GCF of 336/91, 260/859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/91, 260/859 i.e 4/78169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/91, 260/859.
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 336/91,260/859?
Given fractions are 336/91,260/859
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 336/91,260/859, numerators are 336,260
Denominators are 91,859
The GCF of 336,260 is 4 .
LCM of 91,859 is 78169.
The greatest common factor of 336/91,260/859 = [GCF of 336,260]/[LCM of 91,859]= 4/78169
Therefore, the GCF of 336/91,260/859 is 4/78169.
To find the highest common factor of 336,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 336,260 is 4.
Lets's calculate GCF of 336,260
| 2 | 336, 260 |
| 2 | 168, 130 |
| 84, 65 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 336,260 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 336,260 . The biggest common factor number is the GCF number.
So the greatest common factor 336,260 is 4.
Lets's calculate LCM of 91,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 78169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/78169
Therefore, the GCF of Fractions 336/91,260/859 is 4/78169
Least Common Multiple of 91,859 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 91,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,859) x common factors =1 x 1 = 1
LCM(91,859) = ( 91 × 859 ) / 1
LCM(91,859) = 78169 / 1
LCM(91,859) = 78169
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FAQs on GCF of Fractions of 336/91, 260/859
1. What is the HCF of 336,260?
The HCF of 336,260 is 4
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 336/91, 260/859?
Answer: GCF of Numerators as per given numbers 336/91, 260/859 is
GCF of Numerators i.e. for 336,260 is 4
LCM of denominators i.e. for 91,859 is 78169.
Thus, GCF of Fractions is 4/78169.Finally, GCF of Fractions for 336/91, 260/859 is 4/78169.