GCF of 3451/357, 5367/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3451/357, 5367/105 i.e 1/1785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3451/357, 5367/105.
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 3451/357,5367/105?
Given fractions are 3451/357,5367/105
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 3451/357,5367/105, numerators are 3451,5367
Denominators are 357,105
The GCF of 3451,5367 is 1 .
LCM of 357,105 is 1785.
The greatest common factor of 3451/357,5367/105 = [GCF of 3451,5367]/[LCM of 357,105]= 1/1785
Therefore, the GCF of 3451/357,5367/105 is 1/1785.
To find the highest common factor of 3451,5367, we have to find the factors of both numbers and list the highest common factor.
The factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451
The factors of 5367 are 1, 3, 1789, 5367
The HCF of 3451,5367 is 1.
Lets's calculate GCF of 3451,5367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3451,5367 By Matching Biggest Common Factor Method
Now, list down the factors of 3451
:1,7,17,29,119,203,493,3451
Now, list down the factors of 5367
:1,3,1789,5367
Greatest Common Factor
We found the factors 3451,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 3451,5367 is 1.
Lets's calculate LCM of 357,105
| 3 | 357, 105 |
| 7 | 119, 35 |
| 17, 5 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 5 = 1785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785
Therefore, the GCF of Fractions 3451/357,5367/105 is 1/1785
Least Common Multiple of 357,105 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 357,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,105) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(357,105) x common factors =21 x 1 = 21
LCM(357,105) = ( 357 × 105 ) / 21
LCM(357,105) = 37485 / 21
LCM(357,105) = 1785
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FAQs on GCF of Fractions of 3451/357, 5367/105
1. What is the HCF of 3451,5367?
The HCF of 3451,5367 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 3451/357, 5367/105?
Answer: GCF of Numerators as per given numbers 3451/357, 5367/105 is
GCF of Numerators i.e. for 3451,5367 is 1
LCM of denominators i.e. for 357,105 is 1785.
Thus, GCF of Fractions is 1/1785.Finally, GCF of Fractions for 3451/357, 5367/105 is 1/1785.