GCF of 2902/948, 5764/2168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2902/948, 5764/2168 i.e 2/513816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2902/948, 5764/2168.
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 2902/948,5764/2168?
Given fractions are 2902/948,5764/2168
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 2902/948,5764/2168, numerators are 2902,5764
Denominators are 948,2168
The GCF of 2902,5764 is 2 .
LCM of 948,2168 is 513816.
The greatest common factor of 2902/948,5764/2168 = [GCF of 2902,5764]/[LCM of 948,2168]= 2/513816
Therefore, the GCF of 2902/948,5764/2168 is 2/513816.
To find the highest common factor of 2902,5764, we have to find the factors of both numbers and list the highest common factor.
The factors of 2902 are 1, 2, 1451, 2902
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The HCF of 2902,5764 is 2.
Lets's calculate GCF of 2902,5764
| 2 | 2902, 5764 |
| 1451, 2882 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2902,5764 By Matching Biggest Common Factor Method
Now, list down the factors of 2902
:1,2,1451,2902
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors 2902,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 2902,5764 is 2.
Lets's calculate LCM of 948,2168
| 2 | 948, 2168 |
| 2 | 474, 1084 |
| 237, 542 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 542 = 513816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/513816
Therefore, the GCF of Fractions 2902/948,5764/2168 is 2/513816
Least Common Multiple of 948,2168 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 948,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,2168) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,2168) x common factors =4 x 1 = 4
LCM(948,2168) = ( 948 × 2168 ) / 4
LCM(948,2168) = 2055264 / 4
LCM(948,2168) = 513816
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2902/948, 5764/2168
1. What is the HCF of 2902,5764?
The HCF of 2902,5764 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 2902/948, 5764/2168?
Answer: GCF of Numerators as per given numbers 2902/948, 5764/2168 is
GCF of Numerators i.e. for 2902,5764 is 2
LCM of denominators i.e. for 948,2168 is 513816.
Thus, GCF of Fractions is 2/513816.Finally, GCF of Fractions for 2902/948, 5764/2168 is 2/513816.