GCF of 6042/869, 1957/6198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6042/869, 1957/6198 i.e 19/5386062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6042/869, 1957/6198.
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 6042/869,1957/6198?
Given fractions are 6042/869,1957/6198
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 6042/869,1957/6198, numerators are 6042,1957
Denominators are 869,6198
The GCF of 6042,1957 is 19 .
LCM of 869,6198 is 5386062.
The greatest common factor of 6042/869,1957/6198 = [GCF of 6042,1957]/[LCM of 869,6198]= 19/5386062
Therefore, the GCF of 6042/869,1957/6198 is 19/5386062.
To find the highest common factor of 6042,1957, we have to find the factors of both numbers and list the highest common factor.
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The factors of 1957 are 1, 19, 103, 1957
The HCF of 6042,1957 is 19.
Lets's calculate GCF of 6042,1957
| 19 | 6042, 1957 |
| 318, 103 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 6042,1957 By Matching Biggest Common Factor Method
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Now, list down the factors of 1957
:1,19,103,1957
Greatest Common Factor
We found the factors 6042,1957 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,1957 is 19.
Lets's calculate LCM of 869,6198
Given numbers has no common factors except 1. So, there LCM is their product i.e 5386062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5386062
Therefore, the GCF of Fractions 6042/869,1957/6198 is 19/5386062
Least Common Multiple of 869,6198 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 869,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,6198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,6198) x common factors =1 x 1 = 1
LCM(869,6198) = ( 869 × 6198 ) / 1
LCM(869,6198) = 5386062 / 1
LCM(869,6198) = 5386062
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FAQs on GCF of Fractions of 6042/869, 1957/6198
1. What is the HCF of 6042,1957?
The HCF of 6042,1957 is 19
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 6042/869, 1957/6198?
Answer: GCF of Numerators as per given numbers 6042/869, 1957/6198 is
GCF of Numerators i.e. for 6042,1957 is 19
LCM of denominators i.e. for 869,6198 is 5386062.
Thus, GCF of Fractions is 19/5386062.Finally, GCF of Fractions for 6042/869, 1957/6198 is 19/5386062.