How to Find GCF of 2470/895, 8378/6128?

GCF of 2470/895, 8378/6128

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 2470/895, 8378/6128 i.e 2/5484560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2470/895, 8378/6128.

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 2470/895,8378/6128?

Given fractions are 2470/895,8378/6128

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 2470/895,8378/6128, numerators are 2470,8378

Denominators are 895,6128

The GCF of 2470,8378 is 2 .

LCM of 895,6128 is 5484560.

The greatest common factor of 2470/895,8378/6128 = [GCF of 2470,8378]/[LCM of 895,6128]= 2/5484560

Therefore, the GCF of 2470/895,8378/6128 is 2/5484560.

Greatest Common Factor of 2470,8378

To find the highest common factor of 2470,8378, we have to find the factors of both numbers and list the highest common factor.

The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378

The HCF of 2470,8378 is 2.

Lets's calculate GCF of 2470,8378

Greatest Common Factor (GCF) of 2470,8378 By Common Division

2	2470, 8378
	1235, 4189

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2470,8378 By Matching Biggest Common Factor Method

Now, list down the factors of 2470

1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470

Now, list down the factors of 8378

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 2470,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 2470,8378 is 2.

Lets's calculate LCM of 895,6128

Lowest Common Multiple of 895,6128 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5484560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5484560

Therefore, the GCF of Fractions 2470/895,8378/6128 is 2/5484560

Least Common Multiple of 895,6128 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 895,6128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,6128) = 1

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

GCF(895,6128) x common factors =1 x 1 = 1

LCM(895,6128) = ( 895 × 6128 ) / 1

LCM(895,6128) = 5484560 / 1

LCM(895,6128) = 5484560

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2470/895, 8378/6128

1. What is the HCF of 2470,8378?

The HCF of 2470,8378 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 2470/895, 8378/6128?

Answer: GCF of Numerators as per given numbers 2470/895, 8378/6128 is

GCF of Numerators i.e. for 2470,8378 is 2

LCM of denominators i.e. for 895,6128 is 5484560.

Thus, GCF of Fractions is 2/5484560.Finally, GCF of Fractions for 2470/895, 8378/6128 is 2/5484560.