GCF of 3155/148, 6420/8516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3155/148, 6420/8516 i.e 5/315092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3155/148, 6420/8516.
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 3155/148,6420/8516?
Given fractions are 3155/148,6420/8516
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 3155/148,6420/8516, numerators are 3155,6420
Denominators are 148,8516
The GCF of 3155,6420 is 5 .
LCM of 148,8516 is 315092.
The greatest common factor of 3155/148,6420/8516 = [GCF of 3155,6420]/[LCM of 148,8516]= 5/315092
Therefore, the GCF of 3155/148,6420/8516 is 5/315092.
To find the highest common factor of 3155,6420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3155 are 1, 5, 631, 3155
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The HCF of 3155,6420 is 5.
Lets's calculate GCF of 3155,6420
| 5 | 3155, 6420 |
| 631, 1284 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3155,6420 By Matching Biggest Common Factor Method
Now, list down the factors of 3155
:1,5,631,3155
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Greatest Common Factor
We found the factors 3155,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 3155,6420 is 5.
Lets's calculate LCM of 148,8516
| 2 | 148, 8516 |
| 2 | 74, 4258 |
| 37, 2129 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 2129 = 315092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/315092
Therefore, the GCF of Fractions 3155/148,6420/8516 is 5/315092
Least Common Multiple of 148,8516 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 148,8516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,8516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,8516) x common factors =4 x 1 = 4
LCM(148,8516) = ( 148 × 8516 ) / 4
LCM(148,8516) = 1260368 / 4
LCM(148,8516) = 315092
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FAQs on GCF of Fractions of 3155/148, 6420/8516
1. What is the HCF of 3155,6420?
The HCF of 3155,6420 is 5
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 3155/148, 6420/8516?
Answer: GCF of Numerators as per given numbers 3155/148, 6420/8516 is
GCF of Numerators i.e. for 3155,6420 is 5
LCM of denominators i.e. for 148,8516 is 315092.
Thus, GCF of Fractions is 5/315092.Finally, GCF of Fractions for 3155/148, 6420/8516 is 5/315092.