GCF of 1796/485, 9674/5231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1796/485, 9674/5231 i.e 2/2537035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1796/485, 9674/5231.
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 1796/485,9674/5231?
Given fractions are 1796/485,9674/5231
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 1796/485,9674/5231, numerators are 1796,9674
Denominators are 485,5231
The GCF of 1796,9674 is 2 .
LCM of 485,5231 is 2537035.
The greatest common factor of 1796/485,9674/5231 = [GCF of 1796,9674]/[LCM of 485,5231]= 2/2537035
Therefore, the GCF of 1796/485,9674/5231 is 2/2537035.
To find the highest common factor of 1796,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 1796,9674 is 2.
Lets's calculate GCF of 1796,9674
| 2 | 1796, 9674 |
| 898, 4837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1796,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 1796
:1,2,4,449,898,1796
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 1796,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 1796,9674 is 2.
Lets's calculate LCM of 485,5231
Given numbers has no common factors except 1. So, there LCM is their product i.e 2537035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2537035
Therefore, the GCF of Fractions 1796/485,9674/5231 is 2/2537035
Least Common Multiple of 485,5231 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 485,5231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,5231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,5231) x common factors =1 x 1 = 1
LCM(485,5231) = ( 485 × 5231 ) / 1
LCM(485,5231) = 2537035 / 1
LCM(485,5231) = 2537035
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FAQs on GCF of Fractions of 1796/485, 9674/5231
1. What is the HCF of 1796,9674?
The HCF of 1796,9674 is 2
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 1796/485, 9674/5231?
Answer: GCF of Numerators as per given numbers 1796/485, 9674/5231 is
GCF of Numerators i.e. for 1796,9674 is 2
LCM of denominators i.e. for 485,5231 is 2537035.
Thus, GCF of Fractions is 2/2537035.Finally, GCF of Fractions for 1796/485, 9674/5231 is 2/2537035.