GCF of 3732/508, 4503/6951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3732/508, 4503/6951 i.e 3/3531108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3732/508, 4503/6951.
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 3732/508,4503/6951?
Given fractions are 3732/508,4503/6951
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 3732/508,4503/6951, numerators are 3732,4503
Denominators are 508,6951
The GCF of 3732,4503 is 3 .
LCM of 508,6951 is 3531108.
The greatest common factor of 3732/508,4503/6951 = [GCF of 3732,4503]/[LCM of 508,6951]= 3/3531108
Therefore, the GCF of 3732/508,4503/6951 is 3/3531108.
To find the highest common factor of 3732,4503, we have to find the factors of both numbers and list the highest common factor.
The factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The HCF of 3732,4503 is 3.
Lets's calculate GCF of 3732,4503
| 3 | 3732, 4503 |
| 1244, 1501 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3732,4503 By Matching Biggest Common Factor Method
Now, list down the factors of 3732
:1,2,3,4,6,12,311,622,933,1244,1866,3732
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Greatest Common Factor
We found the factors 3732,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 3732,4503 is 3.
Lets's calculate LCM of 508,6951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3531108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3531108
Therefore, the GCF of Fractions 3732/508,4503/6951 is 3/3531108
Least Common Multiple of 508,6951 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 508,6951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,6951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,6951) x common factors =1 x 1 = 1
LCM(508,6951) = ( 508 × 6951 ) / 1
LCM(508,6951) = 3531108 / 1
LCM(508,6951) = 3531108
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FAQs on GCF of Fractions of 3732/508, 4503/6951
1. What is the HCF of 3732,4503?
The HCF of 3732,4503 is 3
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 3732/508, 4503/6951?
Answer: GCF of Numerators as per given numbers 3732/508, 4503/6951 is
GCF of Numerators i.e. for 3732,4503 is 3
LCM of denominators i.e. for 508,6951 is 3531108.
Thus, GCF of Fractions is 3/3531108.Finally, GCF of Fractions for 3732/508, 4503/6951 is 3/3531108.