GCF of 34/340, 96/471, 616/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/340, 96/471, 616/552 i.e 2/7366440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/340, 96/471, 616/552.
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 34/340,96/471,616/552?
Given fractions are 34/340,96/471,616/552
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 34/340,96/471,616/552, numerators are 34,96,616
Denominators are 340,471,552
The GCF of 34,96,616 is 2 .
LCM of 340,471,552 is 7366440.
The greatest common factor of 34/340,96/471,616/552 = [GCF of 34,96,616]/[LCM of 340,471,552]= 2/7366440
Therefore, the GCF of 34/340,96/471,616/552 is 2/7366440.
To find the highest common factor of 34,96,616, 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 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 34,96,616 is 2.
Lets's calculate GCF of 34,96,616
| 2 | 34, 96, 616 |
| 17, 48, 308 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,96,616 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
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 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 34,96,616 . The biggest common factor number is the GCF number.
So the greatest common factor 34,96,616 is 2.
Lets's calculate LCM of 340,471,552
| 2 | 340, 471, 552 |
| 2 | 170, 471, 276 |
| 3 | 85, 471, 138 |
| 85, 157, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 85 x 157 x 46 = 7366440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7366440
Therefore, the GCF of Fractions 34/340,96/471,616/552 is 2/7366440
Least Common Multiple of 340,471,552 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 340,471,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,471,552) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(340,471,552) x common factors =1 x 12 = 12
LCM(340,471,552) = ( 340 × 471 × 552 ) / 12
LCM(340,471,552) = 88397280 / 12
LCM(340,471,552) = 7366440
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FAQs on GCF of Fractions of 34/340, 96/471, 616/552
1. What is the HCF of 34,96,616?
The HCF of 34,96,616 is 2
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 34/340, 96/471, 616/552?
Answer: GCF of Numerators as per given numbers 34/340, 96/471, 616/552 is
GCF of Numerators i.e. for 34,96,616 is 2
LCM of denominators i.e. for 340,471,552 is 7366440.
Thus, GCF of Fractions is 2/7366440.Finally, GCF of Fractions for 34/340, 96/471, 616/552 is 2/7366440.