GCF of 9685/782, 2873/6433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9685/782, 2873/6433 i.e 13/5030606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9685/782, 2873/6433.
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 9685/782,2873/6433?
Given fractions are 9685/782,2873/6433
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 9685/782,2873/6433, numerators are 9685,2873
Denominators are 782,6433
The GCF of 9685,2873 is 13 .
LCM of 782,6433 is 5030606.
The greatest common factor of 9685/782,2873/6433 = [GCF of 9685,2873]/[LCM of 782,6433]= 13/5030606
Therefore, the GCF of 9685/782,2873/6433 is 13/5030606.
To find the highest common factor of 9685,2873, we have to find the factors of both numbers and list the highest common factor.
The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685
The factors of 2873 are 1, 13, 17, 169, 221, 2873
The HCF of 9685,2873 is 13.
Lets's calculate GCF of 9685,2873
| 13 | 9685, 2873 |
| 745, 221 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9685,2873 By Matching Biggest Common Factor Method
Now, list down the factors of 9685
:1,5,13,65,149,745,1937,9685
Now, list down the factors of 2873
:1,13,17,169,221,2873
Greatest Common Factor
We found the factors 9685,2873 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,2873 is 13.
Lets's calculate LCM of 782,6433
Given numbers has no common factors except 1. So, there LCM is their product i.e 5030606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5030606
Therefore, the GCF of Fractions 9685/782,2873/6433 is 13/5030606
Least Common Multiple of 782,6433 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 782,6433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,6433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,6433) x common factors =1 x 1 = 1
LCM(782,6433) = ( 782 × 6433 ) / 1
LCM(782,6433) = 5030606 / 1
LCM(782,6433) = 5030606
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FAQs on GCF of Fractions of 9685/782, 2873/6433
1. What is the HCF of 9685,2873?
The HCF of 9685,2873 is 13
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 9685/782, 2873/6433?
Answer: GCF of Numerators as per given numbers 9685/782, 2873/6433 is
GCF of Numerators i.e. for 9685,2873 is 13
LCM of denominators i.e. for 782,6433 is 5030606.
Thus, GCF of Fractions is 13/5030606.Finally, GCF of Fractions for 9685/782, 2873/6433 is 13/5030606.