GCF of 14/867, 26/342, 927/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/867, 26/342, 927/624 i.e 1/10279152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/867, 26/342, 927/624.
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 14/867,26/342,927/624?
Given fractions are 14/867,26/342,927/624
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 14/867,26/342,927/624, numerators are 14,26,927
Denominators are 867,342,624
The GCF of 14,26,927 is 1 .
LCM of 867,342,624 is 10279152.
The greatest common factor of 14/867,26/342,927/624 = [GCF of 14,26,927]/[LCM of 867,342,624]= 1/10279152
Therefore, the GCF of 14/867,26/342,927/624 is 1/10279152.
To find the highest common factor of 14,26,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 26 are 1, 2, 13, 26
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 14,26,927 is 1.
Lets's calculate GCF of 14,26,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,26,927 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 14,26,927 . The biggest common factor number is the GCF number.
So the greatest common factor 14,26,927 is 1.
Lets's calculate LCM of 867,342,624
| 2 | 867, 342, 624 |
| 3 | 867, 171, 312 |
| 289, 57, 104 |
∴ So the LCM of the given numbers is 2 x 3 x 289 x 57 x 104 = 10279152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10279152
Therefore, the GCF of Fractions 14/867,26/342,927/624 is 1/10279152
Least Common Multiple of 867,342,624 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 867,342,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,342,624) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(867,342,624) x common factors =3 x 6 = 18
LCM(867,342,624) = ( 867 × 342 × 624 ) / 18
LCM(867,342,624) = 185024736 / 18
LCM(867,342,624) = 10279152
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 14/867, 26/342, 927/624
1. What is the HCF of 14,26,927?
The HCF of 14,26,927 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 14/867, 26/342, 927/624?
Answer: GCF of Numerators as per given numbers 14/867, 26/342, 927/624 is
GCF of Numerators i.e. for 14,26,927 is 1
LCM of denominators i.e. for 867,342,624 is 10279152.
Thus, GCF of Fractions is 1/10279152.Finally, GCF of Fractions for 14/867, 26/342, 927/624 is 1/10279152.