GCF of 1553/618, 9889/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1553/618, 9889/974 i.e 1/300966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1553/618, 9889/974.
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 1553/618,9889/974?
Given fractions are 1553/618,9889/974
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 1553/618,9889/974, numerators are 1553,9889
Denominators are 618,974
The GCF of 1553,9889 is 1 .
LCM of 618,974 is 300966.
The greatest common factor of 1553/618,9889/974 = [GCF of 1553,9889]/[LCM of 618,974]= 1/300966
Therefore, the GCF of 1553/618,9889/974 is 1/300966.
To find the highest common factor of 1553,9889, we have to find the factors of both numbers and list the highest common factor.
The factors of 1553 are 1, 1553
The factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889
The HCF of 1553,9889 is 1.
Lets's calculate GCF of 1553,9889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1553,9889 By Matching Biggest Common Factor Method
Now, list down the factors of 1553
:1,1553
Now, list down the factors of 9889
:1,11,29,31,319,341,899,9889
Greatest Common Factor
We found the factors 1553,9889 . The biggest common factor number is the GCF number.
So the greatest common factor 1553,9889 is 1.
Lets's calculate LCM of 618,974
| 2 | 618, 974 |
| 309, 487 |
∴ So the LCM of the given numbers is 2 x 309 x 487 = 300966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300966
Therefore, the GCF of Fractions 1553/618,9889/974 is 1/300966
Least Common Multiple of 618,974 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 618,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,974) x common factors =2 x 1 = 2
LCM(618,974) = ( 618 × 974 ) / 2
LCM(618,974) = 601932 / 2
LCM(618,974) = 300966
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FAQs on GCF of Fractions of 1553/618, 9889/974
1. What is the HCF of 1553,9889?
The HCF of 1553,9889 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 1553/618, 9889/974?
Answer: GCF of Numerators as per given numbers 1553/618, 9889/974 is
GCF of Numerators i.e. for 1553,9889 is 1
LCM of denominators i.e. for 618,974 is 300966.
Thus, GCF of Fractions is 1/300966.Finally, GCF of Fractions for 1553/618, 9889/974 is 1/300966.