How to Find GCF of 857/992, 834/310, 826/454?

GCF of 857/992, 834/310, 826/454

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 857/992, 834/310, 826/454 i.e 1/1125920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/992, 834/310, 826/454.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 857/992,834/310,826/454?

Given fractions are 857/992,834/310,826/454

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 857/992,834/310,826/454, numerators are 857,834,826

Denominators are 992,310,454

The GCF of 857,834,826 is 1 .

LCM of 992,310,454 is 1125920.

The greatest common factor of 857/992,834/310,826/454 = [GCF of 857,834,826]/[LCM of 992,310,454]= 1/1125920

Therefore, the GCF of 857/992,834/310,826/454 is 1/1125920.

Greatest Common Factor of 857,834,826

To find the highest common factor of 857,834,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 857 are 1, 857

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 857,834,826 is 1.

Lets's calculate GCF of 857,834,826

Greatest Common Factor (GCF) of 857,834,826 By Common Division

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

Greatest Common Factor of 857,834,826 By Matching Biggest Common Factor Method

Now, list down the factors of 857

1,857

Now, list down the factors of 834

1,2,3,6,139,278,417,834

Now, list down the factors of 826

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 857,834,826 . The biggest common factor number is the GCF number.
So the greatest common factor 857,834,826 is 1.

Lets's calculate LCM of 992,310,454

Lowest Common Multiple of 992,310,454 using Common Division

2	992, 310, 454
31	496, 155, 227
	16, 5, 227

∴ So the LCM of the given numbers is 2 x 31 x 16 x 5 x 227 = 1125920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125920

Therefore, the GCF of Fractions 857/992,834/310,826/454 is 1/1125920

Least Common Multiple of 992,310,454 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,310,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,310,454) = 2

common factors(in case of two or more numbers have common factors) = 62

GCF(992,310,454) x common factors =2 x 62 = 124

LCM(992,310,454) = ( 992 × 310 × 454 ) / 124

LCM(992,310,454) = 139614080 / 124

LCM(992,310,454) = 1125920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 857/992, 834/310, 826/454

1. What is the HCF of 857,834,826?

The HCF of 857,834,826 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 857/992, 834/310, 826/454?

Answer: GCF of Numerators as per given numbers 857/992, 834/310, 826/454 is

GCF of Numerators i.e. for 857,834,826 is 1

LCM of denominators i.e. for 992,310,454 is 1125920.

Thus, GCF of Fractions is 1/1125920.Finally, GCF of Fractions for 857/992, 834/310, 826/454 is 1/1125920.