GCF of 9493/145, 7772/9774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9493/145, 7772/9774 i.e 1/1417230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9493/145, 7772/9774.
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 9493/145,7772/9774?
Given fractions are 9493/145,7772/9774
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 9493/145,7772/9774, numerators are 9493,7772
Denominators are 145,9774
The GCF of 9493,7772 is 1 .
LCM of 145,9774 is 1417230.
The greatest common factor of 9493/145,7772/9774 = [GCF of 9493,7772]/[LCM of 145,9774]= 1/1417230
Therefore, the GCF of 9493/145,7772/9774 is 1/1417230.
To find the highest common factor of 9493,7772, we have to find the factors of both numbers and list the highest common factor.
The factors of 9493 are 1, 11, 863, 9493
The factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772
The HCF of 9493,7772 is 1.
Lets's calculate GCF of 9493,7772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9493,7772 By Matching Biggest Common Factor Method
Now, list down the factors of 9493
:1,11,863,9493
Now, list down the factors of 7772
:1,2,4,29,58,67,116,134,268,1943,3886,7772
Greatest Common Factor
We found the factors 9493,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,7772 is 1.
Lets's calculate LCM of 145,9774
Given numbers has no common factors except 1. So, there LCM is their product i.e 1417230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417230
Therefore, the GCF of Fractions 9493/145,7772/9774 is 1/1417230
Least Common Multiple of 145,9774 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 145,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,9774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,9774) x common factors =1 x 1 = 1
LCM(145,9774) = ( 145 × 9774 ) / 1
LCM(145,9774) = 1417230 / 1
LCM(145,9774) = 1417230
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FAQs on GCF of Fractions of 9493/145, 7772/9774
1. What is the HCF of 9493,7772?
The HCF of 9493,7772 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 9493/145, 7772/9774?
Answer: GCF of Numerators as per given numbers 9493/145, 7772/9774 is
GCF of Numerators i.e. for 9493,7772 is 1
LCM of denominators i.e. for 145,9774 is 1417230.
Thus, GCF of Fractions is 1/1417230.Finally, GCF of Fractions for 9493/145, 7772/9774 is 1/1417230.