GCF of 1464/846, 6069/6692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1464/846, 6069/6692 i.e 3/2830716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1464/846, 6069/6692.
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 1464/846,6069/6692?
Given fractions are 1464/846,6069/6692
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 1464/846,6069/6692, numerators are 1464,6069
Denominators are 846,6692
The GCF of 1464,6069 is 3 .
LCM of 846,6692 is 2830716.
The greatest common factor of 1464/846,6069/6692 = [GCF of 1464,6069]/[LCM of 846,6692]= 3/2830716
Therefore, the GCF of 1464/846,6069/6692 is 3/2830716.
To find the highest common factor of 1464,6069, we have to find the factors of both numbers and list the highest common factor.
The factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 1464,6069 is 3.
Lets's calculate GCF of 1464,6069
| 3 | 1464, 6069 |
| 488, 2023 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1464,6069 By Matching Biggest Common Factor Method
Now, list down the factors of 1464
:1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 1464,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,6069 is 3.
Lets's calculate LCM of 846,6692
| 2 | 846, 6692 |
| 423, 3346 |
∴ So the LCM of the given numbers is 2 x 423 x 3346 = 2830716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2830716
Therefore, the GCF of Fractions 1464/846,6069/6692 is 3/2830716
Least Common Multiple of 846,6692 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 846,6692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,6692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,6692) x common factors =2 x 1 = 2
LCM(846,6692) = ( 846 × 6692 ) / 2
LCM(846,6692) = 5661432 / 2
LCM(846,6692) = 2830716
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FAQs on GCF of Fractions of 1464/846, 6069/6692
1. What is the HCF of 1464,6069?
The HCF of 1464,6069 is 3
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 1464/846, 6069/6692?
Answer: GCF of Numerators as per given numbers 1464/846, 6069/6692 is
GCF of Numerators i.e. for 1464,6069 is 3
LCM of denominators i.e. for 846,6692 is 2830716.
Thus, GCF of Fractions is 3/2830716.Finally, GCF of Fractions for 1464/846, 6069/6692 is 3/2830716.