GCF of 807/150, 1044/1014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 807/150, 1044/1014 i.e 3/25350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/150, 1044/1014.
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 807/150,1044/1014?
Given fractions are 807/150,1044/1014
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 807/150,1044/1014, numerators are 807,1044
Denominators are 150,1014
The GCF of 807,1044 is 3 .
LCM of 150,1014 is 25350.
The greatest common factor of 807/150,1044/1014 = [GCF of 807,1044]/[LCM of 150,1014]= 3/25350
Therefore, the GCF of 807/150,1044/1014 is 3/25350.
To find the highest common factor of 807,1044, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
The HCF of 807,1044 is 3.
Lets's calculate GCF of 807,1044
| 3 | 807, 1044 |
| 269, 348 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 807,1044 By Matching Biggest Common Factor Method
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 1044
:1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Greatest Common Factor
We found the factors 807,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 807,1044 is 3.
Lets's calculate LCM of 150,1014
| 2 | 150, 1014 |
| 3 | 75, 507 |
| 25, 169 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 169 = 25350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25350
Therefore, the GCF of Fractions 807/150,1044/1014 is 3/25350
Least Common Multiple of 150,1014 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 150,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,1014) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,1014) x common factors =6 x 1 = 6
LCM(150,1014) = ( 150 × 1014 ) / 6
LCM(150,1014) = 152100 / 6
LCM(150,1014) = 25350
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FAQs on GCF of Fractions of 807/150, 1044/1014
1. What is the HCF of 807,1044?
The HCF of 807,1044 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 807/150, 1044/1014?
Answer: GCF of Numerators as per given numbers 807/150, 1044/1014 is
GCF of Numerators i.e. for 807,1044 is 3
LCM of denominators i.e. for 150,1014 is 25350.
Thus, GCF of Fractions is 3/25350.Finally, GCF of Fractions for 807/150, 1044/1014 is 3/25350.