How to Find GCF of 6289/208, 7450/7361?

GCF of 6289/208, 7450/7361

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 6289/208, 7450/7361 i.e 1/1531088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6289/208, 7450/7361.

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 6289/208,7450/7361?

Given fractions are 6289/208,7450/7361

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 6289/208,7450/7361, numerators are 6289,7450

Denominators are 208,7361

The GCF of 6289,7450 is 1 .

LCM of 208,7361 is 1531088.

The greatest common factor of 6289/208,7450/7361 = [GCF of 6289,7450]/[LCM of 208,7361]= 1/1531088

Therefore, the GCF of 6289/208,7450/7361 is 1/1531088.

Greatest Common Factor of 6289,7450

To find the highest common factor of 6289,7450, we have to find the factors of both numbers and list the highest common factor.

The factors of 6289 are 1, 19, 331, 6289

The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450

The HCF of 6289,7450 is 1.

Lets's calculate GCF of 6289,7450

Greatest Common Factor (GCF) of 6289,7450 By Common Division

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

Greatest Common Factor of 6289,7450 By Matching Biggest Common Factor Method

Now, list down the factors of 6289

1,19,331,6289

Now, list down the factors of 7450

1,2,5,10,25,50,149,298,745,1490,3725,7450

Greatest Common Factor

We found the factors 6289,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 6289,7450 is 1.

Lets's calculate LCM of 208,7361

Lowest Common Multiple of 208,7361 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1531088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1531088

Therefore, the GCF of Fractions 6289/208,7450/7361 is 1/1531088

Least Common Multiple of 208,7361 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 208,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,7361) = 1

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

GCF(208,7361) x common factors =1 x 1 = 1

LCM(208,7361) = ( 208 × 7361 ) / 1

LCM(208,7361) = 1531088 / 1

LCM(208,7361) = 1531088

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FAQs on GCF of Fractions of 6289/208, 7450/7361

1. What is the HCF of 6289,7450?

The HCF of 6289,7450 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 6289/208, 7450/7361?

Answer: GCF of Numerators as per given numbers 6289/208, 7450/7361 is

GCF of Numerators i.e. for 6289,7450 is 1

LCM of denominators i.e. for 208,7361 is 1531088.

Thus, GCF of Fractions is 1/1531088.Finally, GCF of Fractions for 6289/208, 7450/7361 is 1/1531088.