GCF of 336/74, 355/76, 861/113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/74, 355/76, 861/113 i.e 1/317756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/74, 355/76, 861/113.
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 336/74,355/76,861/113?
Given fractions are 336/74,355/76,861/113
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 336/74,355/76,861/113, numerators are 336,355,861
Denominators are 74,76,113
The GCF of 336,355,861 is 1 .
LCM of 74,76,113 is 317756.
The greatest common factor of 336/74,355/76,861/113 = [GCF of 336,355,861]/[LCM of 74,76,113]= 1/317756
Therefore, the GCF of 336/74,355/76,861/113 is 1/317756.
To find the highest common factor of 336,355,861, 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 355 are 1, 5, 71, 355
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The HCF of 336,355,861 is 1.
Lets's calculate GCF of 336,355,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 336,355,861 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 355
:1,5,71,355
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 336,355,861 . The biggest common factor number is the GCF number.
So the greatest common factor 336,355,861 is 1.
Lets's calculate LCM of 74,76,113
| 2 | 74, 76, 113 |
| 37, 38, 113 |
∴ So the LCM of the given numbers is 2 x 37 x 38 x 113 = 317756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317756
Therefore, the GCF of Fractions 336/74,355/76,861/113 is 1/317756
Least Common Multiple of 74,76,113 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 74,76,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,76,113) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,76,113) x common factors =1 x 2 = 2
LCM(74,76,113) = ( 74 × 76 × 113 ) / 2
LCM(74,76,113) = 635512 / 2
LCM(74,76,113) = 317756
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FAQs on GCF of Fractions of 336/74, 355/76, 861/113
1. What is the HCF of 336,355,861?
The HCF of 336,355,861 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 336/74, 355/76, 861/113?
Answer: GCF of Numerators as per given numbers 336/74, 355/76, 861/113 is
GCF of Numerators i.e. for 336,355,861 is 1
LCM of denominators i.e. for 74,76,113 is 317756.
Thus, GCF of Fractions is 1/317756.Finally, GCF of Fractions for 336/74, 355/76, 861/113 is 1/317756.