GCF of 9097/254, 3780/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9097/254, 3780/289 i.e 1/73406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9097/254, 3780/289.
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 9097/254,3780/289?
Given fractions are 9097/254,3780/289
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 9097/254,3780/289, numerators are 9097,3780
Denominators are 254,289
The GCF of 9097,3780 is 1 .
LCM of 254,289 is 73406.
The greatest common factor of 9097/254,3780/289 = [GCF of 9097,3780]/[LCM of 254,289]= 1/73406
Therefore, the GCF of 9097/254,3780/289 is 1/73406.
To find the highest common factor of 9097,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 9097 are 1, 11, 827, 9097
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 9097,3780 is 1.
Lets's calculate GCF of 9097,3780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9097,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 9097
:1,11,827,9097
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 9097,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 9097,3780 is 1.
Lets's calculate LCM of 254,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 73406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73406
Therefore, the GCF of Fractions 9097/254,3780/289 is 1/73406
Least Common Multiple of 254,289 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 254,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,289) x common factors =1 x 1 = 1
LCM(254,289) = ( 254 × 289 ) / 1
LCM(254,289) = 73406 / 1
LCM(254,289) = 73406
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FAQs on GCF of Fractions of 9097/254, 3780/289
1. What is the HCF of 9097,3780?
The HCF of 9097,3780 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 9097/254, 3780/289?
Answer: GCF of Numerators as per given numbers 9097/254, 3780/289 is
GCF of Numerators i.e. for 9097,3780 is 1
LCM of denominators i.e. for 254,289 is 73406.
Thus, GCF of Fractions is 1/73406.Finally, GCF of Fractions for 9097/254, 3780/289 is 1/73406.