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GCF of 687/190, 1604/7325

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 687/190, 1604/7325 i.e 1/278350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/190, 1604/7325.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 687/190,1604/7325?

Given fractions are 687/190,1604/7325

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 687/190,1604/7325, numerators are 687,1604

Denominators are 190,7325

The GCF of 687,1604 is 1 .

LCM of 190,7325 is 278350.

The greatest common factor of 687/190,1604/7325 = [GCF of 687,1604]/[LCM of 190,7325]= 1/278350

Therefore, the GCF of 687/190,1604/7325 is 1/278350.

Greatest Common Factor of 687,1604

To find the highest common factor of 687,1604, we have to find the factors of both numbers and list the highest common factor.

The factors of 687 are 1, 3, 229, 687

The factors of 1604 are 1, 2, 4, 401, 802, 1604

The HCF of 687,1604 is 1.

Lets's calculate GCF of 687,1604

Greatest Common Factor (GCF) of 687,1604 By Common Division

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

Greatest Common Factor of 687,1604 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,1604 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 1604

:

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 687,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 687,1604 is 1.

Lets's calculate LCM of 190,7325

Lowest Common Multiple of 190,7325 using Common Division

5 190, 7325
38, 1465

∴ So the LCM of the given numbers is 5 x 38 x 1465 = 278350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278350

Therefore, the GCF of Fractions 687/190,1604/7325 is 1/278350

Least Common Multiple of 190,7325 with GCF Formula

Least Common Multiple of 190,7325 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 190,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,7325) = 5

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

GCF(190,7325) x common factors =5 x 1 = 5

LCM(190,7325) = ( 190 × 7325 ) / 5

LCM(190,7325) = 1391750 / 5

LCM(190,7325) = 278350


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 687/190, 1604/7325

1. What is the HCF of 687,1604?

The HCF of 687,1604 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 687/190, 1604/7325?

Answer: GCF of Numerators as per given numbers 687/190, 1604/7325 is

GCF of Numerators i.e. for 687,1604 is 1

LCM of denominators i.e. for 190,7325 is 278350.

Thus, GCF of Fractions is 1/278350.Finally, GCF of Fractions for 687/190, 1604/7325 is 1/278350.