GCF of 1064/220, 9421/1785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1064/220, 9421/1785 i.e 1/78540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1064/220, 9421/1785.
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 1064/220,9421/1785?
Given fractions are 1064/220,9421/1785
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 1064/220,9421/1785, numerators are 1064,9421
Denominators are 220,1785
The GCF of 1064,9421 is 1 .
LCM of 220,1785 is 78540.
The greatest common factor of 1064/220,9421/1785 = [GCF of 1064,9421]/[LCM of 220,1785]= 1/78540
Therefore, the GCF of 1064/220,9421/1785 is 1/78540.
To find the highest common factor of 1064,9421, we have to find the factors of both numbers and list the highest common factor.
The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064
The factors of 9421 are 1, 9421
The HCF of 1064,9421 is 1.
Lets's calculate GCF of 1064,9421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1064,9421 By Matching Biggest Common Factor Method
Now, list down the factors of 1064
:1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064
Now, list down the factors of 9421
:1,9421
Greatest Common Factor
We found the factors 1064,9421 . The biggest common factor number is the GCF number.
So the greatest common factor 1064,9421 is 1.
Lets's calculate LCM of 220,1785
| 5 | 220, 1785 |
| 44, 357 |
∴ So the LCM of the given numbers is 5 x 44 x 357 = 78540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78540
Therefore, the GCF of Fractions 1064/220,9421/1785 is 1/78540
Least Common Multiple of 220,1785 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 220,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,1785) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,1785) x common factors =5 x 1 = 5
LCM(220,1785) = ( 220 × 1785 ) / 5
LCM(220,1785) = 392700 / 5
LCM(220,1785) = 78540
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FAQs on GCF of Fractions of 1064/220, 9421/1785
1. What is the HCF of 1064,9421?
The HCF of 1064,9421 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 1064/220, 9421/1785?
Answer: GCF of Numerators as per given numbers 1064/220, 9421/1785 is
GCF of Numerators i.e. for 1064,9421 is 1
LCM of denominators i.e. for 220,1785 is 78540.
Thus, GCF of Fractions is 1/78540.Finally, GCF of Fractions for 1064/220, 9421/1785 is 1/78540.