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 539/969, 1034/406

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 539/969, 1034/406 i.e 11/393414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/969, 1034/406.

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 539/969,1034/406?

Given fractions are 539/969,1034/406

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 539/969,1034/406, numerators are 539,1034

Denominators are 969,406

The GCF of 539,1034 is 11 .

LCM of 969,406 is 393414.

The greatest common factor of 539/969,1034/406 = [GCF of 539,1034]/[LCM of 969,406]= 11/393414

Therefore, the GCF of 539/969,1034/406 is 11/393414.

Greatest Common Factor of 539,1034

To find the highest common factor of 539,1034, we have to find the factors of both numbers and list the highest common factor.

The factors of 539 are 1, 7, 11, 49, 77, 539

The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034

The HCF of 539,1034 is 11.

Lets's calculate GCF of 539,1034

Greatest Common Factor (GCF) of 539,1034 By Common Division

11 539, 1034
49, 94

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 539,1034 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,1034 By Matching Biggest Common Factor Method

Now, list down the factors of 539

:

1,7,11,49,77,539

Now, list down the factors of 1034

:

1,2,11,22,47,94,517,1034

Greatest Common Factor

We found the factors 539,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 539,1034 is 11.

Lets's calculate LCM of 969,406

Lowest Common Multiple of 969,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/393414

Therefore, the GCF of Fractions 539/969,1034/406 is 11/393414

Least Common Multiple of 969,406 with GCF Formula

Least Common Multiple of 969,406 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 969,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,406) = 1

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

GCF(969,406) x common factors =1 x 1 = 1

LCM(969,406) = ( 969 × 406 ) / 1

LCM(969,406) = 393414 / 1

LCM(969,406) = 393414


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 539/969, 1034/406

1. What is the HCF of 539,1034?

The HCF of 539,1034 is 11

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 539/969, 1034/406?

Answer: GCF of Numerators as per given numbers 539/969, 1034/406 is

GCF of Numerators i.e. for 539,1034 is 11

LCM of denominators i.e. for 969,406 is 393414.

Thus, GCF of Fractions is 11/393414.Finally, GCF of Fractions for 539/969, 1034/406 is 11/393414.