Greatest Common Factor of 61/357, 725/569, 336/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/357, 725/569, 336/440

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 61/357,725/569,336/440

Given fractions are 61/357,725/569,336/440

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 61,725,336

Greatest Common Factor of Numerators i.e. GCF of 61,725,336 is 1 .

LCM of Denominators means LCM of 357,569,440 as per the given fractions.

LCM of 357,569,440 is 89378520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,725,336

GCF of Fractions 61/357,725/569,336/440 is 1/89378520

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

Greatest Common Factor of 61,725,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,725,336 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 61,725,336 . The biggest common factor number is the GCF number.
So the greatest common factor 61,725,336 is 1.

Lets's calculate LCM of 357,569,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 89378520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89378520

Therefore, the GCF of Fractions 61/357,725/569,336/440 is 1/89378520

Least Common Multiple of 357,569,440 with GCF Formula

Least Common Multiple of 357,569,440 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 357,569,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,569,440) = 1

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

GCF(357,569,440) x common factors =1 x 1 = 1

LCM(357,569,440) = ( 357 × 569 × 440 ) / 1

LCM(357,569,440) = 89378520 / 1

LCM(357,569,440) = 89378520


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 61/357, 725/569, 336/440

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 61/357, 725/569, 336/440?

Answer: GCF of Numerators as per given numbers 61/357, 725/569, 336/440 is

GCF of Numerators i.e. for 61,725,336 is 1

LCM of denominators i.e. for 357,569,440 is 89378520.

Thus, GCF of Fractions is 1/89378520.Finally, GCF of Fractions for 61/357, 725/569, 336/440 is 1/89378520.