GCF of 87/174, 97/962, 194/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 87/174, 97/962, 194/320 i.e 1/13391040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/174, 97/962, 194/320.
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 87/174,97/962,194/320?
Given fractions are 87/174,97/962,194/320
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 87/174,97/962,194/320, numerators are 87,97,194
Denominators are 174,962,320
The GCF of 87,97,194 is 1 .
LCM of 174,962,320 is 13391040.
The greatest common factor of 87/174,97/962,194/320 = [GCF of 87,97,194]/[LCM of 174,962,320]= 1/13391040
Therefore, the GCF of 87/174,97/962,194/320 is 1/13391040.
To find the highest common factor of 87,97,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 97 are 1, 97
The factors of 194 are 1, 2, 97, 194
The HCF of 87,97,194 is 1.
Lets's calculate GCF of 87,97,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 87,97,194 By Matching Biggest Common Factor Method
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 97
:1,97
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 87,97,194 . The biggest common factor number is the GCF number.
So the greatest common factor 87,97,194 is 1.
Lets's calculate LCM of 174,962,320
| 2 | 174, 962, 320 |
| 87, 481, 160 |
∴ So the LCM of the given numbers is 2 x 87 x 481 x 160 = 13391040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13391040
Therefore, the GCF of Fractions 87/174,97/962,194/320 is 1/13391040
Least Common Multiple of 174,962,320 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 174,962,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,962,320) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(174,962,320) x common factors =2 x 2 = 4
LCM(174,962,320) = ( 174 × 962 × 320 ) / 4
LCM(174,962,320) = 53564160 / 4
LCM(174,962,320) = 13391040
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FAQs on GCF of Fractions of 87/174, 97/962, 194/320
1. What is the HCF of 87,97,194?
The HCF of 87,97,194 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 87/174, 97/962, 194/320?
Answer: GCF of Numerators as per given numbers 87/174, 97/962, 194/320 is
GCF of Numerators i.e. for 87,97,194 is 1
LCM of denominators i.e. for 174,962,320 is 13391040.
Thus, GCF of Fractions is 1/13391040.Finally, GCF of Fractions for 87/174, 97/962, 194/320 is 1/13391040.