GCF of 9628/922, 2598/1885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9628/922, 2598/1885 i.e 2/1737970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9628/922, 2598/1885.
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 9628/922,2598/1885?
Given fractions are 9628/922,2598/1885
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 9628/922,2598/1885, numerators are 9628,2598
Denominators are 922,1885
The GCF of 9628,2598 is 2 .
LCM of 922,1885 is 1737970.
The greatest common factor of 9628/922,2598/1885 = [GCF of 9628,2598]/[LCM of 922,1885]= 2/1737970
Therefore, the GCF of 9628/922,2598/1885 is 2/1737970.
To find the highest common factor of 9628,2598, we have to find the factors of both numbers and list the highest common factor.
The factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
The factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598
The HCF of 9628,2598 is 2.
Lets's calculate GCF of 9628,2598
| 2 | 9628, 2598 |
| 4814, 1299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9628,2598 By Matching Biggest Common Factor Method
Now, list down the factors of 9628
:1,2,4,29,58,83,116,166,332,2407,4814,9628
Now, list down the factors of 2598
:1,2,3,6,433,866,1299,2598
Greatest Common Factor
We found the factors 9628,2598 . The biggest common factor number is the GCF number.
So the greatest common factor 9628,2598 is 2.
Lets's calculate LCM of 922,1885
Given numbers has no common factors except 1. So, there LCM is their product i.e 1737970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1737970
Therefore, the GCF of Fractions 9628/922,2598/1885 is 2/1737970
Least Common Multiple of 922,1885 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 922,1885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,1885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,1885) x common factors =1 x 1 = 1
LCM(922,1885) = ( 922 × 1885 ) / 1
LCM(922,1885) = 1737970 / 1
LCM(922,1885) = 1737970
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FAQs on GCF of Fractions of 9628/922, 2598/1885
1. What is the HCF of 9628,2598?
The HCF of 9628,2598 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 9628/922, 2598/1885?
Answer: GCF of Numerators as per given numbers 9628/922, 2598/1885 is
GCF of Numerators i.e. for 9628,2598 is 2
LCM of denominators i.e. for 922,1885 is 1737970.
Thus, GCF of Fractions is 2/1737970.Finally, GCF of Fractions for 9628/922, 2598/1885 is 2/1737970.