are 602,6823
The GCF of 1228,6682 is 2 .
LCM of 602,6823 is 4107446.
The greatest common factor of 1228/602,6682/6823 = [GCF of 1228,6682]/[LCM of 602,6823]= 2/4107446
Therefore, the GCF of 1228/602,6682/6823 is 2/4107446.
To find the highest common factor of 1228,6682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1228 are 1, 2, 4, 307, 614, 1228
The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682
The HCF of 1228,6682 is 2.
Lets's calculate GCF of 1228,6682
| 2 | 1228, 6682 |
| 614, 3341 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1228,6682 By Matching Biggest Common Factor Method
Now, list down the factors of 1228
:1,2,4,307,614,1228
Now, list down the factors of 6682
:1,2,13,26,257,514,3341,6682
Greatest Common Factor
We found the factors 1228,6682 . The biggest common factor number is the GCF number.
So the greatest common factor 1228,6682 is 2.
Lets's calculate LCM of 602,6823
Given numbers has no common factors except 1. So, there LCM is their product i.e 4107446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4107446
Therefore, the GCF of Fractions 1228/602,6682/6823 is 2/4107446
Least Common Multiple of 602,6823 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 602,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,6823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,6823) x common factors =1 x 1 = 1
LCM(602,6823) = ( 602 × 6823 ) / 1
LCM(602,6823) = 4107446 / 1
LCM(602,6823) = 4107446
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FAQs on GCF of Fractions of 1228/602, 6682/6823
1. What is the HCF of 1228,6682?
The HCF of 1228,6682 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 1228/602, 6682/6823?
Answer: GCF of Numerators as per given numbers 1228/602, 6682/6823 is
GCF of Numerators i.e. for 1228,6682 is 2
LCM of denominators i.e. for 602,6823 is 4107446.
Thus, GCF of Fractions is 2/4107446.Finally, GCF of Fractions for 1228/602, 6682/6823 is 2/4107446.