GCF of 400/898, 9380/651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 400/898, 9380/651 i.e 20/584598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/898, 9380/651.
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 400/898,9380/651?
Given fractions are 400/898,9380/651
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 400/898,9380/651, numerators are 400,9380
Denominators are 898,651
The GCF of 400,9380 is 20 .
LCM of 898,651 is 584598.
The greatest common factor of 400/898,9380/651 = [GCF of 400,9380]/[LCM of 898,651]= 20/584598
Therefore, the GCF of 400/898,9380/651 is 20/584598.
To find the highest common factor of 400,9380, we have to find the factors of both numbers and list the highest common factor.
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380
The HCF of 400,9380 is 20.
Lets's calculate GCF of 400,9380
| 2 | 400, 9380 |
| 2 | 200, 4690 |
| 5 | 100, 2345 |
| 20, 469 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 400,9380 By Matching Biggest Common Factor Method
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 9380
:1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Greatest Common Factor
We found the factors 400,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 400,9380 is 20.
Lets's calculate LCM of 898,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 584598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/584598
Therefore, the GCF of Fractions 400/898,9380/651 is 20/584598
Least Common Multiple of 898,651 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 898,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,651) x common factors =1 x 1 = 1
LCM(898,651) = ( 898 × 651 ) / 1
LCM(898,651) = 584598 / 1
LCM(898,651) = 584598
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FAQs on GCF of Fractions of 400/898, 9380/651
1. What is the HCF of 400,9380?
The HCF of 400,9380 is 20
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 400/898, 9380/651?
Answer: GCF of Numerators as per given numbers 400/898, 9380/651 is
GCF of Numerators i.e. for 400,9380 is 20
LCM of denominators i.e. for 898,651 is 584598.
Thus, GCF of Fractions is 20/584598.Finally, GCF of Fractions for 400/898, 9380/651 is 20/584598.