GCF of 8383/637, 8953/4528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8383/637, 8953/4528 i.e 1/2884336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8383/637, 8953/4528.
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 8383/637,8953/4528?
Given fractions are 8383/637,8953/4528
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 8383/637,8953/4528, numerators are 8383,8953
Denominators are 637,4528
The GCF of 8383,8953 is 1 .
LCM of 637,4528 is 2884336.
The greatest common factor of 8383/637,8953/4528 = [GCF of 8383,8953]/[LCM of 637,4528]= 1/2884336
Therefore, the GCF of 8383/637,8953/4528 is 1/2884336.
To find the highest common factor of 8383,8953, we have to find the factors of both numbers and list the highest common factor.
The factors of 8383 are 1, 83, 101, 8383
The factors of 8953 are 1, 7, 1279, 8953
The HCF of 8383,8953 is 1.
Lets's calculate GCF of 8383,8953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8383,8953 By Matching Biggest Common Factor Method
Now, list down the factors of 8383
:1,83,101,8383
Now, list down the factors of 8953
:1,7,1279,8953
Greatest Common Factor
We found the factors 8383,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 8383,8953 is 1.
Lets's calculate LCM of 637,4528
Given numbers has no common factors except 1. So, there LCM is their product i.e 2884336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2884336
Therefore, the GCF of Fractions 8383/637,8953/4528 is 1/2884336
Least Common Multiple of 637,4528 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 637,4528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,4528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,4528) x common factors =1 x 1 = 1
LCM(637,4528) = ( 637 × 4528 ) / 1
LCM(637,4528) = 2884336 / 1
LCM(637,4528) = 2884336
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FAQs on GCF of Fractions of 8383/637, 8953/4528
1. What is the HCF of 8383,8953?
The HCF of 8383,8953 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 8383/637, 8953/4528?
Answer: GCF of Numerators as per given numbers 8383/637, 8953/4528 is
GCF of Numerators i.e. for 8383,8953 is 1
LCM of denominators i.e. for 637,4528 is 2884336.
Thus, GCF of Fractions is 1/2884336.Finally, GCF of Fractions for 8383/637, 8953/4528 is 1/2884336.