How to Find GCF of 2638/250, 1283/6022?

GCF of 2638/250, 1283/6022

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 2638/250, 1283/6022 i.e 1/752750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2638/250, 1283/6022.

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 2638/250,1283/6022?

Given fractions are 2638/250,1283/6022

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 2638/250,1283/6022, numerators are 2638,1283

Denominators are 250,6022

The GCF of 2638,1283 is 1 .

LCM of 250,6022 is 752750.

The greatest common factor of 2638/250,1283/6022 = [GCF of 2638,1283]/[LCM of 250,6022]= 1/752750

Therefore, the GCF of 2638/250,1283/6022 is 1/752750.

Greatest Common Factor of 2638,1283

To find the highest common factor of 2638,1283, we have to find the factors of both numbers and list the highest common factor.

The factors of 2638 are 1, 2, 1319, 2638

The factors of 1283 are 1, 1283

The HCF of 2638,1283 is 1.

Lets's calculate GCF of 2638,1283

Greatest Common Factor (GCF) of 2638,1283 By Common Division

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

Greatest Common Factor of 2638,1283 By Matching Biggest Common Factor Method

Now, list down the factors of 2638

1,2,1319,2638

Now, list down the factors of 1283

1,1283

Greatest Common Factor

We found the factors 2638,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,1283 is 1.

Lets's calculate LCM of 250,6022

Lowest Common Multiple of 250,6022 using Common Division

2	250, 6022
	125, 3011

∴ So the LCM of the given numbers is 2 x 125 x 3011 = 752750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752750

Therefore, the GCF of Fractions 2638/250,1283/6022 is 1/752750

Least Common Multiple of 250,6022 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 250,6022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,6022) = 2

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

GCF(250,6022) x common factors =2 x 1 = 2

LCM(250,6022) = ( 250 × 6022 ) / 2

LCM(250,6022) = 1505500 / 2

LCM(250,6022) = 752750

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2638/250, 1283/6022

1. What is the HCF of 2638,1283?

The HCF of 2638,1283 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 2638/250, 1283/6022?

Answer: GCF of Numerators as per given numbers 2638/250, 1283/6022 is

GCF of Numerators i.e. for 2638,1283 is 1

LCM of denominators i.e. for 250,6022 is 752750.

Thus, GCF of Fractions is 1/752750.Finally, GCF of Fractions for 2638/250, 1283/6022 is 1/752750.