GCF of 9850/803, 6860/7184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9850/803, 6860/7184 i.e 10/5768752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9850/803, 6860/7184.
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 9850/803,6860/7184?
Given fractions are 9850/803,6860/7184
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 9850/803,6860/7184, numerators are 9850,6860
Denominators are 803,7184
The GCF of 9850,6860 is 10 .
LCM of 803,7184 is 5768752.
The greatest common factor of 9850/803,6860/7184 = [GCF of 9850,6860]/[LCM of 803,7184]= 10/5768752
Therefore, the GCF of 9850/803,6860/7184 is 10/5768752.
To find the highest common factor of 9850,6860, we have to find the factors of both numbers and list the highest common factor.
The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
The factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860
The HCF of 9850,6860 is 10.
Lets's calculate GCF of 9850,6860
| 2 | 9850, 6860 |
| 5 | 4925, 3430 |
| 985, 686 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9850,6860 By Matching Biggest Common Factor Method
Now, list down the factors of 9850
:1,2,5,10,25,50,197,394,985,1970,4925,9850
Now, list down the factors of 6860
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Greatest Common Factor
We found the factors 9850,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,6860 is 10.
Lets's calculate LCM of 803,7184
Given numbers has no common factors except 1. So, there LCM is their product i.e 5768752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5768752
Therefore, the GCF of Fractions 9850/803,6860/7184 is 10/5768752
Least Common Multiple of 803,7184 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 803,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,7184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,7184) x common factors =1 x 1 = 1
LCM(803,7184) = ( 803 × 7184 ) / 1
LCM(803,7184) = 5768752 / 1
LCM(803,7184) = 5768752
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FAQs on GCF of Fractions of 9850/803, 6860/7184
1. What is the HCF of 9850,6860?
The HCF of 9850,6860 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 9850/803, 6860/7184?
Answer: GCF of Numerators as per given numbers 9850/803, 6860/7184 is
GCF of Numerators i.e. for 9850,6860 is 10
LCM of denominators i.e. for 803,7184 is 5768752.
Thus, GCF of Fractions is 10/5768752.Finally, GCF of Fractions for 9850/803, 6860/7184 is 10/5768752.