GCF of 3559/130, 9114/363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3559/130, 9114/363 i.e 1/47190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3559/130, 9114/363.
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 3559/130,9114/363?
Given fractions are 3559/130,9114/363
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 3559/130,9114/363, numerators are 3559,9114
Denominators are 130,363
The GCF of 3559,9114 is 1 .
LCM of 130,363 is 47190.
The greatest common factor of 3559/130,9114/363 = [GCF of 3559,9114]/[LCM of 130,363]= 1/47190
Therefore, the GCF of 3559/130,9114/363 is 1/47190.
To find the highest common factor of 3559,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3559 are 1, 3559
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 3559,9114 is 1.
Lets's calculate GCF of 3559,9114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3559,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 3559
:1,3559
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 3559,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 3559,9114 is 1.
Lets's calculate LCM of 130,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 47190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47190
Therefore, the GCF of Fractions 3559/130,9114/363 is 1/47190
Least Common Multiple of 130,363 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 130,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,363) x common factors =1 x 1 = 1
LCM(130,363) = ( 130 × 363 ) / 1
LCM(130,363) = 47190 / 1
LCM(130,363) = 47190
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FAQs on GCF of Fractions of 3559/130, 9114/363
1. What is the HCF of 3559,9114?
The HCF of 3559,9114 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 3559/130, 9114/363?
Answer: GCF of Numerators as per given numbers 3559/130, 9114/363 is
GCF of Numerators i.e. for 3559,9114 is 1
LCM of denominators i.e. for 130,363 is 47190.
Thus, GCF of Fractions is 1/47190.Finally, GCF of Fractions for 3559/130, 9114/363 is 1/47190.