LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 657/824, 269/904

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 657/824, 269/904 i.e 1/93112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/824, 269/904.

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 657/824,269/904?

Given fractions are 657/824,269/904

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 657/824,269/904, numerators are 657,269

Denominators are 824,904

The GCF of 657,269 is 1 .

LCM of 824,904 is 93112.

The greatest common factor of 657/824,269/904 = [GCF of 657,269]/[LCM of 824,904]= 1/93112

Therefore, the GCF of 657/824,269/904 is 1/93112.

Greatest Common Factor of 657,269

To find the highest common factor of 657,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 657 are 1, 3, 9, 73, 219, 657

The factors of 269 are 1, 269

The HCF of 657,269 is 1.

Lets's calculate GCF of 657,269

Greatest Common Factor (GCF) of 657,269 By Common Division

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

Greatest Common Factor of 657,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,269 By Matching Biggest Common Factor Method

Now, list down the factors of 657

:

1,3,9,73,219,657

Now, list down the factors of 269

:

1,269

Greatest Common Factor

We found the factors 657,269 . The biggest common factor number is the GCF number.
So the greatest common factor 657,269 is 1.

Lets's calculate LCM of 824,904

Lowest Common Multiple of 824,904 using Common Division

2 824, 904
2 412, 452
2 206, 226
103, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 113 = 93112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93112

Therefore, the GCF of Fractions 657/824,269/904 is 1/93112

Least Common Multiple of 824,904 with GCF Formula

Least Common Multiple of 824,904 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 824,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,904) = 8

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

GCF(824,904) x common factors =8 x 1 = 8

LCM(824,904) = ( 824 × 904 ) / 8

LCM(824,904) = 744896 / 8

LCM(824,904) = 93112


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 657/824, 269/904

1. What is the HCF of 657,269?

The HCF of 657,269 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 657/824, 269/904?

Answer: GCF of Numerators as per given numbers 657/824, 269/904 is

GCF of Numerators i.e. for 657,269 is 1

LCM of denominators i.e. for 824,904 is 93112.

Thus, GCF of Fractions is 1/93112.Finally, GCF of Fractions for 657/824, 269/904 is 1/93112.