GCF of 7400/816, 9156/3050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7400/816, 9156/3050 i.e 4/1244400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7400/816, 9156/3050.
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 7400/816,9156/3050?
Given fractions are 7400/816,9156/3050
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 7400/816,9156/3050, numerators are 7400,9156
Denominators are 816,3050
The GCF of 7400,9156 is 4 .
LCM of 816,3050 is 1244400.
The greatest common factor of 7400/816,9156/3050 = [GCF of 7400,9156]/[LCM of 816,3050]= 4/1244400
Therefore, the GCF of 7400/816,9156/3050 is 4/1244400.
To find the highest common factor of 7400,9156, 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 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 7400,9156 is 4.
Lets's calculate GCF of 7400,9156
| 2 | 7400, 9156 |
| 2 | 3700, 4578 |
| 1850, 2289 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7400,9156 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 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 7400,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 7400,9156 is 4.
Lets's calculate LCM of 816,3050
| 2 | 816, 3050 |
| 408, 1525 |
∴ So the LCM of the given numbers is 2 x 408 x 1525 = 1244400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1244400
Therefore, the GCF of Fractions 7400/816,9156/3050 is 4/1244400
Least Common Multiple of 816,3050 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 816,3050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,3050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,3050) x common factors =2 x 1 = 2
LCM(816,3050) = ( 816 × 3050 ) / 2
LCM(816,3050) = 2488800 / 2
LCM(816,3050) = 1244400
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FAQs on GCF of Fractions of 7400/816, 9156/3050
1. What is the HCF of 7400,9156?
The HCF of 7400,9156 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 7400/816, 9156/3050?
Answer: GCF of Numerators as per given numbers 7400/816, 9156/3050 is
GCF of Numerators i.e. for 7400,9156 is 4
LCM of denominators i.e. for 816,3050 is 1244400.
Thus, GCF of Fractions is 4/1244400.Finally, GCF of Fractions for 7400/816, 9156/3050 is 4/1244400.