GCF of 937/583, 3132/853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/583, 3132/853 i.e 1/497299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/583, 3132/853.
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 937/583,3132/853?
Given fractions are 937/583,3132/853
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 937/583,3132/853, numerators are 937,3132
Denominators are 583,853
The GCF of 937,3132 is 1 .
LCM of 583,853 is 497299.
The greatest common factor of 937/583,3132/853 = [GCF of 937,3132]/[LCM of 583,853]= 1/497299
Therefore, the GCF of 937/583,3132/853 is 1/497299.
To find the highest common factor of 937,3132, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The HCF of 937,3132 is 1.
Lets's calculate GCF of 937,3132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,3132 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 937,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 937,3132 is 1.
Lets's calculate LCM of 583,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 497299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497299
Therefore, the GCF of Fractions 937/583,3132/853 is 1/497299
Least Common Multiple of 583,853 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 583,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,853) x common factors =1 x 1 = 1
LCM(583,853) = ( 583 × 853 ) / 1
LCM(583,853) = 497299 / 1
LCM(583,853) = 497299
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 937/583, 3132/853
1. What is the HCF of 937,3132?
The HCF of 937,3132 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 937/583, 3132/853?
Answer: GCF of Numerators as per given numbers 937/583, 3132/853 is
GCF of Numerators i.e. for 937,3132 is 1
LCM of denominators i.e. for 583,853 is 497299.
Thus, GCF of Fractions is 1/497299.Finally, GCF of Fractions for 937/583, 3132/853 is 1/497299.