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GCF of 537/905, 6211/648

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 537/905, 6211/648 i.e 1/586440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/905, 6211/648.

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 537/905,6211/648?

Given fractions are 537/905,6211/648

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 537/905,6211/648, numerators are 537,6211

Denominators are 905,648

The GCF of 537,6211 is 1 .

LCM of 905,648 is 586440.

The greatest common factor of 537/905,6211/648 = [GCF of 537,6211]/[LCM of 905,648]= 1/586440

Therefore, the GCF of 537/905,6211/648 is 1/586440.

Greatest Common Factor of 537,6211

To find the highest common factor of 537,6211, we have to find the factors of both numbers and list the highest common factor.

The factors of 537 are 1, 3, 179, 537

The factors of 6211 are 1, 6211

The HCF of 537,6211 is 1.

Lets's calculate GCF of 537,6211

Greatest Common Factor (GCF) of 537,6211 By Common Division

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

Greatest Common Factor of 537,6211 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,6211 By Matching Biggest Common Factor Method

Now, list down the factors of 537

:

1,3,179,537

Now, list down the factors of 6211

:

1,6211

Greatest Common Factor

We found the factors 537,6211 . The biggest common factor number is the GCF number.
So the greatest common factor 537,6211 is 1.

Lets's calculate LCM of 905,648

Lowest Common Multiple of 905,648 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 586440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586440

Therefore, the GCF of Fractions 537/905,6211/648 is 1/586440

Least Common Multiple of 905,648 with GCF Formula

Least Common Multiple of 905,648 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 905,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,648) = 1

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

GCF(905,648) x common factors =1 x 1 = 1

LCM(905,648) = ( 905 × 648 ) / 1

LCM(905,648) = 586440 / 1

LCM(905,648) = 586440


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FAQs on GCF of Fractions of 537/905, 6211/648

1. What is the HCF of 537,6211?

The HCF of 537,6211 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 537/905, 6211/648?

Answer: GCF of Numerators as per given numbers 537/905, 6211/648 is

GCF of Numerators i.e. for 537,6211 is 1

LCM of denominators i.e. for 905,648 is 586440.

Thus, GCF of Fractions is 1/586440.Finally, GCF of Fractions for 537/905, 6211/648 is 1/586440.