GCF of 62/705, 96/178, 219/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/705, 96/178, 219/689 i.e 1/86462610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/705, 96/178, 219/689.
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 62/705,96/178,219/689?
Given fractions are 62/705,96/178,219/689
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 62/705,96/178,219/689, numerators are 62,96,219
Denominators are 705,178,689
The GCF of 62,96,219 is 1 .
LCM of 705,178,689 is 86462610.
The greatest common factor of 62/705,96/178,219/689 = [GCF of 62,96,219]/[LCM of 705,178,689]= 1/86462610
Therefore, the GCF of 62/705,96/178,219/689 is 1/86462610.
To find the highest common factor of 62,96,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 219 are 1, 3, 73, 219
The HCF of 62,96,219 is 1.
Lets's calculate GCF of 62,96,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,96,219 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 62,96,219 . The biggest common factor number is the GCF number.
So the greatest common factor 62,96,219 is 1.
Lets's calculate LCM of 705,178,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 86462610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86462610
Therefore, the GCF of Fractions 62/705,96/178,219/689 is 1/86462610
Least Common Multiple of 705,178,689 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 705,178,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,178,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,178,689) x common factors =1 x 1 = 1
LCM(705,178,689) = ( 705 × 178 × 689 ) / 1
LCM(705,178,689) = 86462610 / 1
LCM(705,178,689) = 86462610
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FAQs on GCF of Fractions of 62/705, 96/178, 219/689
1. What is the HCF of 62,96,219?
The HCF of 62,96,219 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 62/705, 96/178, 219/689?
Answer: GCF of Numerators as per given numbers 62/705, 96/178, 219/689 is
GCF of Numerators i.e. for 62,96,219 is 1
LCM of denominators i.e. for 705,178,689 is 86462610.
Thus, GCF of Fractions is 1/86462610.Finally, GCF of Fractions for 62/705, 96/178, 219/689 is 1/86462610.