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GCF of 776/453, 409/654

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 776/453, 409/654 i.e 1/98754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/453, 409/654.

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 776/453,409/654?

Given fractions are 776/453,409/654

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 776/453,409/654, numerators are 776,409

Denominators are 453,654

The GCF of 776,409 is 1 .

LCM of 453,654 is 98754.

The greatest common factor of 776/453,409/654 = [GCF of 776,409]/[LCM of 453,654]= 1/98754

Therefore, the GCF of 776/453,409/654 is 1/98754.

Greatest Common Factor of 776,409

To find the highest common factor of 776,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

The factors of 409 are 1, 409

The HCF of 776,409 is 1.

Lets's calculate GCF of 776,409

Greatest Common Factor (GCF) of 776,409 By Common Division

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

Greatest Common Factor of 776,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,409 By Matching Biggest Common Factor Method

Now, list down the factors of 776

:

1,2,4,8,97,194,388,776

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 776,409 . The biggest common factor number is the GCF number.
So the greatest common factor 776,409 is 1.

Lets's calculate LCM of 453,654

Lowest Common Multiple of 453,654 using Common Division

3 453, 654
151, 218

∴ So the LCM of the given numbers is 3 x 151 x 218 = 98754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98754

Therefore, the GCF of Fractions 776/453,409/654 is 1/98754

Least Common Multiple of 453,654 with GCF Formula

Least Common Multiple of 453,654 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 453,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,654) = 3

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

GCF(453,654) x common factors =3 x 1 = 3

LCM(453,654) = ( 453 × 654 ) / 3

LCM(453,654) = 296262 / 3

LCM(453,654) = 98754


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FAQs on GCF of Fractions of 776/453, 409/654

1. What is the HCF of 776,409?

The HCF of 776,409 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 776/453, 409/654?

Answer: GCF of Numerators as per given numbers 776/453, 409/654 is

GCF of Numerators i.e. for 776,409 is 1

LCM of denominators i.e. for 453,654 is 98754.

Thus, GCF of Fractions is 1/98754.Finally, GCF of Fractions for 776/453, 409/654 is 1/98754.