GCF of 833/32, 745/44, 948/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 833/32, 745/44, 948/621 i.e 1/218592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/32, 745/44, 948/621.
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 833/32,745/44,948/621?
Given fractions are 833/32,745/44,948/621
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 833/32,745/44,948/621, numerators are 833,745,948
Denominators are 32,44,621
The GCF of 833,745,948 is 1 .
LCM of 32,44,621 is 218592.
The greatest common factor of 833/32,745/44,948/621 = [GCF of 833,745,948]/[LCM of 32,44,621]= 1/218592
Therefore, the GCF of 833/32,745/44,948/621 is 1/218592.
To find the highest common factor of 833,745,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 833 are 1, 7, 17, 49, 119, 833
The factors of 745 are 1, 5, 149, 745
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 833,745,948 is 1.
Lets's calculate GCF of 833,745,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 833,745,948 By Matching Biggest Common Factor Method
Now, list down the factors of 833
:1,7,17,49,119,833
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 833,745,948 . The biggest common factor number is the GCF number.
So the greatest common factor 833,745,948 is 1.
Lets's calculate LCM of 32,44,621
| 2 | 32, 44, 621 |
| 2 | 16, 22, 621 |
| 8, 11, 621 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 11 x 621 = 218592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218592
Therefore, the GCF of Fractions 833/32,745/44,948/621 is 1/218592
Least Common Multiple of 32,44,621 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 32,44,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,44,621) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,44,621) x common factors =1 x 4 = 4
LCM(32,44,621) = ( 32 × 44 × 621 ) / 4
LCM(32,44,621) = 874368 / 4
LCM(32,44,621) = 218592
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 833/32, 745/44, 948/621
1. What is the HCF of 833,745,948?
The HCF of 833,745,948 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 833/32, 745/44, 948/621?
Answer: GCF of Numerators as per given numbers 833/32, 745/44, 948/621 is
GCF of Numerators i.e. for 833,745,948 is 1
LCM of denominators i.e. for 32,44,621 is 218592.
Thus, GCF of Fractions is 1/218592.Finally, GCF of Fractions for 833/32, 745/44, 948/621 is 1/218592.