GCF of 4816/711, 1960/7789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4816/711, 1960/7789 i.e 56/5537979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4816/711, 1960/7789.
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 4816/711,1960/7789?
Given fractions are 4816/711,1960/7789
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 4816/711,1960/7789, numerators are 4816,1960
Denominators are 711,7789
The GCF of 4816,1960 is 56 .
LCM of 711,7789 is 5537979.
The greatest common factor of 4816/711,1960/7789 = [GCF of 4816,1960]/[LCM of 711,7789]= 56/5537979
Therefore, the GCF of 4816/711,1960/7789 is 56/5537979.
To find the highest common factor of 4816,1960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
The HCF of 4816,1960 is 56.
Lets's calculate GCF of 4816,1960
| 2 | 4816, 1960 |
| 2 | 2408, 980 |
| 2 | 1204, 490 |
| 7 | 602, 245 |
| 86, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 4816,1960 By Matching Biggest Common Factor Method
Now, list down the factors of 4816
:1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Now, list down the factors of 1960
:1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960
Greatest Common Factor
We found the factors 4816,1960 . The biggest common factor number is the GCF number.
So the greatest common factor 4816,1960 is 56.
Lets's calculate LCM of 711,7789
Given numbers has no common factors except 1. So, there LCM is their product i.e 5537979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/5537979
Therefore, the GCF of Fractions 4816/711,1960/7789 is 56/5537979
Least Common Multiple of 711,7789 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 711,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,7789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,7789) x common factors =1 x 1 = 1
LCM(711,7789) = ( 711 × 7789 ) / 1
LCM(711,7789) = 5537979 / 1
LCM(711,7789) = 5537979
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4816/711, 1960/7789
1. What is the HCF of 4816,1960?
The HCF of 4816,1960 is 56
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 4816/711, 1960/7789?
Answer: GCF of Numerators as per given numbers 4816/711, 1960/7789 is
GCF of Numerators i.e. for 4816,1960 is 56
LCM of denominators i.e. for 711,7789 is 5537979.
Thus, GCF of Fractions is 56/5537979.Finally, GCF of Fractions for 4816/711, 1960/7789 is 56/5537979.