GCF of 861/191, 966/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 861/191, 966/187 i.e 21/35717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 861/191, 966/187.
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 861/191,966/187?
Given fractions are 861/191,966/187
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 861/191,966/187, numerators are 861,966
Denominators are 191,187
The GCF of 861,966 is 21 .
LCM of 191,187 is 35717.
The greatest common factor of 861/191,966/187 = [GCF of 861,966]/[LCM of 191,187]= 21/35717
Therefore, the GCF of 861/191,966/187 is 21/35717.
To find the highest common factor of 861,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 861,966 is 21.
Lets's calculate GCF of 861,966
| 3 | 861, 966 |
| 7 | 287, 322 |
| 41, 46 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 861,966 By Matching Biggest Common Factor Method
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
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 861,966 . The biggest common factor number is the GCF number.
So the greatest common factor 861,966 is 21.
Lets's calculate LCM of 191,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 35717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/35717
Therefore, the GCF of Fractions 861/191,966/187 is 21/35717
Least Common Multiple of 191,187 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 191,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,187) x common factors =1 x 1 = 1
LCM(191,187) = ( 191 × 187 ) / 1
LCM(191,187) = 35717 / 1
LCM(191,187) = 35717
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FAQs on GCF of Fractions of 861/191, 966/187
1. What is the HCF of 861,966?
The HCF of 861,966 is 21
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 861/191, 966/187?
Answer: GCF of Numerators as per given numbers 861/191, 966/187 is
GCF of Numerators i.e. for 861,966 is 21
LCM of denominators i.e. for 191,187 is 35717.
Thus, GCF of Fractions is 21/35717.Finally, GCF of Fractions for 861/191, 966/187 is 21/35717.