GCF of 5432/983, 6142/1164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5432/983, 6142/1164 i.e 2/1144212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5432/983, 6142/1164.
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 5432/983,6142/1164?
Given fractions are 5432/983,6142/1164
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 5432/983,6142/1164, numerators are 5432,6142
Denominators are 983,1164
The GCF of 5432,6142 is 2 .
LCM of 983,1164 is 1144212.
The greatest common factor of 5432/983,6142/1164 = [GCF of 5432,6142]/[LCM of 983,1164]= 2/1144212
Therefore, the GCF of 5432/983,6142/1164 is 2/1144212.
To find the highest common factor of 5432,6142, we have to find the factors of both numbers and list the highest common factor.
The factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The HCF of 5432,6142 is 2.
Lets's calculate GCF of 5432,6142
| 2 | 5432, 6142 |
| 2716, 3071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5432,6142 By Matching Biggest Common Factor Method
Now, list down the factors of 5432
:1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 5432,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 5432,6142 is 2.
Lets's calculate LCM of 983,1164
Given numbers has no common factors except 1. So, there LCM is their product i.e 1144212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1144212
Therefore, the GCF of Fractions 5432/983,6142/1164 is 2/1144212
Least Common Multiple of 983,1164 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 983,1164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,1164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,1164) x common factors =1 x 1 = 1
LCM(983,1164) = ( 983 × 1164 ) / 1
LCM(983,1164) = 1144212 / 1
LCM(983,1164) = 1144212
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FAQs on GCF of Fractions of 5432/983, 6142/1164
1. What is the HCF of 5432,6142?
The HCF of 5432,6142 is 2
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 5432/983, 6142/1164?
Answer: GCF of Numerators as per given numbers 5432/983, 6142/1164 is
GCF of Numerators i.e. for 5432,6142 is 2
LCM of denominators i.e. for 983,1164 is 1144212.
Thus, GCF of Fractions is 2/1144212.Finally, GCF of Fractions for 5432/983, 6142/1164 is 2/1144212.