GCF of 8893/954, 6604/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8893/954, 6604/844 i.e 1/402588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8893/954, 6604/844.
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 8893/954,6604/844?
Given fractions are 8893/954,6604/844
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 8893/954,6604/844, numerators are 8893,6604
Denominators are 954,844
The GCF of 8893,6604 is 1 .
LCM of 954,844 is 402588.
The greatest common factor of 8893/954,6604/844 = [GCF of 8893,6604]/[LCM of 954,844]= 1/402588
Therefore, the GCF of 8893/954,6604/844 is 1/402588.
To find the highest common factor of 8893,6604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8893 are 1, 8893
The factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604
The HCF of 8893,6604 is 1.
Lets's calculate GCF of 8893,6604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8893,6604 By Matching Biggest Common Factor Method
Now, list down the factors of 8893
:1,8893
Now, list down the factors of 6604
:1,2,4,13,26,52,127,254,508,1651,3302,6604
Greatest Common Factor
We found the factors 8893,6604 . The biggest common factor number is the GCF number.
So the greatest common factor 8893,6604 is 1.
Lets's calculate LCM of 954,844
| 2 | 954, 844 |
| 477, 422 |
∴ So the LCM of the given numbers is 2 x 477 x 422 = 402588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402588
Therefore, the GCF of Fractions 8893/954,6604/844 is 1/402588
Least Common Multiple of 954,844 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 954,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,844) x common factors =2 x 1 = 2
LCM(954,844) = ( 954 × 844 ) / 2
LCM(954,844) = 805176 / 2
LCM(954,844) = 402588
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FAQs on GCF of Fractions of 8893/954, 6604/844
1. What is the HCF of 8893,6604?
The HCF of 8893,6604 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 8893/954, 6604/844?
Answer: GCF of Numerators as per given numbers 8893/954, 6604/844 is
GCF of Numerators i.e. for 8893,6604 is 1
LCM of denominators i.e. for 954,844 is 402588.
Thus, GCF of Fractions is 1/402588.Finally, GCF of Fractions for 8893/954, 6604/844 is 1/402588.