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GCF of 673/53, 677/296

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 673/53, 677/296 i.e 1/15688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/53, 677/296.

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 673/53,677/296?

Given fractions are 673/53,677/296

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 673/53,677/296, numerators are 673,677

Denominators are 53,296

The GCF of 673,677 is 1 .

LCM of 53,296 is 15688.

The greatest common factor of 673/53,677/296 = [GCF of 673,677]/[LCM of 53,296]= 1/15688

Therefore, the GCF of 673/53,677/296 is 1/15688.

Greatest Common Factor of 673,677

To find the highest common factor of 673,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 673 are 1, 673

The factors of 677 are 1, 677

The HCF of 673,677 is 1.

Lets's calculate GCF of 673,677

Greatest Common Factor (GCF) of 673,677 By Common Division

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

Greatest Common Factor of 673,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,677 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 677

:

1,677

Greatest Common Factor

We found the factors 673,677 . The biggest common factor number is the GCF number.
So the greatest common factor 673,677 is 1.

Lets's calculate LCM of 53,296

Lowest Common Multiple of 53,296 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15688

Therefore, the GCF of Fractions 673/53,677/296 is 1/15688

Least Common Multiple of 53,296 with GCF Formula

Least Common Multiple of 53,296 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 53,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,296) = 1

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

GCF(53,296) x common factors =1 x 1 = 1

LCM(53,296) = ( 53 × 296 ) / 1

LCM(53,296) = 15688 / 1

LCM(53,296) = 15688


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FAQs on GCF of Fractions of 673/53, 677/296

1. What is the HCF of 673,677?

The HCF of 673,677 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 673/53, 677/296?

Answer: GCF of Numerators as per given numbers 673/53, 677/296 is

GCF of Numerators i.e. for 673,677 is 1

LCM of denominators i.e. for 53,296 is 15688.

Thus, GCF of Fractions is 1/15688.Finally, GCF of Fractions for 673/53, 677/296 is 1/15688.