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GCF of 754/290, 2197/598

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 754/290, 2197/598 i.e 13/86710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/290, 2197/598.

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 754/290,2197/598?

Given fractions are 754/290,2197/598

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 754/290,2197/598, numerators are 754,2197

Denominators are 290,598

The GCF of 754,2197 is 13 .

LCM of 290,598 is 86710.

The greatest common factor of 754/290,2197/598 = [GCF of 754,2197]/[LCM of 290,598]= 13/86710

Therefore, the GCF of 754/290,2197/598 is 13/86710.

Greatest Common Factor of 754,2197

To find the highest common factor of 754,2197, we have to find the factors of both numbers and list the highest common factor.

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The factors of 2197 are 1, 13, 169, 2197

The HCF of 754,2197 is 13.

Lets's calculate GCF of 754,2197

Greatest Common Factor (GCF) of 754,2197 By Common Division

13 754, 2197
58, 169

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 754,2197 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,2197 By Matching Biggest Common Factor Method

Now, list down the factors of 754

:

1,2,13,26,29,58,377,754

Now, list down the factors of 2197

:

1,13,169,2197

Greatest Common Factor

We found the factors 754,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 754,2197 is 13.


Lets's calculate LCM of 290,598

Lowest Common Multiple of 290,598 using Common Division

2 290, 598
145, 299

∴ So the LCM of the given numbers is 2 x 145 x 299 = 86710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/86710

Therefore, the GCF of Fractions 754/290,2197/598 is 13/86710

Least Common Multiple of 290,598 with GCF Formula

Least Common Multiple of 290,598 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 290,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,598) = 2

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

GCF(290,598) x common factors =2 x 1 = 2

LCM(290,598) = ( 290 × 598 ) / 2

LCM(290,598) = 173420 / 2

LCM(290,598) = 86710


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 754/290, 2197/598

1. What is the HCF of 754,2197?

The HCF of 754,2197 is 13

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 754/290, 2197/598?

Answer: GCF of Numerators as per given numbers 754/290, 2197/598 is

GCF of Numerators i.e. for 754,2197 is 13

LCM of denominators i.e. for 290,598 is 86710.

Thus, GCF of Fractions is 13/86710.Finally, GCF of Fractions for 754/290, 2197/598 is 13/86710.