GCF of 5205/528, 6968/1601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5205/528, 6968/1601 i.e 1/845328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5205/528, 6968/1601.
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 5205/528,6968/1601?
Given fractions are 5205/528,6968/1601
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 5205/528,6968/1601, numerators are 5205,6968
Denominators are 528,1601
The GCF of 5205,6968 is 1 .
LCM of 528,1601 is 845328.
The greatest common factor of 5205/528,6968/1601 = [GCF of 5205,6968]/[LCM of 528,1601]= 1/845328
Therefore, the GCF of 5205/528,6968/1601 is 1/845328.
To find the highest common factor of 5205,6968, we have to find the factors of both numbers and list the highest common factor.
The factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The HCF of 5205,6968 is 1.
Lets's calculate GCF of 5205,6968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5205,6968 By Matching Biggest Common Factor Method
Now, list down the factors of 5205
:1,3,5,15,347,1041,1735,5205
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Greatest Common Factor
We found the factors 5205,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 5205,6968 is 1.
Lets's calculate LCM of 528,1601
Given numbers has no common factors except 1. So, there LCM is their product i.e 845328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845328
Therefore, the GCF of Fractions 5205/528,6968/1601 is 1/845328
Least Common Multiple of 528,1601 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 528,1601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,1601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(528,1601) x common factors =1 x 1 = 1
LCM(528,1601) = ( 528 × 1601 ) / 1
LCM(528,1601) = 845328 / 1
LCM(528,1601) = 845328
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FAQs on GCF of Fractions of 5205/528, 6968/1601
1. What is the HCF of 5205,6968?
The HCF of 5205,6968 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 5205/528, 6968/1601?
Answer: GCF of Numerators as per given numbers 5205/528, 6968/1601 is
GCF of Numerators i.e. for 5205,6968 is 1
LCM of denominators i.e. for 528,1601 is 845328.
Thus, GCF of Fractions is 1/845328.Finally, GCF of Fractions for 5205/528, 6968/1601 is 1/845328.