GCF of 5381/917, 4465/5601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5381/917, 4465/5601 i.e 1/5136117 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/917, 4465/5601.
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 5381/917,4465/5601?
Given fractions are 5381/917,4465/5601
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 5381/917,4465/5601, numerators are 5381,4465
Denominators are 917,5601
The GCF of 5381,4465 is 1 .
LCM of 917,5601 is 5136117.
The greatest common factor of 5381/917,4465/5601 = [GCF of 5381,4465]/[LCM of 917,5601]= 1/5136117
Therefore, the GCF of 5381/917,4465/5601 is 1/5136117.
To find the highest common factor of 5381,4465, we have to find the factors of both numbers and list the highest common factor.
The factors of 5381 are 1, 5381
The factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465
The HCF of 5381,4465 is 1.
Lets's calculate GCF of 5381,4465
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5381,4465 By Matching Biggest Common Factor Method
Now, list down the factors of 5381
:1,5381
Now, list down the factors of 4465
:1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 5381,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,4465 is 1.
Lets's calculate LCM of 917,5601
Given numbers has no common factors except 1. So, there LCM is their product i.e 5136117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5136117
Therefore, the GCF of Fractions 5381/917,4465/5601 is 1/5136117
Least Common Multiple of 917,5601 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 917,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,5601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,5601) x common factors =1 x 1 = 1
LCM(917,5601) = ( 917 × 5601 ) / 1
LCM(917,5601) = 5136117 / 1
LCM(917,5601) = 5136117
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FAQs on GCF of Fractions of 5381/917, 4465/5601
1. What is the HCF of 5381,4465?
The HCF of 5381,4465 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 5381/917, 4465/5601?
Answer: GCF of Numerators as per given numbers 5381/917, 4465/5601 is
GCF of Numerators i.e. for 5381,4465 is 1
LCM of denominators i.e. for 917,5601 is 5136117.
Thus, GCF of Fractions is 1/5136117.Finally, GCF of Fractions for 5381/917, 4465/5601 is 1/5136117.