GCF of 944/686, 976/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 944/686, 976/319 i.e 16/218834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 944/686, 976/319.
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 944/686,976/319?
Given fractions are 944/686,976/319
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 944/686,976/319, numerators are 944,976
Denominators are 686,319
The GCF of 944,976 is 16 .
LCM of 686,319 is 218834.
The greatest common factor of 944/686,976/319 = [GCF of 944,976]/[LCM of 686,319]= 16/218834
Therefore, the GCF of 944/686,976/319 is 16/218834.
To find the highest common factor of 944,976, we have to find the factors of both numbers and list the highest common factor.
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The HCF of 944,976 is 16.
Lets's calculate GCF of 944,976
| 2 | 944, 976 |
| 2 | 472, 488 |
| 2 | 236, 244 |
| 2 | 118, 122 |
| 59, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 944,976 By Matching Biggest Common Factor Method
Now, list down the factors of 944
:1,2,4,8,16,59,118,236,472,944
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 944,976 . The biggest common factor number is the GCF number.
So the greatest common factor 944,976 is 16.
Lets's calculate LCM of 686,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 218834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/218834
Therefore, the GCF of Fractions 944/686,976/319 is 16/218834
Least Common Multiple of 686,319 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 686,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,319) x common factors =1 x 1 = 1
LCM(686,319) = ( 686 × 319 ) / 1
LCM(686,319) = 218834 / 1
LCM(686,319) = 218834
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FAQs on GCF of Fractions of 944/686, 976/319
1. What is the HCF of 944,976?
The HCF of 944,976 is 16
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 944/686, 976/319?
Answer: GCF of Numerators as per given numbers 944/686, 976/319 is
GCF of Numerators i.e. for 944,976 is 16
LCM of denominators i.e. for 686,319 is 218834.
Thus, GCF of Fractions is 16/218834.Finally, GCF of Fractions for 944/686, 976/319 is 16/218834.