GCF of 943/994, 779/797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 943/994, 779/797 i.e 41/792218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/994, 779/797.
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 943/994,779/797?
Given fractions are 943/994,779/797
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 943/994,779/797, numerators are 943,779
Denominators are 994,797
The GCF of 943,779 is 41 .
LCM of 994,797 is 792218.
The greatest common factor of 943/994,779/797 = [GCF of 943,779]/[LCM of 994,797]= 41/792218
Therefore, the GCF of 943/994,779/797 is 41/792218.
To find the highest common factor of 943,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 779 are 1, 19, 41, 779
The HCF of 943,779 is 41.
Lets's calculate GCF of 943,779
| 41 | 943, 779 |
| 23, 19 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 943,779 By Matching Biggest Common Factor Method
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 943,779 . The biggest common factor number is the GCF number.
So the greatest common factor 943,779 is 41.
Lets's calculate LCM of 994,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 792218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/792218
Therefore, the GCF of Fractions 943/994,779/797 is 41/792218
Least Common Multiple of 994,797 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 994,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,797) x common factors =1 x 1 = 1
LCM(994,797) = ( 994 × 797 ) / 1
LCM(994,797) = 792218 / 1
LCM(994,797) = 792218
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FAQs on GCF of Fractions of 943/994, 779/797
1. What is the HCF of 943,779?
The HCF of 943,779 is 41
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 943/994, 779/797?
Answer: GCF of Numerators as per given numbers 943/994, 779/797 is
GCF of Numerators i.e. for 943,779 is 41
LCM of denominators i.e. for 994,797 is 792218.
Thus, GCF of Fractions is 41/792218.Finally, GCF of Fractions for 943/994, 779/797 is 41/792218.