GCF of 7376/400, 3410/8950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7376/400, 3410/8950 i.e 2/71600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7376/400, 3410/8950.
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 7376/400,3410/8950?
Given fractions are 7376/400,3410/8950
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 7376/400,3410/8950, numerators are 7376,3410
Denominators are 400,8950
The GCF of 7376,3410 is 2 .
LCM of 400,8950 is 71600.
The greatest common factor of 7376/400,3410/8950 = [GCF of 7376,3410]/[LCM of 400,8950]= 2/71600
Therefore, the GCF of 7376/400,3410/8950 is 2/71600.
To find the highest common factor of 7376,3410, we have to find the factors of both numbers and list the highest common factor.
The factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 7376,3410 is 2.
Lets's calculate GCF of 7376,3410
| 2 | 7376, 3410 |
| 3688, 1705 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7376,3410 By Matching Biggest Common Factor Method
Now, list down the factors of 7376
:1,2,4,8,16,461,922,1844,3688,7376
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 7376,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 7376,3410 is 2.
Lets's calculate LCM of 400,8950
| 2 | 400, 8950 |
| 5 | 200, 4475 |
| 5 | 40, 895 |
| 8, 179 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 8 x 179 = 71600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71600
Therefore, the GCF of Fractions 7376/400,3410/8950 is 2/71600
Least Common Multiple of 400,8950 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 400,8950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,8950) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(400,8950) x common factors =50 x 1 = 50
LCM(400,8950) = ( 400 × 8950 ) / 50
LCM(400,8950) = 3580000 / 50
LCM(400,8950) = 71600
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FAQs on GCF of Fractions of 7376/400, 3410/8950
1. What is the HCF of 7376,3410?
The HCF of 7376,3410 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 7376/400, 3410/8950?
Answer: GCF of Numerators as per given numbers 7376/400, 3410/8950 is
GCF of Numerators i.e. for 7376,3410 is 2
LCM of denominators i.e. for 400,8950 is 71600.
Thus, GCF of Fractions is 2/71600.Finally, GCF of Fractions for 7376/400, 3410/8950 is 2/71600.