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 7333/687, 6331/702

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 7333/687, 6331/702 i.e 1/160758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7333/687, 6331/702.

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 7333/687,6331/702?

Given fractions are 7333/687,6331/702

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 7333/687,6331/702, numerators are 7333,6331

Denominators are 687,702

The GCF of 7333,6331 is 1 .

LCM of 687,702 is 160758.

The greatest common factor of 7333/687,6331/702 = [GCF of 7333,6331]/[LCM of 687,702]= 1/160758

Therefore, the GCF of 7333/687,6331/702 is 1/160758.

Greatest Common Factor of 7333,6331

To find the highest common factor of 7333,6331, we have to find the factors of both numbers and list the highest common factor.

The factors of 7333 are 1, 7333

The factors of 6331 are 1, 13, 487, 6331

The HCF of 7333,6331 is 1.

Lets's calculate GCF of 7333,6331

Greatest Common Factor (GCF) of 7333,6331 By Common Division

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

Greatest Common Factor of 7333,6331 By Matching Biggest Common Factor Method

Greatest Common Factor of 7333,6331 By Matching Biggest Common Factor Method

Now, list down the factors of 7333

:

1,7333

Now, list down the factors of 6331

:

1,13,487,6331

Greatest Common Factor

We found the factors 7333,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,6331 is 1.

Lets's calculate LCM of 687,702

Lowest Common Multiple of 687,702 using Common Division

3 687, 702
229, 234

∴ So the LCM of the given numbers is 3 x 229 x 234 = 160758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160758

Therefore, the GCF of Fractions 7333/687,6331/702 is 1/160758

Least Common Multiple of 687,702 with GCF Formula

Least Common Multiple of 687,702 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 687,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,702) = 3

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

GCF(687,702) x common factors =3 x 1 = 3

LCM(687,702) = ( 687 × 702 ) / 3

LCM(687,702) = 482274 / 3

LCM(687,702) = 160758


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7333/687, 6331/702

1. What is the HCF of 7333,6331?

The HCF of 7333,6331 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 7333/687, 6331/702?

Answer: GCF of Numerators as per given numbers 7333/687, 6331/702 is

GCF of Numerators i.e. for 7333,6331 is 1

LCM of denominators i.e. for 687,702 is 160758.

Thus, GCF of Fractions is 1/160758.Finally, GCF of Fractions for 7333/687, 6331/702 is 1/160758.