LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 737/23, 105/746

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 737/23, 105/746 i.e 1/17158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 737/23, 105/746.

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 737/23,105/746?

Given fractions are 737/23,105/746

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 737/23,105/746, numerators are 737,105

Denominators are 23,746

The GCF of 737,105 is 1 .

LCM of 23,746 is 17158.

The greatest common factor of 737/23,105/746 = [GCF of 737,105]/[LCM of 23,746]= 1/17158

Therefore, the GCF of 737/23,105/746 is 1/17158.

Greatest Common Factor of 737,105

To find the highest common factor of 737,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 737 are 1, 11, 67, 737

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 737,105 is 1.

Lets's calculate GCF of 737,105

Greatest Common Factor (GCF) of 737,105 By Common Division

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

Greatest Common Factor of 737,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,105 By Matching Biggest Common Factor Method

Now, list down the factors of 737

:

1,11,67,737

Now, list down the factors of 105

:

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 737,105 . The biggest common factor number is the GCF number.
So the greatest common factor 737,105 is 1.

Lets's calculate LCM of 23,746

Lowest Common Multiple of 23,746 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17158

Therefore, the GCF of Fractions 737/23,105/746 is 1/17158

Least Common Multiple of 23,746 with GCF Formula

Least Common Multiple of 23,746 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 23,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,746) = 1

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

GCF(23,746) x common factors =1 x 1 = 1

LCM(23,746) = ( 23 × 746 ) / 1

LCM(23,746) = 17158 / 1

LCM(23,746) = 17158


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 737/23, 105/746

1. What is the HCF of 737,105?

The HCF of 737,105 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 737/23, 105/746?

Answer: GCF of Numerators as per given numbers 737/23, 105/746 is

GCF of Numerators i.e. for 737,105 is 1

LCM of denominators i.e. for 23,746 is 17158.

Thus, GCF of Fractions is 1/17158.Finally, GCF of Fractions for 737/23, 105/746 is 1/17158.