Greatest Common Factor of 49/58, 68/19, 705/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/58, 68/19, 705/263

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 49/58,68/19,705/263

Given fractions are 49/58,68/19,705/263

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 49,68,705

Greatest Common Factor of Numerators i.e. GCF of 49,68,705 is 1 .

LCM of Denominators means LCM of 58,19,263 as per the given fractions.

LCM of 58,19,263 is 289826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,68,705

GCF of Fractions 49/58,68/19,705/263 is 1/289826

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

Greatest Common Factor of 49,68,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,68,705 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 49,68,705 . The biggest common factor number is the GCF number.
So the greatest common factor 49,68,705 is 1.

Lets's calculate LCM of 58,19,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 289826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289826

Therefore, the GCF of Fractions 49/58,68/19,705/263 is 1/289826

Least Common Multiple of 58,19,263 with GCF Formula

Least Common Multiple of 58,19,263 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 58,19,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,19,263) = 1

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

GCF(58,19,263) x common factors =1 x 1 = 1

LCM(58,19,263) = ( 58 × 19 × 263 ) / 1

LCM(58,19,263) = 289826 / 1

LCM(58,19,263) = 289826


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 49/58, 68/19, 705/263

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 49/58, 68/19, 705/263?

Answer: GCF of Numerators as per given numbers 49/58, 68/19, 705/263 is

GCF of Numerators i.e. for 49,68,705 is 1

LCM of denominators i.e. for 58,19,263 is 289826.

Thus, GCF of Fractions is 1/289826.Finally, GCF of Fractions for 49/58, 68/19, 705/263 is 1/289826.