GCF of 5325/608, 7024/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5325/608, 7024/961 i.e 1/584288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5325/608, 7024/961.
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 5325/608,7024/961?
Given fractions are 5325/608,7024/961
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 5325/608,7024/961, numerators are 5325,7024
Denominators are 608,961
The GCF of 5325,7024 is 1 .
LCM of 608,961 is 584288.
The greatest common factor of 5325/608,7024/961 = [GCF of 5325,7024]/[LCM of 608,961]= 1/584288
Therefore, the GCF of 5325/608,7024/961 is 1/584288.
To find the highest common factor of 5325,7024, we have to find the factors of both numbers and list the highest common factor.
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The HCF of 5325,7024 is 1.
Lets's calculate GCF of 5325,7024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5325,7024 By Matching Biggest Common Factor Method
Now, list down the factors of 5325
:1,3,5,15,25,71,75,213,355,1065,1775,5325
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Greatest Common Factor
We found the factors 5325,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,7024 is 1.
Lets's calculate LCM of 608,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 584288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584288
Therefore, the GCF of Fractions 5325/608,7024/961 is 1/584288
Least Common Multiple of 608,961 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 608,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,961) x common factors =1 x 1 = 1
LCM(608,961) = ( 608 × 961 ) / 1
LCM(608,961) = 584288 / 1
LCM(608,961) = 584288
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FAQs on GCF of Fractions of 5325/608, 7024/961
1. What is the HCF of 5325,7024?
The HCF of 5325,7024 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 5325/608, 7024/961?
Answer: GCF of Numerators as per given numbers 5325/608, 7024/961 is
GCF of Numerators i.e. for 5325,7024 is 1
LCM of denominators i.e. for 608,961 is 584288.
Thus, GCF of Fractions is 1/584288.Finally, GCF of Fractions for 5325/608, 7024/961 is 1/584288.