GCF of 4198/737, 5674/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4198/737, 5674/687 i.e 2/506319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/737, 5674/687.
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 4198/737,5674/687?
Given fractions are 4198/737,5674/687
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 4198/737,5674/687, numerators are 4198,5674
Denominators are 737,687
The GCF of 4198,5674 is 2 .
LCM of 737,687 is 506319.
The greatest common factor of 4198/737,5674/687 = [GCF of 4198,5674]/[LCM of 737,687]= 2/506319
Therefore, the GCF of 4198/737,5674/687 is 2/506319.
To find the highest common factor of 4198,5674, we have to find the factors of both numbers and list the highest common factor.
The factors of 4198 are 1, 2, 2099, 4198
The factors of 5674 are 1, 2, 2837, 5674
The HCF of 4198,5674 is 2.
Lets's calculate GCF of 4198,5674
| 2 | 4198, 5674 |
| 2099, 2837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4198,5674 By Matching Biggest Common Factor Method
Now, list down the factors of 4198
:1,2,2099,4198
Now, list down the factors of 5674
:1,2,2837,5674
Greatest Common Factor
We found the factors 4198,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,5674 is 2.
Lets's calculate LCM of 737,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 506319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/506319
Therefore, the GCF of Fractions 4198/737,5674/687 is 2/506319
Least Common Multiple of 737,687 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 737,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,687) x common factors =1 x 1 = 1
LCM(737,687) = ( 737 × 687 ) / 1
LCM(737,687) = 506319 / 1
LCM(737,687) = 506319
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FAQs on GCF of Fractions of 4198/737, 5674/687
1. What is the HCF of 4198,5674?
The HCF of 4198,5674 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 4198/737, 5674/687?
Answer: GCF of Numerators as per given numbers 4198/737, 5674/687 is
GCF of Numerators i.e. for 4198,5674 is 2
LCM of denominators i.e. for 737,687 is 506319.
Thus, GCF of Fractions is 2/506319.Finally, GCF of Fractions for 4198/737, 5674/687 is 2/506319.