GCF of 26/312, 12/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 26/312, 12/7074 i.e 2/367848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/312, 12/7074.
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 26/312,12/7074?
Given fractions are 26/312,12/7074
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 26/312,12/7074, numerators are 26,12
Denominators are 312,7074
The GCF of 26,12 is 2 .
LCM of 312,7074 is 367848.
The greatest common factor of 26/312,12/7074 = [GCF of 26,12]/[LCM of 312,7074]= 2/367848
Therefore, the GCF of 26/312,12/7074 is 2/367848.
To find the highest common factor of 26,12, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 12 are 1, 2, 3, 4, 6, 12
The HCF of 26,12 is 2.
Lets's calculate GCF of 26,12
| 2 | 26, 12 |
| 13, 6 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 26,12 By Matching Biggest Common Factor Method
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 12
:1,2,3,4,6,12
Greatest Common Factor
We found the factors 26,12 . The biggest common factor number is the GCF number.
So the greatest common factor 26,12 is 2.
Lets's calculate LCM of 312,7074
| 2 | 312, 7074 |
| 3 | 156, 3537 |
| 52, 1179 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 1179 = 367848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/367848
Therefore, the GCF of Fractions 26/312,12/7074 is 2/367848
Least Common Multiple of 312,7074 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 312,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,7074) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(312,7074) x common factors =6 x 1 = 6
LCM(312,7074) = ( 312 × 7074 ) / 6
LCM(312,7074) = 2207088 / 6
LCM(312,7074) = 367848
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FAQs on GCF of Fractions of 26/312, 12/7074
1. What is the HCF of 26,12?
The HCF of 26,12 is 2
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 26/312, 12/7074?
Answer: GCF of Numerators as per given numbers 26/312, 12/7074 is
GCF of Numerators i.e. for 26,12 is 2
LCM of denominators i.e. for 312,7074 is 367848.
Thus, GCF of Fractions is 2/367848.Finally, GCF of Fractions for 26/312, 12/7074 is 2/367848.