GCF of 2355/146, 5070/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2355/146, 5070/476 i.e 15/34748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2355/146, 5070/476.
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 2355/146,5070/476?
Given fractions are 2355/146,5070/476
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 2355/146,5070/476, numerators are 2355,5070
Denominators are 146,476
The GCF of 2355,5070 is 15 .
LCM of 146,476 is 34748.
The greatest common factor of 2355/146,5070/476 = [GCF of 2355,5070]/[LCM of 146,476]= 15/34748
Therefore, the GCF of 2355/146,5070/476 is 15/34748.
To find the highest common factor of 2355,5070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The HCF of 2355,5070 is 15.
Lets's calculate GCF of 2355,5070
| 3 | 2355, 5070 |
| 5 | 785, 1690 |
| 157, 338 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2355,5070 By Matching Biggest Common Factor Method
Now, list down the factors of 2355
:1,3,5,15,157,471,785,2355
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors 2355,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 2355,5070 is 15.
Lets's calculate LCM of 146,476
| 2 | 146, 476 |
| 73, 238 |
∴ So the LCM of the given numbers is 2 x 73 x 238 = 34748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/34748
Therefore, the GCF of Fractions 2355/146,5070/476 is 15/34748
Least Common Multiple of 146,476 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 146,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,476) x common factors =2 x 1 = 2
LCM(146,476) = ( 146 × 476 ) / 2
LCM(146,476) = 69496 / 2
LCM(146,476) = 34748
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FAQs on GCF of Fractions of 2355/146, 5070/476
1. What is the HCF of 2355,5070?
The HCF of 2355,5070 is 15
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 2355/146, 5070/476?
Answer: GCF of Numerators as per given numbers 2355/146, 5070/476 is
GCF of Numerators i.e. for 2355,5070 is 15
LCM of denominators i.e. for 146,476 is 34748.
Thus, GCF of Fractions is 15/34748.Finally, GCF of Fractions for 2355/146, 5070/476 is 15/34748.