GCF of 877/77, 198/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 877/77, 198/462 i.e 1/462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/77, 198/462.
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 877/77,198/462?
Given fractions are 877/77,198/462
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 877/77,198/462, numerators are 877,198
Denominators are 77,462
The GCF of 877,198 is 1 .
LCM of 77,462 is 462.
The greatest common factor of 877/77,198/462 = [GCF of 877,198]/[LCM of 77,462]= 1/462
Therefore, the GCF of 877/77,198/462 is 1/462.
To find the highest common factor of 877,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 877 are 1, 877
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 877,198 is 1.
Lets's calculate GCF of 877,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 877,198 By Matching Biggest Common Factor Method
Now, list down the factors of 877
:1,877
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 877,198 . The biggest common factor number is the GCF number.
So the greatest common factor 877,198 is 1.
Lets's calculate LCM of 77,462
| 7 | 77, 462 |
| 11 | 11, 66 |
| 1, 6 |
∴ So the LCM of the given numbers is 7 x 11 x 1 x 6 = 462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462
Therefore, the GCF of Fractions 877/77,198/462 is 1/462
Least Common Multiple of 77,462 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 77,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,462) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(77,462) x common factors =77 x 1 = 77
LCM(77,462) = ( 77 × 462 ) / 77
LCM(77,462) = 35574 / 77
LCM(77,462) = 462
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FAQs on GCF of Fractions of 877/77, 198/462
1. What is the HCF of 877,198?
The HCF of 877,198 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 877/77, 198/462?
Answer: GCF of Numerators as per given numbers 877/77, 198/462 is
GCF of Numerators i.e. for 877,198 is 1
LCM of denominators i.e. for 77,462 is 462.
Thus, GCF of Fractions is 1/462.Finally, GCF of Fractions for 877/77, 198/462 is 1/462.