GCF of 7400/267, 3036/3432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7400/267, 3036/3432 i.e 4/305448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7400/267, 3036/3432.
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 7400/267,3036/3432?
Given fractions are 7400/267,3036/3432
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 7400/267,3036/3432, numerators are 7400,3036
Denominators are 267,3432
The GCF of 7400,3036 is 4 .
LCM of 267,3432 is 305448.
The greatest common factor of 7400/267,3036/3432 = [GCF of 7400,3036]/[LCM of 267,3432]= 4/305448
Therefore, the GCF of 7400/267,3036/3432 is 4/305448.
To find the highest common factor of 7400,3036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036
The HCF of 7400,3036 is 4.
Lets's calculate GCF of 7400,3036
| 2 | 7400, 3036 |
| 2 | 3700, 1518 |
| 1850, 759 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7400,3036 By Matching Biggest Common Factor Method
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Now, list down the factors of 3036
:1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
Greatest Common Factor
We found the factors 7400,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 7400,3036 is 4.
Lets's calculate LCM of 267,3432
| 3 | 267, 3432 |
| 89, 1144 |
∴ So the LCM of the given numbers is 3 x 89 x 1144 = 305448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/305448
Therefore, the GCF of Fractions 7400/267,3036/3432 is 4/305448
Least Common Multiple of 267,3432 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 267,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,3432) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,3432) x common factors =3 x 1 = 3
LCM(267,3432) = ( 267 × 3432 ) / 3
LCM(267,3432) = 916344 / 3
LCM(267,3432) = 305448
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FAQs on GCF of Fractions of 7400/267, 3036/3432
1. What is the HCF of 7400,3036?
The HCF of 7400,3036 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 7400/267, 3036/3432?
Answer: GCF of Numerators as per given numbers 7400/267, 3036/3432 is
GCF of Numerators i.e. for 7400,3036 is 4
LCM of denominators i.e. for 267,3432 is 305448.
Thus, GCF of Fractions is 4/305448.Finally, GCF of Fractions for 7400/267, 3036/3432 is 4/305448.