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GCF of 690/744, 410/226

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 690/744, 410/226 i.e 10/84072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/744, 410/226.

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 690/744,410/226?

Given fractions are 690/744,410/226

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 690/744,410/226, numerators are 690,410

Denominators are 744,226

The GCF of 690,410 is 10 .

LCM of 744,226 is 84072.

The greatest common factor of 690/744,410/226 = [GCF of 690,410]/[LCM of 744,226]= 10/84072

Therefore, the GCF of 690/744,410/226 is 10/84072.

Greatest Common Factor of 690,410

To find the highest common factor of 690,410, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The HCF of 690,410 is 10.

Lets's calculate GCF of 690,410

Greatest Common Factor (GCF) of 690,410 By Common Division

2 690, 410
5 345, 205
69, 41

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 690,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,410 By Matching Biggest Common Factor Method

Now, list down the factors of 690

:

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 410

:

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 690,410 . The biggest common factor number is the GCF number.
So the greatest common factor 690,410 is 10.

Lets's calculate LCM of 744,226

Lowest Common Multiple of 744,226 using Common Division

2 744, 226
372, 113

∴ So the LCM of the given numbers is 2 x 372 x 113 = 84072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/84072

Therefore, the GCF of Fractions 690/744,410/226 is 10/84072

Least Common Multiple of 744,226 with GCF Formula

Least Common Multiple of 744,226 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 744,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,226) = 2

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

GCF(744,226) x common factors =2 x 1 = 2

LCM(744,226) = ( 744 × 226 ) / 2

LCM(744,226) = 168144 / 2

LCM(744,226) = 84072


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FAQs on GCF of Fractions of 690/744, 410/226

1. What is the HCF of 690,410?

The HCF of 690,410 is 10

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 690/744, 410/226?

Answer: GCF of Numerators as per given numbers 690/744, 410/226 is

GCF of Numerators i.e. for 690,410 is 10

LCM of denominators i.e. for 744,226 is 84072.

Thus, GCF of Fractions is 10/84072.Finally, GCF of Fractions for 690/744, 410/226 is 10/84072.