GCF of 61/65, 308/79, 816/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/65, 308/79, 816/824 i.e 1/4231240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/65, 308/79, 816/824.
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 61/65,308/79,816/824?
Given fractions are 61/65,308/79,816/824
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 61/65,308/79,816/824, numerators are 61,308,816
Denominators are 65,79,824
The GCF of 61,308,816 is 1 .
LCM of 65,79,824 is 4231240.
The greatest common factor of 61/65,308/79,816/824 = [GCF of 61,308,816]/[LCM of 65,79,824]= 1/4231240
Therefore, the GCF of 61/65,308/79,816/824 is 1/4231240.
To find the highest common factor of 61,308,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The HCF of 61,308,816 is 1.
Lets's calculate GCF of 61,308,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,308,816 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 61,308,816 . The biggest common factor number is the GCF number.
So the greatest common factor 61,308,816 is 1.
Lets's calculate LCM of 65,79,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 4231240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4231240
Therefore, the GCF of Fractions 61/65,308/79,816/824 is 1/4231240
Least Common Multiple of 65,79,824 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 65,79,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,79,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,79,824) x common factors =1 x 1 = 1
LCM(65,79,824) = ( 65 × 79 × 824 ) / 1
LCM(65,79,824) = 4231240 / 1
LCM(65,79,824) = 4231240
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FAQs on GCF of Fractions of 61/65, 308/79, 816/824
1. What is the HCF of 61,308,816?
The HCF of 61,308,816 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 61/65, 308/79, 816/824?
Answer: GCF of Numerators as per given numbers 61/65, 308/79, 816/824 is
GCF of Numerators i.e. for 61,308,816 is 1
LCM of denominators i.e. for 65,79,824 is 4231240.
Thus, GCF of Fractions is 1/4231240.Finally, GCF of Fractions for 61/65, 308/79, 816/824 is 1/4231240.