GCF of 4296/615, 5157/9290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4296/615, 5157/9290 i.e 3/1142670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4296/615, 5157/9290.
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 4296/615,5157/9290?
Given fractions are 4296/615,5157/9290
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 4296/615,5157/9290, numerators are 4296,5157
Denominators are 615,9290
The GCF of 4296,5157 is 3 .
LCM of 615,9290 is 1142670.
The greatest common factor of 4296/615,5157/9290 = [GCF of 4296,5157]/[LCM of 615,9290]= 3/1142670
Therefore, the GCF of 4296/615,5157/9290 is 3/1142670.
To find the highest common factor of 4296,5157, we have to find the factors of both numbers and list the highest common factor.
The factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296
The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157
The HCF of 4296,5157 is 3.
Lets's calculate GCF of 4296,5157
| 3 | 4296, 5157 |
| 1432, 1719 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4296,5157 By Matching Biggest Common Factor Method
Now, list down the factors of 4296
:1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Now, list down the factors of 5157
:1,3,9,27,191,573,1719,5157
Greatest Common Factor
We found the factors 4296,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 4296,5157 is 3.
Lets's calculate LCM of 615,9290
| 5 | 615, 9290 |
| 123, 1858 |
∴ So the LCM of the given numbers is 5 x 123 x 1858 = 1142670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1142670
Therefore, the GCF of Fractions 4296/615,5157/9290 is 3/1142670
Least Common Multiple of 615,9290 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 615,9290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9290) x common factors =5 x 1 = 5
LCM(615,9290) = ( 615 × 9290 ) / 5
LCM(615,9290) = 5713350 / 5
LCM(615,9290) = 1142670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4296/615, 5157/9290
1. What is the HCF of 4296,5157?
The HCF of 4296,5157 is 3
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 4296/615, 5157/9290?
Answer: GCF of Numerators as per given numbers 4296/615, 5157/9290 is
GCF of Numerators i.e. for 4296,5157 is 3
LCM of denominators i.e. for 615,9290 is 1142670.
Thus, GCF of Fractions is 3/1142670.Finally, GCF of Fractions for 4296/615, 5157/9290 is 3/1142670.