Greatest Common Factor of 388/97, 448/85, 549/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/97, 448/85, 549/758

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 388/97,448/85,549/758

Given fractions are 388/97,448/85,549/758

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 388,448,549

Greatest Common Factor of Numerators i.e. GCF of 388,448,549 is 1 .

LCM of Denominators means LCM of 97,85,758 as per the given fractions.

LCM of 97,85,758 is 6249710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,448,549

GCF of Fractions 388/97,448/85,549/758 is 1/6249710

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

Greatest Common Factor of 388,448,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,448,549 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 388,448,549 . The biggest common factor number is the GCF number.
So the greatest common factor 388,448,549 is 1.

Lets's calculate LCM of 97,85,758

Given numbers has no common factors except 1. So, there LCM is their product i.e 6249710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6249710

Therefore, the GCF of Fractions 388/97,448/85,549/758 is 1/6249710

Least Common Multiple of 97,85,758 with GCF Formula

Least Common Multiple of 97,85,758 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 97,85,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,85,758) = 1

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

GCF(97,85,758) x common factors =1 x 1 = 1

LCM(97,85,758) = ( 97 × 85 × 758 ) / 1

LCM(97,85,758) = 6249710 / 1

LCM(97,85,758) = 6249710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 388/97, 448/85, 549/758

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 388/97, 448/85, 549/758?

Answer: GCF of Numerators as per given numbers 388/97, 448/85, 549/758 is

GCF of Numerators i.e. for 388,448,549 is 1

LCM of denominators i.e. for 97,85,758 is 6249710.

Thus, GCF of Fractions is 1/6249710.Finally, GCF of Fractions for 388/97, 448/85, 549/758 is 1/6249710.