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 9689/496, 6821/972

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 9689/496, 6821/972 i.e 1/120528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9689/496, 6821/972.

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 9689/496,6821/972?

Given fractions are 9689/496,6821/972

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 9689/496,6821/972, numerators are 9689,6821

Denominators are 496,972

The GCF of 9689,6821 is 1 .

LCM of 496,972 is 120528.

The greatest common factor of 9689/496,6821/972 = [GCF of 9689,6821]/[LCM of 496,972]= 1/120528

Therefore, the GCF of 9689/496,6821/972 is 1/120528.

Greatest Common Factor of 9689,6821

To find the highest common factor of 9689,6821, we have to find the factors of both numbers and list the highest common factor.

The factors of 9689 are 1, 9689

The factors of 6821 are 1, 19, 359, 6821

The HCF of 9689,6821 is 1.

Lets's calculate GCF of 9689,6821

Greatest Common Factor (GCF) of 9689,6821 By Common Division

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

Greatest Common Factor of 9689,6821 By Matching Biggest Common Factor Method

Greatest Common Factor of 9689,6821 By Matching Biggest Common Factor Method

Now, list down the factors of 9689

:

1,9689

Now, list down the factors of 6821

:

1,19,359,6821

Greatest Common Factor

We found the factors 9689,6821 . The biggest common factor number is the GCF number.
So the greatest common factor 9689,6821 is 1.

Lets's calculate LCM of 496,972

Lowest Common Multiple of 496,972 using Common Division

2 496, 972
2 248, 486
124, 243

∴ So the LCM of the given numbers is 2 x 2 x 124 x 243 = 120528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120528

Therefore, the GCF of Fractions 9689/496,6821/972 is 1/120528

Least Common Multiple of 496,972 with GCF Formula

Least Common Multiple of 496,972 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 496,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,972) = 4

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

GCF(496,972) x common factors =4 x 1 = 4

LCM(496,972) = ( 496 × 972 ) / 4

LCM(496,972) = 482112 / 4

LCM(496,972) = 120528


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9689/496, 6821/972

1. What is the HCF of 9689,6821?

The HCF of 9689,6821 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 9689/496, 6821/972?

Answer: GCF of Numerators as per given numbers 9689/496, 6821/972 is

GCF of Numerators i.e. for 9689,6821 is 1

LCM of denominators i.e. for 496,972 is 120528.

Thus, GCF of Fractions is 1/120528.Finally, GCF of Fractions for 9689/496, 6821/972 is 1/120528.