GCF of 5630/803, 3670/3198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5630/803, 3670/3198 i.e 10/2567994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5630/803, 3670/3198.
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 5630/803,3670/3198?
Given fractions are 5630/803,3670/3198
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 5630/803,3670/3198, numerators are 5630,3670
Denominators are 803,3198
The GCF of 5630,3670 is 10 .
LCM of 803,3198 is 2567994.
The greatest common factor of 5630/803,3670/3198 = [GCF of 5630,3670]/[LCM of 803,3198]= 10/2567994
Therefore, the GCF of 5630/803,3670/3198 is 10/2567994.
To find the highest common factor of 5630,3670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5630 are 1, 2, 5, 10, 563, 1126, 2815, 5630
The factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670
The HCF of 5630,3670 is 10.
Lets's calculate GCF of 5630,3670
| 2 | 5630, 3670 |
| 5 | 2815, 1835 |
| 563, 367 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5630,3670 By Matching Biggest Common Factor Method
Now, list down the factors of 5630
:1,2,5,10,563,1126,2815,5630
Now, list down the factors of 3670
:1,2,5,10,367,734,1835,3670
Greatest Common Factor
We found the factors 5630,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 5630,3670 is 10.
Lets's calculate LCM of 803,3198
Given numbers has no common factors except 1. So, there LCM is their product i.e 2567994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2567994
Therefore, the GCF of Fractions 5630/803,3670/3198 is 10/2567994
Least Common Multiple of 803,3198 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 803,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,3198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,3198) x common factors =1 x 1 = 1
LCM(803,3198) = ( 803 × 3198 ) / 1
LCM(803,3198) = 2567994 / 1
LCM(803,3198) = 2567994
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FAQs on GCF of Fractions of 5630/803, 3670/3198
1. What is the HCF of 5630,3670?
The HCF of 5630,3670 is 10
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 5630/803, 3670/3198?
Answer: GCF of Numerators as per given numbers 5630/803, 3670/3198 is
GCF of Numerators i.e. for 5630,3670 is 10
LCM of denominators i.e. for 803,3198 is 2567994.
Thus, GCF of Fractions is 10/2567994.Finally, GCF of Fractions for 5630/803, 3670/3198 is 10/2567994.