GCF of 3/47, 16/64, 57/705, 114/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/47, 16/64, 57/705, 114/964 i.e 1/10873920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/47, 16/64, 57/705, 114/964.
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 3/47,16/64,57/705,114/964?
Given fractions are 3/47,16/64,57/705,114/964
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 3/47,16/64,57/705,114/964, numerators are 3,16,57,114
Denominators are 47,64,705,964
The GCF of 3,16,57,114 is 1 .
LCM of 47,64,705,964 is 10873920.
The greatest common factor of 3/47,16/64,57/705,114/964 = [GCF of 3,16,57,114]/[LCM of 47,64,705,964]= 1/10873920
Therefore, the GCF of 3/47,16/64,57/705,114/964 is 1/10873920.
To find the highest common factor of 3,16,57,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 16 are 1, 2, 4, 8, 16
The factors of 57 are 1, 3, 19, 57
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 3,16,57,114 is 1.
Lets's calculate GCF of 3,16,57,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3,16,57,114 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 3,16,57,114 . The biggest common factor number is the GCF number.
So the greatest common factor 3,16,57,114 is 1.
Lets's calculate LCM of 47,64,705,964
| 2 | 47, 64, 705, 964 |
| 2 | 47, 32, 705, 482 |
| 47 | 47, 16, 705, 241 |
| 1, 16, 15, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 1 x 16 x 15 x 241 = 10873920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10873920
Therefore, the GCF of Fractions 3/47,16/64,57/705,114/964 is 1/10873920
Least Common Multiple of 47,64,705,964 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 47,64,705,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,64,705,964) = 1
common factors(in case of two or more numbers have common factors) = 188
GCF(47,64,705,964) x common factors =1 x 188 = 188
LCM(47,64,705,964) = ( 47 × 64 × 705 × 964 ) / 188
LCM(47,64,705,964) = 2044296960 / 188
LCM(47,64,705,964) = 10873920
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3/47, 16/64, 57/705, 114/964
1. What is the HCF of 3,16,57,114?
The HCF of 3,16,57,114 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 3/47, 16/64, 57/705, 114/964?
Answer: GCF of Numerators as per given numbers 3/47, 16/64, 57/705, 114/964 is
GCF of Numerators i.e. for 3,16,57,114 is 1
LCM of denominators i.e. for 47,64,705,964 is 10873920.
Thus, GCF of Fractions is 1/10873920.Finally, GCF of Fractions for 3/47, 16/64, 57/705, 114/964 is 1/10873920.