GCF of 1995/427, 6118/4124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1995/427, 6118/4124 i.e 133/1760948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1995/427, 6118/4124.
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 1995/427,6118/4124?
Given fractions are 1995/427,6118/4124
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 1995/427,6118/4124, numerators are 1995,6118
Denominators are 427,4124
The GCF of 1995,6118 is 133 .
LCM of 427,4124 is 1760948.
The greatest common factor of 1995/427,6118/4124 = [GCF of 1995,6118]/[LCM of 427,4124]= 133/1760948
Therefore, the GCF of 1995/427,6118/4124 is 133/1760948.
To find the highest common factor of 1995,6118, we have to find the factors of both numbers and list the highest common factor.
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The HCF of 1995,6118 is 133.
Lets's calculate GCF of 1995,6118
| 7 | 1995, 6118 |
| 19 | 285, 874 |
| 15, 46 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Greatest Common Factor of 1995,6118 By Matching Biggest Common Factor Method
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Greatest Common Factor
We found the factors 1995,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 1995,6118 is 133.
Lets's calculate LCM of 427,4124
Given numbers has no common factors except 1. So, there LCM is their product i.e 1760948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/1760948
Therefore, the GCF of Fractions 1995/427,6118/4124 is 133/1760948
Least Common Multiple of 427,4124 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 427,4124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,4124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,4124) x common factors =1 x 1 = 1
LCM(427,4124) = ( 427 × 4124 ) / 1
LCM(427,4124) = 1760948 / 1
LCM(427,4124) = 1760948
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FAQs on GCF of Fractions of 1995/427, 6118/4124
1. What is the HCF of 1995,6118?
The HCF of 1995,6118 is 133
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 1995/427, 6118/4124?
Answer: GCF of Numerators as per given numbers 1995/427, 6118/4124 is
GCF of Numerators i.e. for 1995,6118 is 133
LCM of denominators i.e. for 427,4124 is 1760948.
Thus, GCF of Fractions is 133/1760948.Finally, GCF of Fractions for 1995/427, 6118/4124 is 133/1760948.