GCF of 354/14, 336/50, 835/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 354/14, 336/50, 835/170 i.e 1/5950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 354/14, 336/50, 835/170.
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 354/14,336/50,835/170?
Given fractions are 354/14,336/50,835/170
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 354/14,336/50,835/170, numerators are 354,336,835
Denominators are 14,50,170
The GCF of 354,336,835 is 1 .
LCM of 14,50,170 is 5950.
The greatest common factor of 354/14,336/50,835/170 = [GCF of 354,336,835]/[LCM of 14,50,170]= 1/5950
Therefore, the GCF of 354/14,336/50,835/170 is 1/5950.
To find the highest common factor of 354,336,835, we have to find the factors of both numbers and list the highest common factor.
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
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 835 are 1, 5, 167, 835
The HCF of 354,336,835 is 1.
Lets's calculate GCF of 354,336,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 354,336,835 By Matching Biggest Common Factor Method
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
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 835
:1,5,167,835
Greatest Common Factor
We found the factors 354,336,835 . The biggest common factor number is the GCF number.
So the greatest common factor 354,336,835 is 1.
Lets's calculate LCM of 14,50,170
| 2 | 14, 50, 170 |
| 5 | 7, 25, 85 |
| 7, 5, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 17 = 5950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5950
Therefore, the GCF of Fractions 354/14,336/50,835/170 is 1/5950
Least Common Multiple of 14,50,170 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 14,50,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,50,170) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(14,50,170) x common factors =2 x 10 = 20
LCM(14,50,170) = ( 14 × 50 × 170 ) / 20
LCM(14,50,170) = 119000 / 20
LCM(14,50,170) = 5950
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FAQs on GCF of Fractions of 354/14, 336/50, 835/170
1. What is the HCF of 354,336,835?
The HCF of 354,336,835 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 354/14, 336/50, 835/170?
Answer: GCF of Numerators as per given numbers 354/14, 336/50, 835/170 is
GCF of Numerators i.e. for 354,336,835 is 1
LCM of denominators i.e. for 14,50,170 is 5950.
Thus, GCF of Fractions is 1/5950.Finally, GCF of Fractions for 354/14, 336/50, 835/170 is 1/5950.