GCF of 3290/103, 9411/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3290/103, 9411/851 i.e 1/87653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3290/103, 9411/851.
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 3290/103,9411/851?
Given fractions are 3290/103,9411/851
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 3290/103,9411/851, numerators are 3290,9411
Denominators are 103,851
The GCF of 3290,9411 is 1 .
LCM of 103,851 is 87653.
The greatest common factor of 3290/103,9411/851 = [GCF of 3290,9411]/[LCM of 103,851]= 1/87653
Therefore, the GCF of 3290/103,9411/851 is 1/87653.
To find the highest common factor of 3290,9411, we have to find the factors of both numbers and list the highest common factor.
The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
The factors of 9411 are 1, 3, 3137, 9411
The HCF of 3290,9411 is 1.
Lets's calculate GCF of 3290,9411
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3290,9411 By Matching Biggest Common Factor Method
Now, list down the factors of 3290
:1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290
Now, list down the factors of 9411
:1,3,3137,9411
Greatest Common Factor
We found the factors 3290,9411 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,9411 is 1.
Lets's calculate LCM of 103,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 87653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87653
Therefore, the GCF of Fractions 3290/103,9411/851 is 1/87653
Least Common Multiple of 103,851 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 103,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,851) x common factors =1 x 1 = 1
LCM(103,851) = ( 103 × 851 ) / 1
LCM(103,851) = 87653 / 1
LCM(103,851) = 87653
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FAQs on GCF of Fractions of 3290/103, 9411/851
1. What is the HCF of 3290,9411?
The HCF of 3290,9411 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 3290/103, 9411/851?
Answer: GCF of Numerators as per given numbers 3290/103, 9411/851 is
GCF of Numerators i.e. for 3290,9411 is 1
LCM of denominators i.e. for 103,851 is 87653.
Thus, GCF of Fractions is 1/87653.Finally, GCF of Fractions for 3290/103, 9411/851 is 1/87653.