How to Find GCF of 2390/105, 4187/8314?

GCF of 2390/105, 4187/8314

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2390/105, 4187/8314 i.e 1/872970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2390/105, 4187/8314.

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 2390/105,4187/8314?

Given fractions are 2390/105,4187/8314

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 2390/105,4187/8314, numerators are 2390,4187

Denominators are 105,8314

The GCF of 2390,4187 is 1 .

LCM of 105,8314 is 872970.

The greatest common factor of 2390/105,4187/8314 = [GCF of 2390,4187]/[LCM of 105,8314]= 1/872970

Therefore, the GCF of 2390/105,4187/8314 is 1/872970.

Greatest Common Factor of 2390,4187

To find the highest common factor of 2390,4187, we have to find the factors of both numbers and list the highest common factor.

The factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390

The factors of 4187 are 1, 53, 79, 4187

The HCF of 2390,4187 is 1.

Lets's calculate GCF of 2390,4187

Greatest Common Factor (GCF) of 2390,4187 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2390,4187 By Matching Biggest Common Factor Method

Now, list down the factors of 2390

1,2,5,10,239,478,1195,2390

Now, list down the factors of 4187

1,53,79,4187

Greatest Common Factor

We found the factors 2390,4187 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,4187 is 1.

Lets's calculate LCM of 105,8314

Lowest Common Multiple of 105,8314 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 872970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/872970

Therefore, the GCF of Fractions 2390/105,4187/8314 is 1/872970

Least Common Multiple of 105,8314 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 105,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,8314) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(105,8314) x common factors =1 x 1 = 1

LCM(105,8314) = ( 105 × 8314 ) / 1

LCM(105,8314) = 872970 / 1

LCM(105,8314) = 872970

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2390/105, 4187/8314

1. What is the HCF of 2390,4187?

The HCF of 2390,4187 is 1

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 2390/105, 4187/8314?

Answer: GCF of Numerators as per given numbers 2390/105, 4187/8314 is

GCF of Numerators i.e. for 2390,4187 is 1

LCM of denominators i.e. for 105,8314 is 872970.

Thus, GCF of Fractions is 1/872970.Finally, GCF of Fractions for 2390/105, 4187/8314 is 1/872970.