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GCF of 823/97, 740/406

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 823/97, 740/406 i.e 1/39382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/97, 740/406.

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 823/97,740/406?

Given fractions are 823/97,740/406

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 823/97,740/406, numerators are 823,740

Denominators are 97,406

The GCF of 823,740 is 1 .

LCM of 97,406 is 39382.

The greatest common factor of 823/97,740/406 = [GCF of 823,740]/[LCM of 97,406]= 1/39382

Therefore, the GCF of 823/97,740/406 is 1/39382.

Greatest Common Factor of 823,740

To find the highest common factor of 823,740, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

The HCF of 823,740 is 1.

Lets's calculate GCF of 823,740

Greatest Common Factor (GCF) of 823,740 By Common Division

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

Greatest Common Factor of 823,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,740 By Matching Biggest Common Factor Method

Now, list down the factors of 823

:

1,823

Now, list down the factors of 740

:

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 823,740 . The biggest common factor number is the GCF number.
So the greatest common factor 823,740 is 1.

Lets's calculate LCM of 97,406

Lowest Common Multiple of 97,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 39382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39382

Therefore, the GCF of Fractions 823/97,740/406 is 1/39382

Least Common Multiple of 97,406 with GCF Formula

Least Common Multiple of 97,406 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 97,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,406) = 1

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

GCF(97,406) x common factors =1 x 1 = 1

LCM(97,406) = ( 97 × 406 ) / 1

LCM(97,406) = 39382 / 1

LCM(97,406) = 39382


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FAQs on GCF of Fractions of 823/97, 740/406

1. What is the HCF of 823,740?

The HCF of 823,740 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 823/97, 740/406?

Answer: GCF of Numerators as per given numbers 823/97, 740/406 is

GCF of Numerators i.e. for 823,740 is 1

LCM of denominators i.e. for 97,406 is 39382.

Thus, GCF of Fractions is 1/39382.Finally, GCF of Fractions for 823/97, 740/406 is 1/39382.