GCF of 6069/620, 5775/5661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6069/620, 5775/5661 i.e 21/3509820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6069/620, 5775/5661.
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 6069/620,5775/5661?
Given fractions are 6069/620,5775/5661
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 6069/620,5775/5661, numerators are 6069,5775
Denominators are 620,5661
The GCF of 6069,5775 is 21 .
LCM of 620,5661 is 3509820.
The greatest common factor of 6069/620,5775/5661 = [GCF of 6069,5775]/[LCM of 620,5661]= 21/3509820
Therefore, the GCF of 6069/620,5775/5661 is 21/3509820.
To find the highest common factor of 6069,5775, 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 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The HCF of 6069,5775 is 21.
Lets's calculate GCF of 6069,5775
| 3 | 6069, 5775 |
| 7 | 2023, 1925 |
| 289, 275 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6069,5775 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 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 6069,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,5775 is 21.
Lets's calculate LCM of 620,5661
Given numbers has no common factors except 1. So, there LCM is their product i.e 3509820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/3509820
Therefore, the GCF of Fractions 6069/620,5775/5661 is 21/3509820
Least Common Multiple of 620,5661 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 620,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,5661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,5661) x common factors =1 x 1 = 1
LCM(620,5661) = ( 620 × 5661 ) / 1
LCM(620,5661) = 3509820 / 1
LCM(620,5661) = 3509820
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FAQs on GCF of Fractions of 6069/620, 5775/5661
1. What is the HCF of 6069,5775?
The HCF of 6069,5775 is 21
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 6069/620, 5775/5661?
Answer: GCF of Numerators as per given numbers 6069/620, 5775/5661 is
GCF of Numerators i.e. for 6069,5775 is 21
LCM of denominators i.e. for 620,5661 is 3509820.
Thus, GCF of Fractions is 21/3509820.Finally, GCF of Fractions for 6069/620, 5775/5661 is 21/3509820.