GCF of 7498/342, 3732/3554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7498/342, 3732/3554 i.e 2/607734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7498/342, 3732/3554.
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 7498/342,3732/3554?
Given fractions are 7498/342,3732/3554
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 7498/342,3732/3554, numerators are 7498,3732
Denominators are 342,3554
The GCF of 7498,3732 is 2 .
LCM of 342,3554 is 607734.
The greatest common factor of 7498/342,3732/3554 = [GCF of 7498,3732]/[LCM of 342,3554]= 2/607734
Therefore, the GCF of 7498/342,3732/3554 is 2/607734.
To find the highest common factor of 7498,3732, we have to find the factors of both numbers and list the highest common factor.
The factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498
The factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732
The HCF of 7498,3732 is 2.
Lets's calculate GCF of 7498,3732
| 2 | 7498, 3732 |
| 3749, 1866 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7498,3732 By Matching Biggest Common Factor Method
Now, list down the factors of 7498
:1,2,23,46,163,326,3749,7498
Now, list down the factors of 3732
:1,2,3,4,6,12,311,622,933,1244,1866,3732
Greatest Common Factor
We found the factors 7498,3732 . The biggest common factor number is the GCF number.
So the greatest common factor 7498,3732 is 2.
Lets's calculate LCM of 342,3554
| 2 | 342, 3554 |
| 171, 1777 |
∴ So the LCM of the given numbers is 2 x 171 x 1777 = 607734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/607734
Therefore, the GCF of Fractions 7498/342,3732/3554 is 2/607734
Least Common Multiple of 342,3554 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 342,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,3554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,3554) x common factors =2 x 1 = 2
LCM(342,3554) = ( 342 × 3554 ) / 2
LCM(342,3554) = 1215468 / 2
LCM(342,3554) = 607734
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FAQs on GCF of Fractions of 7498/342, 3732/3554
1. What is the HCF of 7498,3732?
The HCF of 7498,3732 is 2
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 7498/342, 3732/3554?
Answer: GCF of Numerators as per given numbers 7498/342, 3732/3554 is
GCF of Numerators i.e. for 7498,3732 is 2
LCM of denominators i.e. for 342,3554 is 607734.
Thus, GCF of Fractions is 2/607734.Finally, GCF of Fractions for 7498/342, 3732/3554 is 2/607734.