Greatest Common Factor of 67/447, 961/549, 290/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/447, 961/549, 290/503

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 67/447,961/549,290/503

Given fractions are 67/447,961/549,290/503

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 67,961,290

Greatest Common Factor of Numerators i.e. GCF of 67,961,290 is 1 .

LCM of Denominators means LCM of 447,549,503 as per the given fractions.

LCM of 447,549,503 is 41145903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,961,290

GCF of Fractions 67/447,961/549,290/503 is 1/41145903

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

Greatest Common Factor of 67,961,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,961,290 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 67,961,290 . The biggest common factor number is the GCF number.
So the greatest common factor 67,961,290 is 1.

Lets's calculate LCM of 447,549,503

3 447, 549, 503
149, 183, 503

∴ So the LCM of the given numbers is 3 x 149 x 183 x 503 = 41145903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41145903

Therefore, the GCF of Fractions 67/447,961/549,290/503 is 1/41145903

Least Common Multiple of 447,549,503 with GCF Formula

Least Common Multiple of 447,549,503 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 447,549,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,549,503) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(447,549,503) x common factors =1 x 3 = 3

LCM(447,549,503) = ( 447 × 549 × 503 ) / 3

LCM(447,549,503) = 123437709 / 3

LCM(447,549,503) = 41145903


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 67/447, 961/549, 290/503

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 67/447, 961/549, 290/503?

Answer: GCF of Numerators as per given numbers 67/447, 961/549, 290/503 is

GCF of Numerators i.e. for 67,961,290 is 1

LCM of denominators i.e. for 447,549,503 is 41145903.

Thus, GCF of Fractions is 1/41145903.Finally, GCF of Fractions for 67/447, 961/549, 290/503 is 1/41145903.