GCF of 1403/69, 1917/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/69, 1917/804 i.e 1/18492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/69, 1917/804.
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 1403/69,1917/804?
Given fractions are 1403/69,1917/804
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 1403/69,1917/804, numerators are 1403,1917
Denominators are 69,804
The GCF of 1403,1917 is 1 .
LCM of 69,804 is 18492.
The greatest common factor of 1403/69,1917/804 = [GCF of 1403,1917]/[LCM of 69,804]= 1/18492
Therefore, the GCF of 1403/69,1917/804 is 1/18492.
To find the highest common factor of 1403,1917, we have to find the factors of both numbers and list the highest common factor.
The factors of 1403 are 1, 23, 61, 1403
The factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917
The HCF of 1403,1917 is 1.
Lets's calculate GCF of 1403,1917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1403,1917 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 1917
:1,3,9,27,71,213,639,1917
Greatest Common Factor
We found the factors 1403,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,1917 is 1.
Lets's calculate LCM of 69,804
| 3 | 69, 804 |
| 23, 268 |
∴ So the LCM of the given numbers is 3 x 23 x 268 = 18492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18492
Therefore, the GCF of Fractions 1403/69,1917/804 is 1/18492
Least Common Multiple of 69,804 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 69,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,804) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,804) x common factors =3 x 1 = 3
LCM(69,804) = ( 69 × 804 ) / 3
LCM(69,804) = 55476 / 3
LCM(69,804) = 18492
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FAQs on GCF of Fractions of 1403/69, 1917/804
1. What is the HCF of 1403,1917?
The HCF of 1403,1917 is 1
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 1403/69, 1917/804?
Answer: GCF of Numerators as per given numbers 1403/69, 1917/804 is
GCF of Numerators i.e. for 1403,1917 is 1
LCM of denominators i.e. for 69,804 is 18492.
Thus, GCF of Fractions is 1/18492.Finally, GCF of Fractions for 1403/69, 1917/804 is 1/18492.