GCF of 694/216, 9765/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 694/216, 9765/145 i.e 1/31320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/216, 9765/145.
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 694/216,9765/145?
Given fractions are 694/216,9765/145
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 694/216,9765/145, numerators are 694,9765
Denominators are 216,145
The GCF of 694,9765 is 1 .
LCM of 216,145 is 31320.
The greatest common factor of 694/216,9765/145 = [GCF of 694,9765]/[LCM of 216,145]= 1/31320
Therefore, the GCF of 694/216,9765/145 is 1/31320.
To find the highest common factor of 694,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 694 are 1, 2, 347, 694
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
The HCF of 694,9765 is 1.
Lets's calculate GCF of 694,9765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 694,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 9765
:1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors 694,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 694,9765 is 1.
Lets's calculate LCM of 216,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 31320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31320
Therefore, the GCF of Fractions 694/216,9765/145 is 1/31320
Least Common Multiple of 216,145 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 216,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,145) x common factors =1 x 1 = 1
LCM(216,145) = ( 216 × 145 ) / 1
LCM(216,145) = 31320 / 1
LCM(216,145) = 31320
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FAQs on GCF of Fractions of 694/216, 9765/145
1. What is the HCF of 694,9765?
The HCF of 694,9765 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 694/216, 9765/145?
Answer: GCF of Numerators as per given numbers 694/216, 9765/145 is
GCF of Numerators i.e. for 694,9765 is 1
LCM of denominators i.e. for 216,145 is 31320.
Thus, GCF of Fractions is 1/31320.Finally, GCF of Fractions for 694/216, 9765/145 is 1/31320.