GCF of 7492/744, 8232/2918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7492/744, 8232/2918 i.e 4/1085496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7492/744, 8232/2918.
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 7492/744,8232/2918?
Given fractions are 7492/744,8232/2918
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 7492/744,8232/2918, numerators are 7492,8232
Denominators are 744,2918
The GCF of 7492,8232 is 4 .
LCM of 744,2918 is 1085496.
The greatest common factor of 7492/744,8232/2918 = [GCF of 7492,8232]/[LCM of 744,2918]= 4/1085496
Therefore, the GCF of 7492/744,8232/2918 is 4/1085496.
To find the highest common factor of 7492,8232, we have to find the factors of both numbers and list the highest common factor.
The factors of 7492 are 1, 2, 4, 1873, 3746, 7492
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The HCF of 7492,8232 is 4.
Lets's calculate GCF of 7492,8232
| 2 | 7492, 8232 |
| 2 | 3746, 4116 |
| 1873, 2058 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7492,8232 By Matching Biggest Common Factor Method
Now, list down the factors of 7492
:1,2,4,1873,3746,7492
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Greatest Common Factor
We found the factors 7492,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 7492,8232 is 4.
Lets's calculate LCM of 744,2918
| 2 | 744, 2918 |
| 372, 1459 |
∴ So the LCM of the given numbers is 2 x 372 x 1459 = 1085496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1085496
Therefore, the GCF of Fractions 7492/744,8232/2918 is 4/1085496
Least Common Multiple of 744,2918 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 744,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,2918) x common factors =2 x 1 = 2
LCM(744,2918) = ( 744 × 2918 ) / 2
LCM(744,2918) = 2170992 / 2
LCM(744,2918) = 1085496
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FAQs on GCF of Fractions of 7492/744, 8232/2918
1. What is the HCF of 7492,8232?
The HCF of 7492,8232 is 4
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 7492/744, 8232/2918?
Answer: GCF of Numerators as per given numbers 7492/744, 8232/2918 is
GCF of Numerators i.e. for 7492,8232 is 4
LCM of denominators i.e. for 744,2918 is 1085496.
Thus, GCF of Fractions is 4/1085496.Finally, GCF of Fractions for 7492/744, 8232/2918 is 4/1085496.