GCF of 61/776, 68/728, 953/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/776, 68/728, 953/455 i.e 1/353080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/776, 68/728, 953/455.
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 61/776,68/728,953/455?
Given fractions are 61/776,68/728,953/455
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 61/776,68/728,953/455, numerators are 61,68,953
Denominators are 776,728,455
The GCF of 61,68,953 is 1 .
LCM of 776,728,455 is 353080.
The greatest common factor of 61/776,68/728,953/455 = [GCF of 61,68,953]/[LCM of 776,728,455]= 1/353080
Therefore, the GCF of 61/776,68/728,953/455 is 1/353080.
To find the highest common factor of 61,68,953, 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 68 are 1, 2, 4, 17, 34, 68
The factors of 953 are 1, 953
The HCF of 61,68,953 is 1.
Lets's calculate GCF of 61,68,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,68,953 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 61,68,953 . The biggest common factor number is the GCF number.
So the greatest common factor 61,68,953 is 1.
Lets's calculate LCM of 776,728,455
| 2 | 776, 728, 455 |
| 2 | 388, 364, 455 |
| 2 | 194, 182, 455 |
| 7 | 97, 91, 455 |
| 13 | 97, 13, 65 |
| 97, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 97 x 1 x 5 = 353080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353080
Therefore, the GCF of Fractions 61/776,68/728,953/455 is 1/353080
Least Common Multiple of 776,728,455 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 776,728,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,728,455) = 1
common factors(in case of two or more numbers have common factors) = 728
GCF(776,728,455) x common factors =1 x 728 = 728
LCM(776,728,455) = ( 776 × 728 × 455 ) / 728
LCM(776,728,455) = 257042240 / 728
LCM(776,728,455) = 353080
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FAQs on GCF of Fractions of 61/776, 68/728, 953/455
1. What is the HCF of 61,68,953?
The HCF of 61,68,953 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 61/776, 68/728, 953/455?
Answer: GCF of Numerators as per given numbers 61/776, 68/728, 953/455 is
GCF of Numerators i.e. for 61,68,953 is 1
LCM of denominators i.e. for 776,728,455 is 353080.
Thus, GCF of Fractions is 1/353080.Finally, GCF of Fractions for 61/776, 68/728, 953/455 is 1/353080.