GCF of 853/116, 945/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 853/116, 945/106 i.e 1/6148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/116, 945/106.
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 853/116,945/106?
Given fractions are 853/116,945/106
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 853/116,945/106, numerators are 853,945
Denominators are 116,106
The GCF of 853,945 is 1 .
LCM of 116,106 is 6148.
The greatest common factor of 853/116,945/106 = [GCF of 853,945]/[LCM of 116,106]= 1/6148
Therefore, the GCF of 853/116,945/106 is 1/6148.
To find the highest common factor of 853,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 853,945 is 1.
Lets's calculate GCF of 853,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 853,945 By Matching Biggest Common Factor Method
Now, list down the factors of 853
:1,853
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 853,945 . The biggest common factor number is the GCF number.
So the greatest common factor 853,945 is 1.
Lets's calculate LCM of 116,106
| 2 | 116, 106 |
| 58, 53 |
∴ So the LCM of the given numbers is 2 x 58 x 53 = 6148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6148
Therefore, the GCF of Fractions 853/116,945/106 is 1/6148
Least Common Multiple of 116,106 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 116,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,106) x common factors =2 x 1 = 2
LCM(116,106) = ( 116 × 106 ) / 2
LCM(116,106) = 12296 / 2
LCM(116,106) = 6148
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FAQs on GCF of Fractions of 853/116, 945/106
1. What is the HCF of 853,945?
The HCF of 853,945 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 853/116, 945/106?
Answer: GCF of Numerators as per given numbers 853/116, 945/106 is
GCF of Numerators i.e. for 853,945 is 1
LCM of denominators i.e. for 116,106 is 6148.
Thus, GCF of Fractions is 1/6148.Finally, GCF of Fractions for 853/116, 945/106 is 1/6148.