GCF of 4699/235, 3322/8969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4699/235, 3322/8969 i.e 1/2107715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4699/235, 3322/8969.
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 4699/235,3322/8969?
Given fractions are 4699/235,3322/8969
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 4699/235,3322/8969, numerators are 4699,3322
Denominators are 235,8969
The GCF of 4699,3322 is 1 .
LCM of 235,8969 is 2107715.
The greatest common factor of 4699/235,3322/8969 = [GCF of 4699,3322]/[LCM of 235,8969]= 1/2107715
Therefore, the GCF of 4699/235,3322/8969 is 1/2107715.
To find the highest common factor of 4699,3322, we have to find the factors of both numbers and list the highest common factor.
The factors of 4699 are 1, 37, 127, 4699
The factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322
The HCF of 4699,3322 is 1.
Lets's calculate GCF of 4699,3322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4699,3322 By Matching Biggest Common Factor Method
Now, list down the factors of 4699
:1,37,127,4699
Now, list down the factors of 3322
:1,2,11,22,151,302,1661,3322
Greatest Common Factor
We found the factors 4699,3322 . The biggest common factor number is the GCF number.
So the greatest common factor 4699,3322 is 1.
Lets's calculate LCM of 235,8969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2107715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2107715
Therefore, the GCF of Fractions 4699/235,3322/8969 is 1/2107715
Least Common Multiple of 235,8969 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 235,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,8969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,8969) x common factors =1 x 1 = 1
LCM(235,8969) = ( 235 × 8969 ) / 1
LCM(235,8969) = 2107715 / 1
LCM(235,8969) = 2107715
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FAQs on GCF of Fractions of 4699/235, 3322/8969
1. What is the HCF of 4699,3322?
The HCF of 4699,3322 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 4699/235, 3322/8969?
Answer: GCF of Numerators as per given numbers 4699/235, 3322/8969 is
GCF of Numerators i.e. for 4699,3322 is 1
LCM of denominators i.e. for 235,8969 is 2107715.
Thus, GCF of Fractions is 1/2107715.Finally, GCF of Fractions for 4699/235, 3322/8969 is 1/2107715.