GCF of 1252/933, 3549/5302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1252/933, 3549/5302 i.e 1/4946766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1252/933, 3549/5302.
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 1252/933,3549/5302?
Given fractions are 1252/933,3549/5302
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 1252/933,3549/5302, numerators are 1252,3549
Denominators are 933,5302
The GCF of 1252,3549 is 1 .
LCM of 933,5302 is 4946766.
The greatest common factor of 1252/933,3549/5302 = [GCF of 1252,3549]/[LCM of 933,5302]= 1/4946766
Therefore, the GCF of 1252/933,3549/5302 is 1/4946766.
To find the highest common factor of 1252,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 1252 are 1, 2, 4, 313, 626, 1252
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 1252,3549 is 1.
Lets's calculate GCF of 1252,3549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1252,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 1252
:1,2,4,313,626,1252
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 1252,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 1252,3549 is 1.
Lets's calculate LCM of 933,5302
Given numbers has no common factors except 1. So, there LCM is their product i.e 4946766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4946766
Therefore, the GCF of Fractions 1252/933,3549/5302 is 1/4946766
Least Common Multiple of 933,5302 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 933,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,5302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,5302) x common factors =1 x 1 = 1
LCM(933,5302) = ( 933 × 5302 ) / 1
LCM(933,5302) = 4946766 / 1
LCM(933,5302) = 4946766
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FAQs on GCF of Fractions of 1252/933, 3549/5302
1. What is the HCF of 1252,3549?
The HCF of 1252,3549 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 1252/933, 3549/5302?
Answer: GCF of Numerators as per given numbers 1252/933, 3549/5302 is
GCF of Numerators i.e. for 1252,3549 is 1
LCM of denominators i.e. for 933,5302 is 4946766.
Thus, GCF of Fractions is 1/4946766.Finally, GCF of Fractions for 1252/933, 3549/5302 is 1/4946766.