GCF of 5467/926, 8220/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5467/926, 8220/339 i.e 1/313914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5467/926, 8220/339.
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 5467/926,8220/339?
Given fractions are 5467/926,8220/339
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 5467/926,8220/339, numerators are 5467,8220
Denominators are 926,339
The GCF of 5467,8220 is 1 .
LCM of 926,339 is 313914.
The greatest common factor of 5467/926,8220/339 = [GCF of 5467,8220]/[LCM of 926,339]= 1/313914
Therefore, the GCF of 5467/926,8220/339 is 1/313914.
To find the highest common factor of 5467,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 5467,8220 is 1.
Lets's calculate GCF of 5467,8220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5467,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 5467
:1,7,11,71,77,497,781,5467
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 5467,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,8220 is 1.
Lets's calculate LCM of 926,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 313914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313914
Therefore, the GCF of Fractions 5467/926,8220/339 is 1/313914
Least Common Multiple of 926,339 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 926,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,339) x common factors =1 x 1 = 1
LCM(926,339) = ( 926 × 339 ) / 1
LCM(926,339) = 313914 / 1
LCM(926,339) = 313914
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FAQs on GCF of Fractions of 5467/926, 8220/339
1. What is the HCF of 5467,8220?
The HCF of 5467,8220 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 5467/926, 8220/339?
Answer: GCF of Numerators as per given numbers 5467/926, 8220/339 is
GCF of Numerators i.e. for 5467,8220 is 1
LCM of denominators i.e. for 926,339 is 313914.
Thus, GCF of Fractions is 1/313914.Finally, GCF of Fractions for 5467/926, 8220/339 is 1/313914.