GCF of 564/619, 769/850, 723/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 564/619, 769/850, 723/486 i.e 1/127854450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/619, 769/850, 723/486.
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 564/619,769/850,723/486?
Given fractions are 564/619,769/850,723/486
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 564/619,769/850,723/486, numerators are 564,769,723
Denominators are 619,850,486
The GCF of 564,769,723 is 1 .
LCM of 619,850,486 is 127854450.
The greatest common factor of 564/619,769/850,723/486 = [GCF of 564,769,723]/[LCM of 619,850,486]= 1/127854450
Therefore, the GCF of 564/619,769/850,723/486 is 1/127854450.
To find the highest common factor of 564,769,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 769 are 1, 769
The factors of 723 are 1, 3, 241, 723
The HCF of 564,769,723 is 1.
Lets's calculate GCF of 564,769,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 564,769,723 By Matching Biggest Common Factor Method
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 769
:1,769
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 564,769,723 . The biggest common factor number is the GCF number.
So the greatest common factor 564,769,723 is 1.
Lets's calculate LCM of 619,850,486
| 2 | 619, 850, 486 |
| 619, 425, 243 |
∴ So the LCM of the given numbers is 2 x 619 x 425 x 243 = 127854450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127854450
Therefore, the GCF of Fractions 564/619,769/850,723/486 is 1/127854450
Least Common Multiple of 619,850,486 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 619,850,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,850,486) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(619,850,486) x common factors =1 x 2 = 2
LCM(619,850,486) = ( 619 × 850 × 486 ) / 2
LCM(619,850,486) = 255708900 / 2
LCM(619,850,486) = 127854450
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FAQs on GCF of Fractions of 564/619, 769/850, 723/486
1. What is the HCF of 564,769,723?
The HCF of 564,769,723 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 564/619, 769/850, 723/486?
Answer: GCF of Numerators as per given numbers 564/619, 769/850, 723/486 is
GCF of Numerators i.e. for 564,769,723 is 1
LCM of denominators i.e. for 619,850,486 is 127854450.
Thus, GCF of Fractions is 1/127854450.Finally, GCF of Fractions for 564/619, 769/850, 723/486 is 1/127854450.