GCF of 969/110, 702/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/110, 702/794 i.e 3/43670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/110, 702/794.
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 969/110,702/794?
Given fractions are 969/110,702/794
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 969/110,702/794, numerators are 969,702
Denominators are 110,794
The GCF of 969,702 is 3 .
LCM of 110,794 is 43670.
The greatest common factor of 969/110,702/794 = [GCF of 969,702]/[LCM of 110,794]= 3/43670
Therefore, the GCF of 969/110,702/794 is 3/43670.
To find the highest common factor of 969,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 969,702 is 3.
Lets's calculate GCF of 969,702
| 3 | 969, 702 |
| 323, 234 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 969,702 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 969,702 . The biggest common factor number is the GCF number.
So the greatest common factor 969,702 is 3.
Lets's calculate LCM of 110,794
| 2 | 110, 794 |
| 55, 397 |
∴ So the LCM of the given numbers is 2 x 55 x 397 = 43670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43670
Therefore, the GCF of Fractions 969/110,702/794 is 3/43670
Least Common Multiple of 110,794 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 110,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,794) x common factors =2 x 1 = 2
LCM(110,794) = ( 110 × 794 ) / 2
LCM(110,794) = 87340 / 2
LCM(110,794) = 43670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 969/110, 702/794
1. What is the HCF of 969,702?
The HCF of 969,702 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 969/110, 702/794?
Answer: GCF of Numerators as per given numbers 969/110, 702/794 is
GCF of Numerators i.e. for 969,702 is 3
LCM of denominators i.e. for 110,794 is 43670.
Thus, GCF of Fractions is 3/43670.Finally, GCF of Fractions for 969/110, 702/794 is 3/43670.