GCF of 34/683, 99/833, 858/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/683, 99/833, 858/478 i.e 1/271952842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/683, 99/833, 858/478.
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 34/683,99/833,858/478?
Given fractions are 34/683,99/833,858/478
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 34/683,99/833,858/478, numerators are 34,99,858
Denominators are 683,833,478
The GCF of 34,99,858 is 1 .
LCM of 683,833,478 is 271952842.
The greatest common factor of 34/683,99/833,858/478 = [GCF of 34,99,858]/[LCM of 683,833,478]= 1/271952842
Therefore, the GCF of 34/683,99/833,858/478 is 1/271952842.
To find the highest common factor of 34,99,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 34,99,858 is 1.
Lets's calculate GCF of 34,99,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,99,858 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 34,99,858 . The biggest common factor number is the GCF number.
So the greatest common factor 34,99,858 is 1.
Lets's calculate LCM of 683,833,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 271952842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271952842
Therefore, the GCF of Fractions 34/683,99/833,858/478 is 1/271952842
Least Common Multiple of 683,833,478 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 683,833,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,833,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,833,478) x common factors =1 x 1 = 1
LCM(683,833,478) = ( 683 × 833 × 478 ) / 1
LCM(683,833,478) = 271952842 / 1
LCM(683,833,478) = 271952842
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FAQs on GCF of Fractions of 34/683, 99/833, 858/478
1. What is the HCF of 34,99,858?
The HCF of 34,99,858 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 34/683, 99/833, 858/478?
Answer: GCF of Numerators as per given numbers 34/683, 99/833, 858/478 is
GCF of Numerators i.e. for 34,99,858 is 1
LCM of denominators i.e. for 683,833,478 is 271952842.
Thus, GCF of Fractions is 1/271952842.Finally, GCF of Fractions for 34/683, 99/833, 858/478 is 1/271952842.