GCF of 3525/912, 1262/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3525/912, 1262/163 i.e 1/148656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3525/912, 1262/163.
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 3525/912,1262/163?
Given fractions are 3525/912,1262/163
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 3525/912,1262/163, numerators are 3525,1262
Denominators are 912,163
The GCF of 3525,1262 is 1 .
LCM of 912,163 is 148656.
The greatest common factor of 3525/912,1262/163 = [GCF of 3525,1262]/[LCM of 912,163]= 1/148656
Therefore, the GCF of 3525/912,1262/163 is 1/148656.
To find the highest common factor of 3525,1262, we have to find the factors of both numbers and list the highest common factor.
The factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525
The factors of 1262 are 1, 2, 631, 1262
The HCF of 3525,1262 is 1.
Lets's calculate GCF of 3525,1262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3525,1262 By Matching Biggest Common Factor Method
Now, list down the factors of 3525
:1,3,5,15,25,47,75,141,235,705,1175,3525
Now, list down the factors of 1262
:1,2,631,1262
Greatest Common Factor
We found the factors 3525,1262 . The biggest common factor number is the GCF number.
So the greatest common factor 3525,1262 is 1.
Lets's calculate LCM of 912,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 148656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148656
Therefore, the GCF of Fractions 3525/912,1262/163 is 1/148656
Least Common Multiple of 912,163 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 912,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,163) x common factors =1 x 1 = 1
LCM(912,163) = ( 912 × 163 ) / 1
LCM(912,163) = 148656 / 1
LCM(912,163) = 148656
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FAQs on GCF of Fractions of 3525/912, 1262/163
1. What is the HCF of 3525,1262?
The HCF of 3525,1262 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 3525/912, 1262/163?
Answer: GCF of Numerators as per given numbers 3525/912, 1262/163 is
GCF of Numerators i.e. for 3525,1262 is 1
LCM of denominators i.e. for 912,163 is 148656.
Thus, GCF of Fractions is 1/148656.Finally, GCF of Fractions for 3525/912, 1262/163 is 1/148656.