GCF of 4358/997, 4555/8483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4358/997, 4555/8483 i.e 1/8457551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4358/997, 4555/8483.
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 4358/997,4555/8483?
Given fractions are 4358/997,4555/8483
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 4358/997,4555/8483, numerators are 4358,4555
Denominators are 997,8483
The GCF of 4358,4555 is 1 .
LCM of 997,8483 is 8457551.
The greatest common factor of 4358/997,4555/8483 = [GCF of 4358,4555]/[LCM of 997,8483]= 1/8457551
Therefore, the GCF of 4358/997,4555/8483 is 1/8457551.
To find the highest common factor of 4358,4555, we have to find the factors of both numbers and list the highest common factor.
The factors of 4358 are 1, 2, 2179, 4358
The factors of 4555 are 1, 5, 911, 4555
The HCF of 4358,4555 is 1.
Lets's calculate GCF of 4358,4555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4358,4555 By Matching Biggest Common Factor Method
Now, list down the factors of 4358
:1,2,2179,4358
Now, list down the factors of 4555
:1,5,911,4555
Greatest Common Factor
We found the factors 4358,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,4555 is 1.
Lets's calculate LCM of 997,8483
Given numbers has no common factors except 1. So, there LCM is their product i.e 8457551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8457551
Therefore, the GCF of Fractions 4358/997,4555/8483 is 1/8457551
Least Common Multiple of 997,8483 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 997,8483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,8483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,8483) x common factors =1 x 1 = 1
LCM(997,8483) = ( 997 × 8483 ) / 1
LCM(997,8483) = 8457551 / 1
LCM(997,8483) = 8457551
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FAQs on GCF of Fractions of 4358/997, 4555/8483
1. What is the HCF of 4358,4555?
The HCF of 4358,4555 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 4358/997, 4555/8483?
Answer: GCF of Numerators as per given numbers 4358/997, 4555/8483 is
GCF of Numerators i.e. for 4358,4555 is 1
LCM of denominators i.e. for 997,8483 is 8457551.
Thus, GCF of Fractions is 1/8457551.Finally, GCF of Fractions for 4358/997, 4555/8483 is 1/8457551.