GCF of 92/619, 145/736, 569/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/619, 145/736, 569/818 i.e 1/186333856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/619, 145/736, 569/818.
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 92/619,145/736,569/818?
Given fractions are 92/619,145/736,569/818
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 92/619,145/736,569/818, numerators are 92,145,569
Denominators are 619,736,818
The GCF of 92,145,569 is 1 .
LCM of 619,736,818 is 186333856.
The greatest common factor of 92/619,145/736,569/818 = [GCF of 92,145,569]/[LCM of 619,736,818]= 1/186333856
Therefore, the GCF of 92/619,145/736,569/818 is 1/186333856.
To find the highest common factor of 92,145,569, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 145 are 1, 5, 29, 145
The factors of 569 are 1, 569
The HCF of 92,145,569 is 1.
Lets's calculate GCF of 92,145,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,145,569 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 569
:1,569
Greatest Common Factor
We found the factors 92,145,569 . The biggest common factor number is the GCF number.
So the greatest common factor 92,145,569 is 1.
Lets's calculate LCM of 619,736,818
| 2 | 619, 736, 818 |
| 619, 368, 409 |
∴ So the LCM of the given numbers is 2 x 619 x 368 x 409 = 186333856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186333856
Therefore, the GCF of Fractions 92/619,145/736,569/818 is 1/186333856
Least Common Multiple of 619,736,818 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 619,736,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,736,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(619,736,818) x common factors =1 x 2 = 2
LCM(619,736,818) = ( 619 × 736 × 818 ) / 2
LCM(619,736,818) = 372667712 / 2
LCM(619,736,818) = 186333856
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FAQs on GCF of Fractions of 92/619, 145/736, 569/818
1. What is the HCF of 92,145,569?
The HCF of 92,145,569 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 92/619, 145/736, 569/818?
Answer: GCF of Numerators as per given numbers 92/619, 145/736, 569/818 is
GCF of Numerators i.e. for 92,145,569 is 1
LCM of denominators i.e. for 619,736,818 is 186333856.
Thus, GCF of Fractions is 1/186333856.Finally, GCF of Fractions for 92/619, 145/736, 569/818 is 1/186333856.