Greatest Common Factor of 34/14, 706/65, 862/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/14, 706/65, 862/514

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 34/14,706/65,862/514

Given fractions are 34/14,706/65,862/514

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 34,706,862

Greatest Common Factor of Numerators i.e. GCF of 34,706,862 is 2 .

LCM of Denominators means LCM of 14,65,514 as per the given fractions.

LCM of 14,65,514 is 233870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,706,862

GCF of Fractions 34/14,706/65,862/514 is 2/233870

2 34, 706, 862
17, 353, 431

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

Greatest Common Factor of 34,706,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,706,862 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 34,706,862 . The biggest common factor number is the GCF number.
So the greatest common factor 34,706,862 is 2.

Lets's calculate LCM of 14,65,514

2 14, 65, 514
7, 65, 257

∴ So the LCM of the given numbers is 2 x 7 x 65 x 257 = 233870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233870

Therefore, the GCF of Fractions 34/14,706/65,862/514 is 2/233870

Least Common Multiple of 14,65,514 with GCF Formula

Least Common Multiple of 14,65,514 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 14,65,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,65,514) = 1

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

GCF(14,65,514) x common factors =1 x 2 = 2

LCM(14,65,514) = ( 14 × 65 × 514 ) / 2

LCM(14,65,514) = 467740 / 2

LCM(14,65,514) = 233870


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 34/14, 706/65, 862/514

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 34/14, 706/65, 862/514?

Answer: GCF of Numerators as per given numbers 34/14, 706/65, 862/514 is

GCF of Numerators i.e. for 34,706,862 is 2

LCM of denominators i.e. for 14,65,514 is 233870.

Thus, GCF of Fractions is 2/233870.Finally, GCF of Fractions for 34/14, 706/65, 862/514 is 2/233870.