GCF of 1132/355, 5641/983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1132/355, 5641/983 i.e 1/348965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1132/355, 5641/983.
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 1132/355,5641/983?
Given fractions are 1132/355,5641/983
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 1132/355,5641/983, numerators are 1132,5641
Denominators are 355,983
The GCF of 1132,5641 is 1 .
LCM of 355,983 is 348965.
The greatest common factor of 1132/355,5641/983 = [GCF of 1132,5641]/[LCM of 355,983]= 1/348965
Therefore, the GCF of 1132/355,5641/983 is 1/348965.
To find the highest common factor of 1132,5641, we have to find the factors of both numbers and list the highest common factor.
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The factors of 5641 are 1, 5641
The HCF of 1132,5641 is 1.
Lets's calculate GCF of 1132,5641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1132,5641 By Matching Biggest Common Factor Method
Now, list down the factors of 1132
:1,2,4,283,566,1132
Now, list down the factors of 5641
:1,5641
Greatest Common Factor
We found the factors 1132,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 1132,5641 is 1.
Lets's calculate LCM of 355,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 348965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348965
Therefore, the GCF of Fractions 1132/355,5641/983 is 1/348965
Least Common Multiple of 355,983 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 355,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,983) x common factors =1 x 1 = 1
LCM(355,983) = ( 355 × 983 ) / 1
LCM(355,983) = 348965 / 1
LCM(355,983) = 348965
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FAQs on GCF of Fractions of 1132/355, 5641/983
1. What is the HCF of 1132,5641?
The HCF of 1132,5641 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 1132/355, 5641/983?
Answer: GCF of Numerators as per given numbers 1132/355, 5641/983 is
GCF of Numerators i.e. for 1132,5641 is 1
LCM of denominators i.e. for 355,983 is 348965.
Thus, GCF of Fractions is 1/348965.Finally, GCF of Fractions for 1132/355, 5641/983 is 1/348965.