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GCF of 7190/856, 6409/598

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 7190/856, 6409/598 i.e 1/255944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7190/856, 6409/598.

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 7190/856,6409/598?

Given fractions are 7190/856,6409/598

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 7190/856,6409/598, numerators are 7190,6409

Denominators are 856,598

The GCF of 7190,6409 is 1 .

LCM of 856,598 is 255944.

The greatest common factor of 7190/856,6409/598 = [GCF of 7190,6409]/[LCM of 856,598]= 1/255944

Therefore, the GCF of 7190/856,6409/598 is 1/255944.

Greatest Common Factor of 7190,6409

To find the highest common factor of 7190,6409, we have to find the factors of both numbers and list the highest common factor.

The factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190

The factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409

The HCF of 7190,6409 is 1.

Lets's calculate GCF of 7190,6409

Greatest Common Factor (GCF) of 7190,6409 By Common Division

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

Greatest Common Factor of 7190,6409 By Matching Biggest Common Factor Method

Greatest Common Factor of 7190,6409 By Matching Biggest Common Factor Method

Now, list down the factors of 7190

:

1,2,5,10,719,1438,3595,7190

Now, list down the factors of 6409

:

1,13,17,29,221,377,493,6409

Greatest Common Factor

We found the factors 7190,6409 . The biggest common factor number is the GCF number.
So the greatest common factor 7190,6409 is 1.


Lets's calculate LCM of 856,598

Lowest Common Multiple of 856,598 using Common Division

2 856, 598
428, 299

∴ So the LCM of the given numbers is 2 x 428 x 299 = 255944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255944

Therefore, the GCF of Fractions 7190/856,6409/598 is 1/255944

Least Common Multiple of 856,598 with GCF Formula

Least Common Multiple of 856,598 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 856,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,598) = 2

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

GCF(856,598) x common factors =2 x 1 = 2

LCM(856,598) = ( 856 × 598 ) / 2

LCM(856,598) = 511888 / 2

LCM(856,598) = 255944


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7190/856, 6409/598

1. What is the HCF of 7190,6409?

The HCF of 7190,6409 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 7190/856, 6409/598?

Answer: GCF of Numerators as per given numbers 7190/856, 6409/598 is

GCF of Numerators i.e. for 7190,6409 is 1

LCM of denominators i.e. for 856,598 is 255944.

Thus, GCF of Fractions is 1/255944.Finally, GCF of Fractions for 7190/856, 6409/598 is 1/255944.