GCF of 796/994, 645/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/994, 645/595 i.e 1/84490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/994, 645/595.
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 796/994,645/595?
Given fractions are 796/994,645/595
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 796/994,645/595, numerators are 796,645
Denominators are 994,595
The GCF of 796,645 is 1 .
LCM of 994,595 is 84490.
The greatest common factor of 796/994,645/595 = [GCF of 796,645]/[LCM of 994,595]= 1/84490
Therefore, the GCF of 796/994,645/595 is 1/84490.
To find the highest common factor of 796,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 796,645 is 1.
Lets's calculate GCF of 796,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 796,645 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 796,645 . The biggest common factor number is the GCF number.
So the greatest common factor 796,645 is 1.
Lets's calculate LCM of 994,595
| 7 | 994, 595 |
| 142, 85 |
∴ So the LCM of the given numbers is 7 x 142 x 85 = 84490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84490
Therefore, the GCF of Fractions 796/994,645/595 is 1/84490
Least Common Multiple of 994,595 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 994,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,595) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(994,595) x common factors =7 x 1 = 7
LCM(994,595) = ( 994 × 595 ) / 7
LCM(994,595) = 591430 / 7
LCM(994,595) = 84490
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FAQs on GCF of Fractions of 796/994, 645/595
1. What is the HCF of 796,645?
The HCF of 796,645 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 796/994, 645/595?
Answer: GCF of Numerators as per given numbers 796/994, 645/595 is
GCF of Numerators i.e. for 796,645 is 1
LCM of denominators i.e. for 994,595 is 84490.
Thus, GCF of Fractions is 1/84490.Finally, GCF of Fractions for 796/994, 645/595 is 1/84490.