GCF of 616/39, 957/308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/39, 957/308 i.e 11/12012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/39, 957/308.
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 616/39,957/308?
Given fractions are 616/39,957/308
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 616/39,957/308, numerators are 616,957
Denominators are 39,308
The GCF of 616,957 is 11 .
LCM of 39,308 is 12012.
The greatest common factor of 616/39,957/308 = [GCF of 616,957]/[LCM of 39,308]= 11/12012
Therefore, the GCF of 616/39,957/308 is 11/12012.
To find the highest common factor of 616,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 616,957 is 11.
Lets's calculate GCF of 616,957
| 11 | 616, 957 |
| 56, 87 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 616,957 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 616,957 . The biggest common factor number is the GCF number.
So the greatest common factor 616,957 is 11.
Lets's calculate LCM of 39,308
Given numbers has no common factors except 1. So, there LCM is their product i.e 12012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12012
Therefore, the GCF of Fractions 616/39,957/308 is 11/12012
Least Common Multiple of 39,308 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 39,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,308) x common factors =1 x 1 = 1
LCM(39,308) = ( 39 × 308 ) / 1
LCM(39,308) = 12012 / 1
LCM(39,308) = 12012
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 616/39, 957/308
1. What is the HCF of 616,957?
The HCF of 616,957 is 11
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 616/39, 957/308?
Answer: GCF of Numerators as per given numbers 616/39, 957/308 is
GCF of Numerators i.e. for 616,957 is 11
LCM of denominators i.e. for 39,308 is 12012.
Thus, GCF of Fractions is 11/12012.Finally, GCF of Fractions for 616/39, 957/308 is 11/12012.