GCF of 97/38, 853/17, 202/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/38, 853/17, 202/153 i.e 1/5814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/38, 853/17, 202/153.
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 97/38,853/17,202/153?
Given fractions are 97/38,853/17,202/153
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 97/38,853/17,202/153, numerators are 97,853,202
Denominators are 38,17,153
The GCF of 97,853,202 is 1 .
LCM of 38,17,153 is 5814.
The greatest common factor of 97/38,853/17,202/153 = [GCF of 97,853,202]/[LCM of 38,17,153]= 1/5814
Therefore, the GCF of 97/38,853/17,202/153 is 1/5814.
To find the highest common factor of 97,853,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 853 are 1, 853
The factors of 202 are 1, 2, 101, 202
The HCF of 97,853,202 is 1.
Lets's calculate GCF of 97,853,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,853,202 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 853
:1,853
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 97,853,202 . The biggest common factor number is the GCF number.
So the greatest common factor 97,853,202 is 1.
Lets's calculate LCM of 38,17,153
| 17 | 38, 17, 153 |
| 38, 1, 9 |
∴ So the LCM of the given numbers is 17 x 38 x 1 x 9 = 5814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5814
Therefore, the GCF of Fractions 97/38,853/17,202/153 is 1/5814
Least Common Multiple of 38,17,153 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 38,17,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,17,153) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(38,17,153) x common factors =1 x 17 = 17
LCM(38,17,153) = ( 38 × 17 × 153 ) / 17
LCM(38,17,153) = 98838 / 17
LCM(38,17,153) = 5814
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FAQs on GCF of Fractions of 97/38, 853/17, 202/153
1. What is the HCF of 97,853,202?
The HCF of 97,853,202 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 97/38, 853/17, 202/153?
Answer: GCF of Numerators as per given numbers 97/38, 853/17, 202/153 is
GCF of Numerators i.e. for 97,853,202 is 1
LCM of denominators i.e. for 38,17,153 is 5814.
Thus, GCF of Fractions is 1/5814.Finally, GCF of Fractions for 97/38, 853/17, 202/153 is 1/5814.