Greatest Common Factor of 698/414, 105/727, 484/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 698/414, 105/727, 484/316

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 698/414,105/727,484/316

Given fractions are 698/414,105/727,484/316

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 698,105,484

Greatest Common Factor of Numerators i.e. GCF of 698,105,484 is 1 .

LCM of Denominators means LCM of 414,727,316 as per the given fractions.

LCM of 414,727,316 is 47554524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 698,105,484

GCF of Fractions 698/414,105/727,484/316 is 1/47554524

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

Greatest Common Factor of 698,105,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,105,484 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 698,105,484 . The biggest common factor number is the GCF number.
So the greatest common factor 698,105,484 is 1.

Lets's calculate LCM of 414,727,316

2 414, 727, 316
207, 727, 158

∴ So the LCM of the given numbers is 2 x 207 x 727 x 158 = 47554524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47554524

Therefore, the GCF of Fractions 698/414,105/727,484/316 is 1/47554524

Least Common Multiple of 414,727,316 with GCF Formula

Least Common Multiple of 414,727,316 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 414,727,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,727,316) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(414,727,316) x common factors =1 x 2 = 2

LCM(414,727,316) = ( 414 × 727 × 316 ) / 2

LCM(414,727,316) = 95109048 / 2

LCM(414,727,316) = 47554524


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 698/414, 105/727, 484/316

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 698/414, 105/727, 484/316?

Answer: GCF of Numerators as per given numbers 698/414, 105/727, 484/316 is

GCF of Numerators i.e. for 698,105,484 is 1

LCM of denominators i.e. for 414,727,316 is 47554524.

Thus, GCF of Fractions is 1/47554524.Finally, GCF of Fractions for 698/414, 105/727, 484/316 is 1/47554524.