Greatest Common Factor of 488/570, 497/437, 826/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/570, 497/437, 826/762

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 488/570,497/437,826/762

Given fractions are 488/570,497/437,826/762

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 488,497,826

Greatest Common Factor of Numerators i.e. GCF of 488,497,826 is 1 .

LCM of Denominators means LCM of 570,437,762 as per the given fractions.

LCM of 570,437,762 is 1664970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,497,826

GCF of Fractions 488/570,497/437,826/762 is 1/1664970

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

Greatest Common Factor of 488,497,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,497,826 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 488,497,826 . The biggest common factor number is the GCF number.
So the greatest common factor 488,497,826 is 1.

Lets's calculate LCM of 570,437,762

2 570, 437, 762
3 285, 437, 381
19 95, 437, 127
5, 23, 127

∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 23 x 127 = 1664970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1664970

Therefore, the GCF of Fractions 488/570,497/437,826/762 is 1/1664970

Least Common Multiple of 570,437,762 with GCF Formula

Least Common Multiple of 570,437,762 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 570,437,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,437,762) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(570,437,762) x common factors =1 x 114 = 114

LCM(570,437,762) = ( 570 × 437 × 762 ) / 114

LCM(570,437,762) = 189806580 / 114

LCM(570,437,762) = 1664970


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 488/570, 497/437, 826/762

1. 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.

2. What is the GCF of Fractions for 488/570, 497/437, 826/762?

Answer: GCF of Numerators as per given numbers 488/570, 497/437, 826/762 is

GCF of Numerators i.e. for 488,497,826 is 1

LCM of denominators i.e. for 570,437,762 is 1664970.

Thus, GCF of Fractions is 1/1664970.Finally, GCF of Fractions for 488/570, 497/437, 826/762 is 1/1664970.