GCF of 4289/424, 3712/2645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4289/424, 3712/2645 i.e 1/1121480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4289/424, 3712/2645.
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 4289/424,3712/2645?
Given fractions are 4289/424,3712/2645
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 4289/424,3712/2645, numerators are 4289,3712
Denominators are 424,2645
The GCF of 4289,3712 is 1 .
LCM of 424,2645 is 1121480.
The greatest common factor of 4289/424,3712/2645 = [GCF of 4289,3712]/[LCM of 424,2645]= 1/1121480
Therefore, the GCF of 4289/424,3712/2645 is 1/1121480.
To find the highest common factor of 4289,3712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4289 are 1, 4289
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The HCF of 4289,3712 is 1.
Lets's calculate GCF of 4289,3712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4289,3712 By Matching Biggest Common Factor Method
Now, list down the factors of 4289
:1,4289
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors 4289,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 4289,3712 is 1.
Lets's calculate LCM of 424,2645
Given numbers has no common factors except 1. So, there LCM is their product i.e 1121480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1121480
Therefore, the GCF of Fractions 4289/424,3712/2645 is 1/1121480
Least Common Multiple of 424,2645 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 424,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,2645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,2645) x common factors =1 x 1 = 1
LCM(424,2645) = ( 424 × 2645 ) / 1
LCM(424,2645) = 1121480 / 1
LCM(424,2645) = 1121480
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FAQs on GCF of Fractions of 4289/424, 3712/2645
1. What is the HCF of 4289,3712?
The HCF of 4289,3712 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 4289/424, 3712/2645?
Answer: GCF of Numerators as per given numbers 4289/424, 3712/2645 is
GCF of Numerators i.e. for 4289,3712 is 1
LCM of denominators i.e. for 424,2645 is 1121480.
Thus, GCF of Fractions is 1/1121480.Finally, GCF of Fractions for 4289/424, 3712/2645 is 1/1121480.