GCF of 3468/826, 4723/3532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3468/826, 4723/3532 i.e 1/1458716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3468/826, 4723/3532.
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 3468/826,4723/3532?
Given fractions are 3468/826,4723/3532
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 3468/826,4723/3532, numerators are 3468,4723
Denominators are 826,3532
The GCF of 3468,4723 is 1 .
LCM of 826,3532 is 1458716.
The greatest common factor of 3468/826,4723/3532 = [GCF of 3468,4723]/[LCM of 826,3532]= 1/1458716
Therefore, the GCF of 3468/826,4723/3532 is 1/1458716.
To find the highest common factor of 3468,4723, we have to find the factors of both numbers and list the highest common factor.
The factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
The factors of 4723 are 1, 4723
The HCF of 3468,4723 is 1.
Lets's calculate GCF of 3468,4723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3468,4723 By Matching Biggest Common Factor Method
Now, list down the factors of 3468
:1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Now, list down the factors of 4723
:1,4723
Greatest Common Factor
We found the factors 3468,4723 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,4723 is 1.
Lets's calculate LCM of 826,3532
| 2 | 826, 3532 |
| 413, 1766 |
∴ So the LCM of the given numbers is 2 x 413 x 1766 = 1458716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1458716
Therefore, the GCF of Fractions 3468/826,4723/3532 is 1/1458716
Least Common Multiple of 826,3532 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 826,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,3532) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,3532) x common factors =2 x 1 = 2
LCM(826,3532) = ( 826 × 3532 ) / 2
LCM(826,3532) = 2917432 / 2
LCM(826,3532) = 1458716
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FAQs on GCF of Fractions of 3468/826, 4723/3532
1. What is the HCF of 3468,4723?
The HCF of 3468,4723 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 3468/826, 4723/3532?
Answer: GCF of Numerators as per given numbers 3468/826, 4723/3532 is
GCF of Numerators i.e. for 3468,4723 is 1
LCM of denominators i.e. for 826,3532 is 1458716.
Thus, GCF of Fractions is 1/1458716.Finally, GCF of Fractions for 3468/826, 4723/3532 is 1/1458716.