GCF of 859/78, 967/34, 728/91
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 859/78, 967/34, 728/91 i.e 1/9282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/78, 967/34, 728/91.
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 859/78,967/34,728/91?
Given fractions are 859/78,967/34,728/91
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 859/78,967/34,728/91, numerators are 859,967,728
Denominators are 78,34,91
The GCF of 859,967,728 is 1 .
LCM of 78,34,91 is 9282.
The greatest common factor of 859/78,967/34,728/91 = [GCF of 859,967,728]/[LCM of 78,34,91]= 1/9282
Therefore, the GCF of 859/78,967/34,728/91 is 1/9282.
To find the highest common factor of 859,967,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 859 are 1, 859
The factors of 967 are 1, 967
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 859,967,728 is 1.
Lets's calculate GCF of 859,967,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 859,967,728 By Matching Biggest Common Factor Method
Now, list down the factors of 859
:1,859
Now, list down the factors of 967
:1,967
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 859,967,728 . The biggest common factor number is the GCF number.
So the greatest common factor 859,967,728 is 1.
Lets's calculate LCM of 78,34,91
| 2 | 78, 34, 91 |
| 13 | 39, 17, 91 |
| 3, 17, 7 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 17 x 7 = 9282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9282
Therefore, the GCF of Fractions 859/78,967/34,728/91 is 1/9282
Least Common Multiple of 78,34,91 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 78,34,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,34,91) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(78,34,91) x common factors =1 x 26 = 26
LCM(78,34,91) = ( 78 × 34 × 91 ) / 26
LCM(78,34,91) = 241332 / 26
LCM(78,34,91) = 9282
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FAQs on GCF of Fractions of 859/78, 967/34, 728/91
1. What is the HCF of 859,967,728?
The HCF of 859,967,728 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 859/78, 967/34, 728/91?
Answer: GCF of Numerators as per given numbers 859/78, 967/34, 728/91 is
GCF of Numerators i.e. for 859,967,728 is 1
LCM of denominators i.e. for 78,34,91 is 9282.
Thus, GCF of Fractions is 1/9282.Finally, GCF of Fractions for 859/78, 967/34, 728/91 is 1/9282.