GCF of 357/134, 821/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/134, 821/319 i.e 1/42746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/134, 821/319.
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 357/134,821/319?
Given fractions are 357/134,821/319
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 357/134,821/319, numerators are 357,821
Denominators are 134,319
The GCF of 357,821 is 1 .
LCM of 134,319 is 42746.
The greatest common factor of 357/134,821/319 = [GCF of 357,821]/[LCM of 134,319]= 1/42746
Therefore, the GCF of 357/134,821/319 is 1/42746.
To find the highest common factor of 357,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 821 are 1, 821
The HCF of 357,821 is 1.
Lets's calculate GCF of 357,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 357,821 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 357,821 . The biggest common factor number is the GCF number.
So the greatest common factor 357,821 is 1.
Lets's calculate LCM of 134,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 42746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42746
Therefore, the GCF of Fractions 357/134,821/319 is 1/42746
Least Common Multiple of 134,319 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 134,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,319) x common factors =1 x 1 = 1
LCM(134,319) = ( 134 × 319 ) / 1
LCM(134,319) = 42746 / 1
LCM(134,319) = 42746
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FAQs on GCF of Fractions of 357/134, 821/319
1. What is the HCF of 357,821?
The HCF of 357,821 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 357/134, 821/319?
Answer: GCF of Numerators as per given numbers 357/134, 821/319 is
GCF of Numerators i.e. for 357,821 is 1
LCM of denominators i.e. for 134,319 is 42746.
Thus, GCF of Fractions is 1/42746.Finally, GCF of Fractions for 357/134, 821/319 is 1/42746.