GCF of 585/989, 196/946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 585/989, 196/946 i.e 1/21758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/989, 196/946.
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 585/989,196/946?
Given fractions are 585/989,196/946
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 585/989,196/946, numerators are 585,196
Denominators are 989,946
The GCF of 585,196 is 1 .
LCM of 989,946 is 21758.
The greatest common factor of 585/989,196/946 = [GCF of 585,196]/[LCM of 989,946]= 1/21758
Therefore, the GCF of 585/989,196/946 is 1/21758.
To find the highest common factor of 585,196, we have to find the factors of both numbers and list the highest common factor.
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The HCF of 585,196 is 1.
Lets's calculate GCF of 585,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 585,196 By Matching Biggest Common Factor Method
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 585,196 . The biggest common factor number is the GCF number.
So the greatest common factor 585,196 is 1.
Lets's calculate LCM of 989,946
| 43 | 989, 946 |
| 23, 22 |
∴ So the LCM of the given numbers is 43 x 23 x 22 = 21758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21758
Therefore, the GCF of Fractions 585/989,196/946 is 1/21758
Least Common Multiple of 989,946 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 989,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,946) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(989,946) x common factors =43 x 1 = 43
LCM(989,946) = ( 989 × 946 ) / 43
LCM(989,946) = 935594 / 43
LCM(989,946) = 21758
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FAQs on GCF of Fractions of 585/989, 196/946
1. What is the HCF of 585,196?
The HCF of 585,196 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 585/989, 196/946?
Answer: GCF of Numerators as per given numbers 585/989, 196/946 is
GCF of Numerators i.e. for 585,196 is 1
LCM of denominators i.e. for 989,946 is 21758.
Thus, GCF of Fractions is 1/21758.Finally, GCF of Fractions for 585/989, 196/946 is 1/21758.