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GCF of 337/770, 1689/1650

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 337/770, 1689/1650 i.e 1/11550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/770, 1689/1650.

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 337/770,1689/1650?

Given fractions are 337/770,1689/1650

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 337/770,1689/1650, numerators are 337,1689

Denominators are 770,1650

The GCF of 337,1689 is 1 .

LCM of 770,1650 is 11550.

The greatest common factor of 337/770,1689/1650 = [GCF of 337,1689]/[LCM of 770,1650]= 1/11550

Therefore, the GCF of 337/770,1689/1650 is 1/11550.

Greatest Common Factor of 337,1689

To find the highest common factor of 337,1689, we have to find the factors of both numbers and list the highest common factor.

The factors of 337 are 1, 337

The factors of 1689 are 1, 3, 563, 1689

The HCF of 337,1689 is 1.

Lets's calculate GCF of 337,1689

Greatest Common Factor (GCF) of 337,1689 By Common Division

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

Greatest Common Factor of 337,1689 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,1689 By Matching Biggest Common Factor Method

Now, list down the factors of 337

:

1,337

Now, list down the factors of 1689

:

1,3,563,1689

Greatest Common Factor

We found the factors 337,1689 . The biggest common factor number is the GCF number.
So the greatest common factor 337,1689 is 1.

Lets's calculate LCM of 770,1650

Lowest Common Multiple of 770,1650 using Common Division

2 770, 1650
5 385, 825
11 77, 165
7, 15

∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 15 = 11550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11550

Therefore, the GCF of Fractions 337/770,1689/1650 is 1/11550

Least Common Multiple of 770,1650 with GCF Formula

Least Common Multiple of 770,1650 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 770,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,1650) = 110

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

GCF(770,1650) x common factors =110 x 1 = 110

LCM(770,1650) = ( 770 × 1650 ) / 110

LCM(770,1650) = 1270500 / 110

LCM(770,1650) = 11550


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FAQs on GCF of Fractions of 337/770, 1689/1650

1. What is the HCF of 337,1689?

The HCF of 337,1689 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 337/770, 1689/1650?

Answer: GCF of Numerators as per given numbers 337/770, 1689/1650 is

GCF of Numerators i.e. for 337,1689 is 1

LCM of denominators i.e. for 770,1650 is 11550.

Thus, GCF of Fractions is 1/11550.Finally, GCF of Fractions for 337/770, 1689/1650 is 1/11550.