GCF of 5764/596, 2796/6837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5764/596, 2796/6837 i.e 4/4074852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5764/596, 2796/6837.
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 5764/596,2796/6837?
Given fractions are 5764/596,2796/6837
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 5764/596,2796/6837, numerators are 5764,2796
Denominators are 596,6837
The GCF of 5764,2796 is 4 .
LCM of 596,6837 is 4074852.
The greatest common factor of 5764/596,2796/6837 = [GCF of 5764,2796]/[LCM of 596,6837]= 4/4074852
Therefore, the GCF of 5764/596,2796/6837 is 4/4074852.
To find the highest common factor of 5764,2796, we have to find the factors of both numbers and list the highest common factor.
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796
The HCF of 5764,2796 is 4.
Lets's calculate GCF of 5764,2796
| 2 | 5764, 2796 |
| 2 | 2882, 1398 |
| 1441, 699 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5764,2796 By Matching Biggest Common Factor Method
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Now, list down the factors of 2796
:1,2,3,4,6,12,233,466,699,932,1398,2796
Greatest Common Factor
We found the factors 5764,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 5764,2796 is 4.
Lets's calculate LCM of 596,6837
Given numbers has no common factors except 1. So, there LCM is their product i.e 4074852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4074852
Therefore, the GCF of Fractions 5764/596,2796/6837 is 4/4074852
Least Common Multiple of 596,6837 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 596,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,6837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,6837) x common factors =1 x 1 = 1
LCM(596,6837) = ( 596 × 6837 ) / 1
LCM(596,6837) = 4074852 / 1
LCM(596,6837) = 4074852
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FAQs on GCF of Fractions of 5764/596, 2796/6837
1. What is the HCF of 5764,2796?
The HCF of 5764,2796 is 4
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 5764/596, 2796/6837?
Answer: GCF of Numerators as per given numbers 5764/596, 2796/6837 is
GCF of Numerators i.e. for 5764,2796 is 4
LCM of denominators i.e. for 596,6837 is 4074852.
Thus, GCF of Fractions is 4/4074852.Finally, GCF of Fractions for 5764/596, 2796/6837 is 4/4074852.