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GCF of 545/64, 732/2932

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 545/64, 732/2932 i.e 1/46912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/64, 732/2932.

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 545/64,732/2932?

Given fractions are 545/64,732/2932

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 545/64,732/2932, numerators are 545,732

Denominators are 64,2932

The GCF of 545,732 is 1 .

LCM of 64,2932 is 46912.

The greatest common factor of 545/64,732/2932 = [GCF of 545,732]/[LCM of 64,2932]= 1/46912

Therefore, the GCF of 545/64,732/2932 is 1/46912.

Greatest Common Factor of 545,732

To find the highest common factor of 545,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 545 are 1, 5, 109, 545

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 545,732 is 1.

Lets's calculate GCF of 545,732

Greatest Common Factor (GCF) of 545,732 By Common Division

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

Greatest Common Factor of 545,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,732 By Matching Biggest Common Factor Method

Now, list down the factors of 545

:

1,5,109,545

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 545,732 . The biggest common factor number is the GCF number.
So the greatest common factor 545,732 is 1.

Lets's calculate LCM of 64,2932

Lowest Common Multiple of 64,2932 using Common Division

2 64, 2932
2 32, 1466
16, 733

∴ So the LCM of the given numbers is 2 x 2 x 16 x 733 = 46912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46912

Therefore, the GCF of Fractions 545/64,732/2932 is 1/46912

Least Common Multiple of 64,2932 with GCF Formula

Least Common Multiple of 64,2932 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 64,2932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,2932) = 4

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

GCF(64,2932) x common factors =4 x 1 = 4

LCM(64,2932) = ( 64 × 2932 ) / 4

LCM(64,2932) = 187648 / 4

LCM(64,2932) = 46912


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FAQs on GCF of Fractions of 545/64, 732/2932

1. What is the HCF of 545,732?

The HCF of 545,732 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 545/64, 732/2932?

Answer: GCF of Numerators as per given numbers 545/64, 732/2932 is

GCF of Numerators i.e. for 545,732 is 1

LCM of denominators i.e. for 64,2932 is 46912.

Thus, GCF of Fractions is 1/46912.Finally, GCF of Fractions for 545/64, 732/2932 is 1/46912.