GCF of 921/723, 3858/5640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 921/723, 3858/5640 i.e 3/1359240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/723, 3858/5640.
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 921/723,3858/5640?
Given fractions are 921/723,3858/5640
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 921/723,3858/5640, numerators are 921,3858
Denominators are 723,5640
The GCF of 921,3858 is 3 .
LCM of 723,5640 is 1359240.
The greatest common factor of 921/723,3858/5640 = [GCF of 921,3858]/[LCM of 723,5640]= 3/1359240
Therefore, the GCF of 921/723,3858/5640 is 3/1359240.
To find the highest common factor of 921,3858, we have to find the factors of both numbers and list the highest common factor.
The factors of 921 are 1, 3, 307, 921
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The HCF of 921,3858 is 3.
Lets's calculate GCF of 921,3858
| 3 | 921, 3858 |
| 307, 1286 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 921,3858 By Matching Biggest Common Factor Method
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 921,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 921,3858 is 3.
Lets's calculate LCM of 723,5640
| 3 | 723, 5640 |
| 241, 1880 |
∴ So the LCM of the given numbers is 3 x 241 x 1880 = 1359240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1359240
Therefore, the GCF of Fractions 921/723,3858/5640 is 3/1359240
Least Common Multiple of 723,5640 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 723,5640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,5640) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,5640) x common factors =3 x 1 = 3
LCM(723,5640) = ( 723 × 5640 ) / 3
LCM(723,5640) = 4077720 / 3
LCM(723,5640) = 1359240
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FAQs on GCF of Fractions of 921/723, 3858/5640
1. What is the HCF of 921,3858?
The HCF of 921,3858 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 921/723, 3858/5640?
Answer: GCF of Numerators as per given numbers 921/723, 3858/5640 is
GCF of Numerators i.e. for 921,3858 is 3
LCM of denominators i.e. for 723,5640 is 1359240.
Thus, GCF of Fractions is 3/1359240.Finally, GCF of Fractions for 921/723, 3858/5640 is 3/1359240.