GCF of 5335/922, 6090/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5335/922, 6090/774 i.e 5/356814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5335/922, 6090/774.
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 5335/922,6090/774?
Given fractions are 5335/922,6090/774
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 5335/922,6090/774, numerators are 5335,6090
Denominators are 922,774
The GCF of 5335,6090 is 5 .
LCM of 922,774 is 356814.
The greatest common factor of 5335/922,6090/774 = [GCF of 5335,6090]/[LCM of 922,774]= 5/356814
Therefore, the GCF of 5335/922,6090/774 is 5/356814.
To find the highest common factor of 5335,6090, we have to find the factors of both numbers and list the highest common factor.
The factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335
The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The HCF of 5335,6090 is 5.
Lets's calculate GCF of 5335,6090
| 5 | 5335, 6090 |
| 1067, 1218 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5335,6090 By Matching Biggest Common Factor Method
Now, list down the factors of 5335
:1,5,11,55,97,485,1067,5335
Now, list down the factors of 6090
:1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Greatest Common Factor
We found the factors 5335,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 5335,6090 is 5.
Lets's calculate LCM of 922,774
| 2 | 922, 774 |
| 461, 387 |
∴ So the LCM of the given numbers is 2 x 461 x 387 = 356814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/356814
Therefore, the GCF of Fractions 5335/922,6090/774 is 5/356814
Least Common Multiple of 922,774 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 922,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,774) x common factors =2 x 1 = 2
LCM(922,774) = ( 922 × 774 ) / 2
LCM(922,774) = 713628 / 2
LCM(922,774) = 356814
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FAQs on GCF of Fractions of 5335/922, 6090/774
1. What is the HCF of 5335,6090?
The HCF of 5335,6090 is 5
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 5335/922, 6090/774?
Answer: GCF of Numerators as per given numbers 5335/922, 6090/774 is
GCF of Numerators i.e. for 5335,6090 is 5
LCM of denominators i.e. for 922,774 is 356814.
Thus, GCF of Fractions is 5/356814.Finally, GCF of Fractions for 5335/922, 6090/774 is 5/356814.