Greatest Common Factor of 417/42, 851/15, 838/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 417/42, 851/15, 838/48

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 417/42,851/15,838/48

Given fractions are 417/42,851/15,838/48

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 417,851,838

Greatest Common Factor of Numerators i.e. GCF of 417,851,838 is 1 .

LCM of Denominators means LCM of 42,15,48 as per the given fractions.

LCM of 42,15,48 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 417,851,838

GCF of Fractions 417/42,851/15,838/48 is 1/1680

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

Greatest Common Factor of 417,851,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,851,838 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 417,851,838 . The biggest common factor number is the GCF number.
So the greatest common factor 417,851,838 is 1.

Lets's calculate LCM of 42,15,48

2 42, 15, 48
3 21, 15, 24
7, 5, 8

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 8 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 417/42,851/15,838/48 is 1/1680

Least Common Multiple of 42,15,48 with GCF Formula

Least Common Multiple of 42,15,48 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 42,15,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,15,48) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(42,15,48) x common factors =3 x 6 = 18

LCM(42,15,48) = ( 42 × 15 × 48 ) / 18

LCM(42,15,48) = 30240 / 18

LCM(42,15,48) = 1680


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 417/42, 851/15, 838/48

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 417/42, 851/15, 838/48?

Answer: GCF of Numerators as per given numbers 417/42, 851/15, 838/48 is

GCF of Numerators i.e. for 417,851,838 is 1

LCM of denominators i.e. for 42,15,48 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 417/42, 851/15, 838/48 is 1/1680.