GCF of 344/24, 921/49, 826/60
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 344/24, 921/49, 826/60 i.e 1/5880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/24, 921/49, 826/60.
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 344/24,921/49,826/60?
Given fractions are 344/24,921/49,826/60
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 344/24,921/49,826/60, numerators are 344,921,826
Denominators are 24,49,60
The GCF of 344,921,826 is 1 .
LCM of 24,49,60 is 5880.
The greatest common factor of 344/24,921/49,826/60 = [GCF of 344,921,826]/[LCM of 24,49,60]= 1/5880
Therefore, the GCF of 344/24,921/49,826/60 is 1/5880.
To find the highest common factor of 344,921,826, we have to find the factors of both numbers and list the highest common factor.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 921 are 1, 3, 307, 921
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The HCF of 344,921,826 is 1.
Lets's calculate GCF of 344,921,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 344,921,826 By Matching Biggest Common Factor Method
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 344,921,826 . The biggest common factor number is the GCF number.
So the greatest common factor 344,921,826 is 1.
Lets's calculate LCM of 24,49,60
| 2 | 24, 49, 60 |
| 2 | 12, 49, 30 |
| 3 | 6, 49, 15 |
| 2, 49, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 49 x 5 = 5880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5880
Therefore, the GCF of Fractions 344/24,921/49,826/60 is 1/5880
Least Common Multiple of 24,49,60 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 24,49,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,49,60) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(24,49,60) x common factors =1 x 12 = 12
LCM(24,49,60) = ( 24 × 49 × 60 ) / 12
LCM(24,49,60) = 70560 / 12
LCM(24,49,60) = 5880
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 344/24, 921/49, 826/60
1. What is the HCF of 344,921,826?
The HCF of 344,921,826 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 344/24, 921/49, 826/60?
Answer: GCF of Numerators as per given numbers 344/24, 921/49, 826/60 is
GCF of Numerators i.e. for 344,921,826 is 1
LCM of denominators i.e. for 24,49,60 is 5880.
Thus, GCF of Fractions is 1/5880.Finally, GCF of Fractions for 344/24, 921/49, 826/60 is 1/5880.