GCF of 1717/692, 6897/1804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1717/692, 6897/1804 i.e 1/312092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1717/692, 6897/1804.
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 1717/692,6897/1804?
Given fractions are 1717/692,6897/1804
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 1717/692,6897/1804, numerators are 1717,6897
Denominators are 692,1804
The GCF of 1717,6897 is 1 .
LCM of 692,1804 is 312092.
The greatest common factor of 1717/692,6897/1804 = [GCF of 1717,6897]/[LCM of 692,1804]= 1/312092
Therefore, the GCF of 1717/692,6897/1804 is 1/312092.
To find the highest common factor of 1717,6897, we have to find the factors of both numbers and list the highest common factor.
The factors of 1717 are 1, 17, 101, 1717
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The HCF of 1717,6897 is 1.
Lets's calculate GCF of 1717,6897
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1717,6897 By Matching Biggest Common Factor Method
Now, list down the factors of 1717
:1,17,101,1717
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Greatest Common Factor
We found the factors 1717,6897 . The biggest common factor number is the GCF number.
So the greatest common factor 1717,6897 is 1.
Lets's calculate LCM of 692,1804
| 2 | 692, 1804 |
| 2 | 346, 902 |
| 173, 451 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 451 = 312092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312092
Therefore, the GCF of Fractions 1717/692,6897/1804 is 1/312092
Least Common Multiple of 692,1804 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 692,1804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,1804) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,1804) x common factors =4 x 1 = 4
LCM(692,1804) = ( 692 × 1804 ) / 4
LCM(692,1804) = 1248368 / 4
LCM(692,1804) = 312092
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FAQs on GCF of Fractions of 1717/692, 6897/1804
1. What is the HCF of 1717,6897?
The HCF of 1717,6897 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 1717/692, 6897/1804?
Answer: GCF of Numerators as per given numbers 1717/692, 6897/1804 is
GCF of Numerators i.e. for 1717,6897 is 1
LCM of denominators i.e. for 692,1804 is 312092.
Thus, GCF of Fractions is 1/312092.Finally, GCF of Fractions for 1717/692, 6897/1804 is 1/312092.