GCF of 75/711, 73/633, 670/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 75/711, 73/633, 670/319 i.e 1/47856699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/711, 73/633, 670/319.
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 75/711,73/633,670/319?
Given fractions are 75/711,73/633,670/319
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 75/711,73/633,670/319, numerators are 75,73,670
Denominators are 711,633,319
The GCF of 75,73,670 is 1 .
LCM of 711,633,319 is 47856699.
The greatest common factor of 75/711,73/633,670/319 = [GCF of 75,73,670]/[LCM of 711,633,319]= 1/47856699
Therefore, the GCF of 75/711,73/633,670/319 is 1/47856699.
To find the highest common factor of 75,73,670, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 73 are 1, 73
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The HCF of 75,73,670 is 1.
Lets's calculate GCF of 75,73,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 75,73,670 By Matching Biggest Common Factor Method
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 73
:1,73
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 75,73,670 . The biggest common factor number is the GCF number.
So the greatest common factor 75,73,670 is 1.
Lets's calculate LCM of 711,633,319
| 3 | 711, 633, 319 |
| 237, 211, 319 |
∴ So the LCM of the given numbers is 3 x 237 x 211 x 319 = 47856699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47856699
Therefore, the GCF of Fractions 75/711,73/633,670/319 is 1/47856699
Least Common Multiple of 711,633,319 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 711,633,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,633,319) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(711,633,319) x common factors =1 x 3 = 3
LCM(711,633,319) = ( 711 × 633 × 319 ) / 3
LCM(711,633,319) = 143570097 / 3
LCM(711,633,319) = 47856699
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FAQs on GCF of Fractions of 75/711, 73/633, 670/319
1. What is the HCF of 75,73,670?
The HCF of 75,73,670 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 75/711, 73/633, 670/319?
Answer: GCF of Numerators as per given numbers 75/711, 73/633, 670/319 is
GCF of Numerators i.e. for 75,73,670 is 1
LCM of denominators i.e. for 711,633,319 is 47856699.
Thus, GCF of Fractions is 1/47856699.Finally, GCF of Fractions for 75/711, 73/633, 670/319 is 1/47856699.