GCF of 22/91, 16/70, 569/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/91, 16/70, 569/889 i.e 1/115570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/91, 16/70, 569/889.
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 22/91,16/70,569/889?
Given fractions are 22/91,16/70,569/889
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 22/91,16/70,569/889, numerators are 22,16,569
Denominators are 91,70,889
The GCF of 22,16,569 is 1 .
LCM of 91,70,889 is 115570.
The greatest common factor of 22/91,16/70,569/889 = [GCF of 22,16,569]/[LCM of 91,70,889]= 1/115570
Therefore, the GCF of 22/91,16/70,569/889 is 1/115570.
To find the highest common factor of 22,16,569, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 16 are 1, 2, 4, 8, 16
The factors of 569 are 1, 569
The HCF of 22,16,569 is 1.
Lets's calculate GCF of 22,16,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 22,16,569 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 569
:1,569
Greatest Common Factor
We found the factors 22,16,569 . The biggest common factor number is the GCF number.
So the greatest common factor 22,16,569 is 1.
Lets's calculate LCM of 91,70,889
| 7 | 91, 70, 889 |
| 13, 10, 127 |
∴ So the LCM of the given numbers is 7 x 13 x 10 x 127 = 115570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115570
Therefore, the GCF of Fractions 22/91,16/70,569/889 is 1/115570
Least Common Multiple of 91,70,889 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 91,70,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,70,889) = 7
common factors(in case of two or more numbers have common factors) = 7
GCF(91,70,889) x common factors =7 x 7 = 49
LCM(91,70,889) = ( 91 × 70 × 889 ) / 49
LCM(91,70,889) = 5662930 / 49
LCM(91,70,889) = 115570
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FAQs on GCF of Fractions of 22/91, 16/70, 569/889
1. What is the HCF of 22,16,569?
The HCF of 22,16,569 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 22/91, 16/70, 569/889?
Answer: GCF of Numerators as per given numbers 22/91, 16/70, 569/889 is
GCF of Numerators i.e. for 22,16,569 is 1
LCM of denominators i.e. for 91,70,889 is 115570.
Thus, GCF of Fractions is 1/115570.Finally, GCF of Fractions for 22/91, 16/70, 569/889 is 1/115570.