GCF of 5224/776, 4595/5741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5224/776, 4595/5741 i.e 1/4455016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5224/776, 4595/5741.
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 5224/776,4595/5741?
Given fractions are 5224/776,4595/5741
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 5224/776,4595/5741, numerators are 5224,4595
Denominators are 776,5741
The GCF of 5224,4595 is 1 .
LCM of 776,5741 is 4455016.
The greatest common factor of 5224/776,4595/5741 = [GCF of 5224,4595]/[LCM of 776,5741]= 1/4455016
Therefore, the GCF of 5224/776,4595/5741 is 1/4455016.
To find the highest common factor of 5224,4595, we have to find the factors of both numbers and list the highest common factor.
The factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224
The factors of 4595 are 1, 5, 919, 4595
The HCF of 5224,4595 is 1.
Lets's calculate GCF of 5224,4595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5224,4595 By Matching Biggest Common Factor Method
Now, list down the factors of 5224
:1,2,4,8,653,1306,2612,5224
Now, list down the factors of 4595
:1,5,919,4595
Greatest Common Factor
We found the factors 5224,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 5224,4595 is 1.
Lets's calculate LCM of 776,5741
Given numbers has no common factors except 1. So, there LCM is their product i.e 4455016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4455016
Therefore, the GCF of Fractions 5224/776,4595/5741 is 1/4455016
Least Common Multiple of 776,5741 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 776,5741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,5741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,5741) x common factors =1 x 1 = 1
LCM(776,5741) = ( 776 × 5741 ) / 1
LCM(776,5741) = 4455016 / 1
LCM(776,5741) = 4455016
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FAQs on GCF of Fractions of 5224/776, 4595/5741
1. What is the HCF of 5224,4595?
The HCF of 5224,4595 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 5224/776, 4595/5741?
Answer: GCF of Numerators as per given numbers 5224/776, 4595/5741 is
GCF of Numerators i.e. for 5224,4595 is 1
LCM of denominators i.e. for 776,5741 is 4455016.
Thus, GCF of Fractions is 1/4455016.Finally, GCF of Fractions for 5224/776, 4595/5741 is 1/4455016.