GCF of 1021/388, 9400/7802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1021/388, 9400/7802 i.e 1/1513588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1021/388, 9400/7802.
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 1021/388,9400/7802?
Given fractions are 1021/388,9400/7802
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 1021/388,9400/7802, numerators are 1021,9400
Denominators are 388,7802
The GCF of 1021,9400 is 1 .
LCM of 388,7802 is 1513588.
The greatest common factor of 1021/388,9400/7802 = [GCF of 1021,9400]/[LCM of 388,7802]= 1/1513588
Therefore, the GCF of 1021/388,9400/7802 is 1/1513588.
To find the highest common factor of 1021,9400, we have to find the factors of both numbers and list the highest common factor.
The factors of 1021 are 1, 1021
The factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 1021,9400 is 1.
Lets's calculate GCF of 1021,9400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1021,9400 By Matching Biggest Common Factor Method
Now, list down the factors of 1021
:1,1021
Now, list down the factors of 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 1021,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 1021,9400 is 1.
Lets's calculate LCM of 388,7802
| 2 | 388, 7802 |
| 194, 3901 |
∴ So the LCM of the given numbers is 2 x 194 x 3901 = 1513588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1513588
Therefore, the GCF of Fractions 1021/388,9400/7802 is 1/1513588
Least Common Multiple of 388,7802 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 388,7802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,7802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,7802) x common factors =2 x 1 = 2
LCM(388,7802) = ( 388 × 7802 ) / 2
LCM(388,7802) = 3027176 / 2
LCM(388,7802) = 1513588
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FAQs on GCF of Fractions of 1021/388, 9400/7802
1. What is the HCF of 1021,9400?
The HCF of 1021,9400 is 1
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 1021/388, 9400/7802?
Answer: GCF of Numerators as per given numbers 1021/388, 9400/7802 is
GCF of Numerators i.e. for 1021,9400 is 1
LCM of denominators i.e. for 388,7802 is 1513588.
Thus, GCF of Fractions is 1/1513588.Finally, GCF of Fractions for 1021/388, 9400/7802 is 1/1513588.