GCF of 6069/378, 3122/8689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6069/378, 3122/8689 i.e 7/3284442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6069/378, 3122/8689.
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 6069/378,3122/8689?
Given fractions are 6069/378,3122/8689
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 6069/378,3122/8689, numerators are 6069,3122
Denominators are 378,8689
The GCF of 6069,3122 is 7 .
LCM of 378,8689 is 3284442.
The greatest common factor of 6069/378,3122/8689 = [GCF of 6069,3122]/[LCM of 378,8689]= 7/3284442
Therefore, the GCF of 6069/378,3122/8689 is 7/3284442.
To find the highest common factor of 6069,3122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The HCF of 6069,3122 is 7.
Lets's calculate GCF of 6069,3122
| 7 | 6069, 3122 |
| 867, 446 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6069,3122 By Matching Biggest Common Factor Method
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 6069,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,3122 is 7.
Lets's calculate LCM of 378,8689
Given numbers has no common factors except 1. So, there LCM is their product i.e 3284442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3284442
Therefore, the GCF of Fractions 6069/378,3122/8689 is 7/3284442
Least Common Multiple of 378,8689 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 378,8689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,8689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,8689) x common factors =1 x 1 = 1
LCM(378,8689) = ( 378 × 8689 ) / 1
LCM(378,8689) = 3284442 / 1
LCM(378,8689) = 3284442
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FAQs on GCF of Fractions of 6069/378, 3122/8689
1. What is the HCF of 6069,3122?
The HCF of 6069,3122 is 7
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 6069/378, 3122/8689?
Answer: GCF of Numerators as per given numbers 6069/378, 3122/8689 is
GCF of Numerators i.e. for 6069,3122 is 7
LCM of denominators i.e. for 378,8689 is 3284442.
Thus, GCF of Fractions is 7/3284442.Finally, GCF of Fractions for 6069/378, 3122/8689 is 7/3284442.