Greatest Common Factor of 278/31, 382/98, 497/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/31, 382/98, 497/35

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 278/31,382/98,497/35

Given fractions are 278/31,382/98,497/35

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 278,382,497

Greatest Common Factor of Numerators i.e. GCF of 278,382,497 is 1 .

LCM of Denominators means LCM of 31,98,35 as per the given fractions.

LCM of 31,98,35 is 15190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,382,497

GCF of Fractions 278/31,382/98,497/35 is 1/15190

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

Greatest Common Factor of 278,382,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,382,497 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 382

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

1,2,191,382

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 278,382,497 . The biggest common factor number is the GCF number.
So the greatest common factor 278,382,497 is 1.

Lets's calculate LCM of 31,98,35

7 31, 98, 35
31, 14, 5

∴ So the LCM of the given numbers is 7 x 31 x 14 x 5 = 15190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15190

Therefore, the GCF of Fractions 278/31,382/98,497/35 is 1/15190

Least Common Multiple of 31,98,35 with GCF Formula

Least Common Multiple of 31,98,35 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 31,98,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,98,35) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,98,35) x common factors =1 x 7 = 7

LCM(31,98,35) = ( 31 × 98 × 35 ) / 7

LCM(31,98,35) = 106330 / 7

LCM(31,98,35) = 15190


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 278/31, 382/98, 497/35

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 278/31, 382/98, 497/35?

Answer: GCF of Numerators as per given numbers 278/31, 382/98, 497/35 is

GCF of Numerators i.e. for 278,382,497 is 1

LCM of denominators i.e. for 31,98,35 is 15190.

Thus, GCF of Fractions is 1/15190.Finally, GCF of Fractions for 278/31, 382/98, 497/35 is 1/15190.