GCF of 9819/61, 1120/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9819/61, 1120/978 i.e 1/59658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9819/61, 1120/978.
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 9819/61,1120/978?
Given fractions are 9819/61,1120/978
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 9819/61,1120/978, numerators are 9819,1120
Denominators are 61,978
The GCF of 9819,1120 is 1 .
LCM of 61,978 is 59658.
The greatest common factor of 9819/61,1120/978 = [GCF of 9819,1120]/[LCM of 61,978]= 1/59658
Therefore, the GCF of 9819/61,1120/978 is 1/59658.
To find the highest common factor of 9819,1120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9819 are 1, 3, 9, 1091, 3273, 9819
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
The HCF of 9819,1120 is 1.
Lets's calculate GCF of 9819,1120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9819,1120 By Matching Biggest Common Factor Method
Now, list down the factors of 9819
:1,3,9,1091,3273,9819
Now, list down the factors of 1120
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Greatest Common Factor
We found the factors 9819,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 9819,1120 is 1.
Lets's calculate LCM of 61,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 59658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59658
Therefore, the GCF of Fractions 9819/61,1120/978 is 1/59658
Least Common Multiple of 61,978 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 61,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,978) x common factors =1 x 1 = 1
LCM(61,978) = ( 61 × 978 ) / 1
LCM(61,978) = 59658 / 1
LCM(61,978) = 59658
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FAQs on GCF of Fractions of 9819/61, 1120/978
1. What is the HCF of 9819,1120?
The HCF of 9819,1120 is 1
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 9819/61, 1120/978?
Answer: GCF of Numerators as per given numbers 9819/61, 1120/978 is
GCF of Numerators i.e. for 9819,1120 is 1
LCM of denominators i.e. for 61,978 is 59658.
Thus, GCF of Fractions is 1/59658.Finally, GCF of Fractions for 9819/61, 1120/978 is 1/59658.