GCF of 976/16, 678/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/16, 678/691 i.e 2/11056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/16, 678/691.
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 976/16,678/691?
Given fractions are 976/16,678/691
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 976/16,678/691, numerators are 976,678
Denominators are 16,691
The GCF of 976,678 is 2 .
LCM of 16,691 is 11056.
The greatest common factor of 976/16,678/691 = [GCF of 976,678]/[LCM of 16,691]= 2/11056
Therefore, the GCF of 976/16,678/691 is 2/11056.
To find the highest common factor of 976,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 976,678 is 2.
Lets's calculate GCF of 976,678
| 2 | 976, 678 |
| 488, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 976,678 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 976,678 . The biggest common factor number is the GCF number.
So the greatest common factor 976,678 is 2.
Lets's calculate LCM of 16,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 11056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11056
Therefore, the GCF of Fractions 976/16,678/691 is 2/11056
Least Common Multiple of 16,691 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 16,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,691) x common factors =1 x 1 = 1
LCM(16,691) = ( 16 × 691 ) / 1
LCM(16,691) = 11056 / 1
LCM(16,691) = 11056
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FAQs on GCF of Fractions of 976/16, 678/691
1. What is the HCF of 976,678?
The HCF of 976,678 is 2
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 976/16, 678/691?
Answer: GCF of Numerators as per given numbers 976/16, 678/691 is
GCF of Numerators i.e. for 976,678 is 2
LCM of denominators i.e. for 16,691 is 11056.
Thus, GCF of Fractions is 2/11056.Finally, GCF of Fractions for 976/16, 678/691 is 2/11056.