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 603/608, 7966/726

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 603/608, 7966/726 i.e 1/220704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/608, 7966/726.

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 603/608,7966/726?

Given fractions are 603/608,7966/726

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 603/608,7966/726, numerators are 603,7966

Denominators are 608,726

The GCF of 603,7966 is 1 .

LCM of 608,726 is 220704.

The greatest common factor of 603/608,7966/726 = [GCF of 603,7966]/[LCM of 608,726]= 1/220704

Therefore, the GCF of 603/608,7966/726 is 1/220704.

Greatest Common Factor of 603,7966

To find the highest common factor of 603,7966, we have to find the factors of both numbers and list the highest common factor.

The factors of 603 are 1, 3, 9, 67, 201, 603

The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966

The HCF of 603,7966 is 1.

Lets's calculate GCF of 603,7966

Greatest Common Factor (GCF) of 603,7966 By Common Division

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

Greatest Common Factor of 603,7966 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,7966 By Matching Biggest Common Factor Method

Now, list down the factors of 603

:

1,3,9,67,201,603

Now, list down the factors of 7966

:

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors 603,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 603,7966 is 1.

Lets's calculate LCM of 608,726

Lowest Common Multiple of 608,726 using Common Division

2 608, 726
304, 363

∴ So the LCM of the given numbers is 2 x 304 x 363 = 220704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220704

Therefore, the GCF of Fractions 603/608,7966/726 is 1/220704

Least Common Multiple of 608,726 with GCF Formula

Least Common Multiple of 608,726 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 608,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,726) = 2

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

GCF(608,726) x common factors =2 x 1 = 2

LCM(608,726) = ( 608 × 726 ) / 2

LCM(608,726) = 441408 / 2

LCM(608,726) = 220704


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 603/608, 7966/726

1. What is the HCF of 603,7966?

The HCF of 603,7966 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 603/608, 7966/726?

Answer: GCF of Numerators as per given numbers 603/608, 7966/726 is

GCF of Numerators i.e. for 603,7966 is 1

LCM of denominators i.e. for 608,726 is 220704.

Thus, GCF of Fractions is 1/220704.Finally, GCF of Fractions for 603/608, 7966/726 is 1/220704.