Greatest Common Factor of 490/69, 775/25, 301/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/69, 775/25, 301/314

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 490/69,775/25,301/314

Given fractions are 490/69,775/25,301/314

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 490,775,301

Greatest Common Factor of Numerators i.e. GCF of 490,775,301 is 1 .

LCM of Denominators means LCM of 69,25,314 as per the given fractions.

LCM of 69,25,314 is 541650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,775,301

GCF of Fractions 490/69,775/25,301/314 is 1/541650

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

Greatest Common Factor of 490,775,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,775,301 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 490,775,301 . The biggest common factor number is the GCF number.
So the greatest common factor 490,775,301 is 1.

Lets's calculate LCM of 69,25,314

Given numbers has no common factors except 1. So, there LCM is their product i.e 541650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541650

Therefore, the GCF of Fractions 490/69,775/25,301/314 is 1/541650

Least Common Multiple of 69,25,314 with GCF Formula

Least Common Multiple of 69,25,314 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 69,25,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,25,314) = 1

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

GCF(69,25,314) x common factors =1 x 1 = 1

LCM(69,25,314) = ( 69 × 25 × 314 ) / 1

LCM(69,25,314) = 541650 / 1

LCM(69,25,314) = 541650


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 490/69, 775/25, 301/314

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 490/69, 775/25, 301/314?

Answer: GCF of Numerators as per given numbers 490/69, 775/25, 301/314 is

GCF of Numerators i.e. for 490,775,301 is 1

LCM of denominators i.e. for 69,25,314 is 541650.

Thus, GCF of Fractions is 1/541650.Finally, GCF of Fractions for 490/69, 775/25, 301/314 is 1/541650.