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GCF of 405/848, 2921/688

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 405/848, 2921/688 i.e 1/36464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 405/848, 2921/688.

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 405/848,2921/688?

Given fractions are 405/848,2921/688

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 405/848,2921/688, numerators are 405,2921

Denominators are 848,688

The GCF of 405,2921 is 1 .

LCM of 848,688 is 36464.

The greatest common factor of 405/848,2921/688 = [GCF of 405,2921]/[LCM of 848,688]= 1/36464

Therefore, the GCF of 405/848,2921/688 is 1/36464.

Greatest Common Factor of 405,2921

To find the highest common factor of 405,2921, we have to find the factors of both numbers and list the highest common factor.

The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

The factors of 2921 are 1, 23, 127, 2921

The HCF of 405,2921 is 1.

Lets's calculate GCF of 405,2921

Greatest Common Factor (GCF) of 405,2921 By Common Division

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

Greatest Common Factor of 405,2921 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,2921 By Matching Biggest Common Factor Method

Now, list down the factors of 405

:

1,3,5,9,15,27,45,81,135,405

Now, list down the factors of 2921

:

1,23,127,2921

Greatest Common Factor

We found the factors 405,2921 . The biggest common factor number is the GCF number.
So the greatest common factor 405,2921 is 1.

Lets's calculate LCM of 848,688

Lowest Common Multiple of 848,688 using Common Division

2 848, 688
2 424, 344
2 212, 172
2 106, 86
53, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 43 = 36464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36464

Therefore, the GCF of Fractions 405/848,2921/688 is 1/36464

Least Common Multiple of 848,688 with GCF Formula

Least Common Multiple of 848,688 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 848,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,688) = 16

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

GCF(848,688) x common factors =16 x 1 = 16

LCM(848,688) = ( 848 × 688 ) / 16

LCM(848,688) = 583424 / 16

LCM(848,688) = 36464


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FAQs on GCF of Fractions of 405/848, 2921/688

1. What is the HCF of 405,2921?

The HCF of 405,2921 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 405/848, 2921/688?

Answer: GCF of Numerators as per given numbers 405/848, 2921/688 is

GCF of Numerators i.e. for 405,2921 is 1

LCM of denominators i.e. for 848,688 is 36464.

Thus, GCF of Fractions is 1/36464.Finally, GCF of Fractions for 405/848, 2921/688 is 1/36464.