Greatest Common Factor of 918/14, 598/34, 382/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/14, 598/34, 382/554

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 918/14,598/34,382/554

Given fractions are 918/14,598/34,382/554

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 918,598,382

Greatest Common Factor of Numerators i.e. GCF of 918,598,382 is 2 .

LCM of Denominators means LCM of 14,34,554 as per the given fractions.

LCM of 14,34,554 is 65926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,598,382

GCF of Fractions 918/14,598/34,382/554 is 2/65926

2 918, 598, 382
459, 299, 191

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 918,598,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,598,382 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 918,598,382 . The biggest common factor number is the GCF number.
So the greatest common factor 918,598,382 is 2.

Lets's calculate LCM of 14,34,554

2 14, 34, 554
7, 17, 277

∴ So the LCM of the given numbers is 2 x 7 x 17 x 277 = 65926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65926

Therefore, the GCF of Fractions 918/14,598/34,382/554 is 2/65926

Least Common Multiple of 14,34,554 with GCF Formula

Least Common Multiple of 14,34,554 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 14,34,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,34,554) = 2

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

GCF(14,34,554) x common factors =2 x 2 = 4

LCM(14,34,554) = ( 14 × 34 × 554 ) / 4

LCM(14,34,554) = 263704 / 4

LCM(14,34,554) = 65926


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 918/14, 598/34, 382/554

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 918/14, 598/34, 382/554?

Answer: GCF of Numerators as per given numbers 918/14, 598/34, 382/554 is

GCF of Numerators i.e. for 918,598,382 is 2

LCM of denominators i.e. for 14,34,554 is 65926.

Thus, GCF of Fractions is 2/65926.Finally, GCF of Fractions for 918/14, 598/34, 382/554 is 2/65926.