GCF of 174/53, 966/7194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 174/53, 966/7194 i.e 6/381282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/53, 966/7194.
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 174/53,966/7194?
Given fractions are 174/53,966/7194
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 174/53,966/7194, numerators are 174,966
Denominators are 53,7194
The GCF of 174,966 is 6 .
LCM of 53,7194 is 381282.
The greatest common factor of 174/53,966/7194 = [GCF of 174,966]/[LCM of 53,7194]= 6/381282
Therefore, the GCF of 174/53,966/7194 is 6/381282.
To find the highest common factor of 174,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 174,966 is 6.
Lets's calculate GCF of 174,966
| 2 | 174, 966 |
| 3 | 87, 483 |
| 29, 161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 174,966 By Matching Biggest Common Factor Method
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 174,966 . The biggest common factor number is the GCF number.
So the greatest common factor 174,966 is 6.
Lets's calculate LCM of 53,7194
Given numbers has no common factors except 1. So, there LCM is their product i.e 381282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/381282
Therefore, the GCF of Fractions 174/53,966/7194 is 6/381282
Least Common Multiple of 53,7194 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 53,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,7194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,7194) x common factors =1 x 1 = 1
LCM(53,7194) = ( 53 × 7194 ) / 1
LCM(53,7194) = 381282 / 1
LCM(53,7194) = 381282
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FAQs on GCF of Fractions of 174/53, 966/7194
1. What is the HCF of 174,966?
The HCF of 174,966 is 6
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 174/53, 966/7194?
Answer: GCF of Numerators as per given numbers 174/53, 966/7194 is
GCF of Numerators i.e. for 174,966 is 6
LCM of denominators i.e. for 53,7194 is 381282.
Thus, GCF of Fractions is 6/381282.Finally, GCF of Fractions for 174/53, 966/7194 is 6/381282.