GCF of 9548/776, 7401/853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9548/776, 7401/853 i.e 1/661928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9548/776, 7401/853.
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 9548/776,7401/853?
Given fractions are 9548/776,7401/853
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 9548/776,7401/853, numerators are 9548,7401
Denominators are 776,853
The GCF of 9548,7401 is 1 .
LCM of 776,853 is 661928.
The greatest common factor of 9548/776,7401/853 = [GCF of 9548,7401]/[LCM of 776,853]= 1/661928
Therefore, the GCF of 9548/776,7401/853 is 1/661928.
To find the highest common factor of 9548,7401, we have to find the factors of both numbers and list the highest common factor.
The factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The factors of 7401 are 1, 3, 2467, 7401
The HCF of 9548,7401 is 1.
Lets's calculate GCF of 9548,7401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9548,7401 By Matching Biggest Common Factor Method
Now, list down the factors of 9548
:1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Now, list down the factors of 7401
:1,3,2467,7401
Greatest Common Factor
We found the factors 9548,7401 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,7401 is 1.
Lets's calculate LCM of 776,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 661928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661928
Therefore, the GCF of Fractions 9548/776,7401/853 is 1/661928
Least Common Multiple of 776,853 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 776,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,853) x common factors =1 x 1 = 1
LCM(776,853) = ( 776 × 853 ) / 1
LCM(776,853) = 661928 / 1
LCM(776,853) = 661928
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FAQs on GCF of Fractions of 9548/776, 7401/853
1. What is the HCF of 9548,7401?
The HCF of 9548,7401 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 9548/776, 7401/853?
Answer: GCF of Numerators as per given numbers 9548/776, 7401/853 is
GCF of Numerators i.e. for 9548,7401 is 1
LCM of denominators i.e. for 776,853 is 661928.
Thus, GCF of Fractions is 1/661928.Finally, GCF of Fractions for 9548/776, 7401/853 is 1/661928.