GCF of 5326/853, 7707/7584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5326/853, 7707/7584 i.e 1/6469152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5326/853, 7707/7584.
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 5326/853,7707/7584?
Given fractions are 5326/853,7707/7584
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 5326/853,7707/7584, numerators are 5326,7707
Denominators are 853,7584
The GCF of 5326,7707 is 1 .
LCM of 853,7584 is 6469152.
The greatest common factor of 5326/853,7707/7584 = [GCF of 5326,7707]/[LCM of 853,7584]= 1/6469152
Therefore, the GCF of 5326/853,7707/7584 is 1/6469152.
To find the highest common factor of 5326,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 5326 are 1, 2, 2663, 5326
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 5326,7707 is 1.
Lets's calculate GCF of 5326,7707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5326,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 5326
:1,2,2663,5326
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 5326,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 5326,7707 is 1.
Lets's calculate LCM of 853,7584
Given numbers has no common factors except 1. So, there LCM is their product i.e 6469152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6469152
Therefore, the GCF of Fractions 5326/853,7707/7584 is 1/6469152
Least Common Multiple of 853,7584 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 853,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,7584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,7584) x common factors =1 x 1 = 1
LCM(853,7584) = ( 853 × 7584 ) / 1
LCM(853,7584) = 6469152 / 1
LCM(853,7584) = 6469152
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FAQs on GCF of Fractions of 5326/853, 7707/7584
1. What is the HCF of 5326,7707?
The HCF of 5326,7707 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 5326/853, 7707/7584?
Answer: GCF of Numerators as per given numbers 5326/853, 7707/7584 is
GCF of Numerators i.e. for 5326,7707 is 1
LCM of denominators i.e. for 853,7584 is 6469152.
Thus, GCF of Fractions is 1/6469152.Finally, GCF of Fractions for 5326/853, 7707/7584 is 1/6469152.