How to Find GCF of 690/698, 397/340?

GCF of 690/698, 397/340

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 690/698, 397/340 i.e 1/118660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/698, 397/340.

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 690/698,397/340?

Given fractions are 690/698,397/340

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 690/698,397/340, numerators are 690,397

Denominators are 698,340

The GCF of 690,397 is 1 .

LCM of 698,340 is 118660.

The greatest common factor of 690/698,397/340 = [GCF of 690,397]/[LCM of 698,340]= 1/118660

Therefore, the GCF of 690/698,397/340 is 1/118660.

Greatest Common Factor of 690,397

To find the highest common factor of 690,397, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 397 are 1, 397

The HCF of 690,397 is 1.

Lets's calculate GCF of 690,397

Greatest Common Factor (GCF) of 690,397 By Common Division

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

Greatest Common Factor of 690,397 By Matching Biggest Common Factor Method

Now, list down the factors of 690

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 397

1,397

Greatest Common Factor

We found the factors 690,397 . The biggest common factor number is the GCF number.
So the greatest common factor 690,397 is 1.

Lets's calculate LCM of 698,340

Lowest Common Multiple of 698,340 using Common Division

2	698, 340
	349, 170

∴ So the LCM of the given numbers is 2 x 349 x 170 = 118660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118660

Therefore, the GCF of Fractions 690/698,397/340 is 1/118660

Least Common Multiple of 698,340 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 698,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,340) = 2

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

GCF(698,340) x common factors =2 x 1 = 2

LCM(698,340) = ( 698 × 340 ) / 2

LCM(698,340) = 237320 / 2

LCM(698,340) = 118660

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FAQs on GCF of Fractions of 690/698, 397/340

1. What is the HCF of 690,397?

The HCF of 690,397 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 690/698, 397/340?

Answer: GCF of Numerators as per given numbers 690/698, 397/340 is

GCF of Numerators i.e. for 690,397 is 1

LCM of denominators i.e. for 698,340 is 118660.

Thus, GCF of Fractions is 1/118660.Finally, GCF of Fractions for 690/698, 397/340 is 1/118660.