GCF of 894/928, 525/833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 894/928, 525/833 i.e 3/773024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/928, 525/833.
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 894/928,525/833?
Given fractions are 894/928,525/833
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 894/928,525/833, numerators are 894,525
Denominators are 928,833
The GCF of 894,525 is 3 .
LCM of 928,833 is 773024.
The greatest common factor of 894/928,525/833 = [GCF of 894,525]/[LCM of 928,833]= 3/773024
Therefore, the GCF of 894/928,525/833 is 3/773024.
To find the highest common factor of 894,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 894,525 is 3.
Lets's calculate GCF of 894,525
| 3 | 894, 525 |
| 298, 175 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 894,525 By Matching Biggest Common Factor Method
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 894,525 . The biggest common factor number is the GCF number.
So the greatest common factor 894,525 is 3.
Lets's calculate LCM of 928,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 773024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/773024
Therefore, the GCF of Fractions 894/928,525/833 is 3/773024
Least Common Multiple of 928,833 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 928,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,833) x common factors =1 x 1 = 1
LCM(928,833) = ( 928 × 833 ) / 1
LCM(928,833) = 773024 / 1
LCM(928,833) = 773024
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FAQs on GCF of Fractions of 894/928, 525/833
1. What is the HCF of 894,525?
The HCF of 894,525 is 3
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 894/928, 525/833?
Answer: GCF of Numerators as per given numbers 894/928, 525/833 is
GCF of Numerators i.e. for 894,525 is 3
LCM of denominators i.e. for 928,833 is 773024.
Thus, GCF of Fractions is 3/773024.Finally, GCF of Fractions for 894/928, 525/833 is 3/773024.