GCF of 26/59, 72/26, 70/82, 14/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 26/59, 72/26, 70/82, 14/276 i.e 2/8679372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/59, 72/26, 70/82, 14/276.
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 26/59,72/26,70/82,14/276?
Given fractions are 26/59,72/26,70/82,14/276
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 26/59,72/26,70/82,14/276, numerators are 26,72,70,14
Denominators are 59,26,82,276
The GCF of 26,72,70,14 is 2 .
LCM of 59,26,82,276 is 8679372.
The greatest common factor of 26/59,72/26,70/82,14/276 = [GCF of 26,72,70,14]/[LCM of 59,26,82,276]= 2/8679372
Therefore, the GCF of 26/59,72/26,70/82,14/276 is 2/8679372.
To find the highest common factor of 26,72,70,14, 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 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 14 are 1, 2, 7, 14
The HCF of 26,72,70,14 is 2.
Lets's calculate GCF of 26,72,70,14
| 2 | 26, 72, 70, 14 |
| 13, 36, 35, 7 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 26,72,70,14 By Matching Biggest Common Factor Method
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 14
:1,2,7,14
Greatest Common Factor
We found the factors 26,72,70,14 . The biggest common factor number is the GCF number.
So the greatest common factor 26,72,70,14 is 2.
Lets's calculate LCM of 59,26,82,276
| 2 | 59, 26, 82, 276 |
| 59, 13, 41, 138 |
∴ So the LCM of the given numbers is 2 x 59 x 13 x 41 x 138 = 8679372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8679372
Therefore, the GCF of Fractions 26/59,72/26,70/82,14/276 is 2/8679372
Least Common Multiple of 59,26,82,276 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 59,26,82,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,26,82,276) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(59,26,82,276) x common factors =1 x 4 = 4
LCM(59,26,82,276) = ( 59 × 26 × 82 × 276 ) / 4
LCM(59,26,82,276) = 34717488 / 4
LCM(59,26,82,276) = 8679372
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 26/59, 72/26, 70/82, 14/276
1. What is the HCF of 26,72,70,14?
The HCF of 26,72,70,14 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 26/59, 72/26, 70/82, 14/276?
Answer: GCF of Numerators as per given numbers 26/59, 72/26, 70/82, 14/276 is
GCF of Numerators i.e. for 26,72,70,14 is 2
LCM of denominators i.e. for 59,26,82,276 is 8679372.
Thus, GCF of Fractions is 2/8679372.Finally, GCF of Fractions for 26/59, 72/26, 70/82, 14/276 is 2/8679372.