GCF of 5814/315, 7970/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5814/315, 7970/598 i.e 2/188370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5814/315, 7970/598.
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 5814/315,7970/598?
Given fractions are 5814/315,7970/598
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 5814/315,7970/598, numerators are 5814,7970
Denominators are 315,598
The GCF of 5814,7970 is 2 .
LCM of 315,598 is 188370.
The greatest common factor of 5814/315,7970/598 = [GCF of 5814,7970]/[LCM of 315,598]= 2/188370
Therefore, the GCF of 5814/315,7970/598 is 2/188370.
To find the highest common factor of 5814,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 5814,7970 is 2.
Lets's calculate GCF of 5814,7970
| 2 | 5814, 7970 |
| 2907, 3985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5814,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 5814
:1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 5814,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,7970 is 2.
Lets's calculate LCM of 315,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 188370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/188370
Therefore, the GCF of Fractions 5814/315,7970/598 is 2/188370
Least Common Multiple of 315,598 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 315,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,598) x common factors =1 x 1 = 1
LCM(315,598) = ( 315 × 598 ) / 1
LCM(315,598) = 188370 / 1
LCM(315,598) = 188370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5814/315, 7970/598
1. What is the HCF of 5814,7970?
The HCF of 5814,7970 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 5814/315, 7970/598?
Answer: GCF of Numerators as per given numbers 5814/315, 7970/598 is
GCF of Numerators i.e. for 5814,7970 is 2
LCM of denominators i.e. for 315,598 is 188370.
Thus, GCF of Fractions is 2/188370.Finally, GCF of Fractions for 5814/315, 7970/598 is 2/188370.