GCF of 167/972, 9801/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 167/972, 9801/916 i.e 1/222588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/972, 9801/916.
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 167/972,9801/916?
Given fractions are 167/972,9801/916
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 167/972,9801/916, numerators are 167,9801
Denominators are 972,916
The GCF of 167,9801 is 1 .
LCM of 972,916 is 222588.
The greatest common factor of 167/972,9801/916 = [GCF of 167,9801]/[LCM of 972,916]= 1/222588
Therefore, the GCF of 167/972,9801/916 is 1/222588.
To find the highest common factor of 167,9801, we have to find the factors of both numbers and list the highest common factor.
The factors of 167 are 1, 167
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The HCF of 167,9801 is 1.
Lets's calculate GCF of 167,9801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 167,9801 By Matching Biggest Common Factor Method
Now, list down the factors of 167
:1,167
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Greatest Common Factor
We found the factors 167,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 167,9801 is 1.
Lets's calculate LCM of 972,916
| 2 | 972, 916 |
| 2 | 486, 458 |
| 243, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 229 = 222588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222588
Therefore, the GCF of Fractions 167/972,9801/916 is 1/222588
Least Common Multiple of 972,916 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 972,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,916) x common factors =4 x 1 = 4
LCM(972,916) = ( 972 × 916 ) / 4
LCM(972,916) = 890352 / 4
LCM(972,916) = 222588
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FAQs on GCF of Fractions of 167/972, 9801/916
1. What is the HCF of 167,9801?
The HCF of 167,9801 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 167/972, 9801/916?
Answer: GCF of Numerators as per given numbers 167/972, 9801/916 is
GCF of Numerators i.e. for 167,9801 is 1
LCM of denominators i.e. for 972,916 is 222588.
Thus, GCF of Fractions is 1/222588.Finally, GCF of Fractions for 167/972, 9801/916 is 1/222588.