LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 428/897, 682/779

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 428/897, 682/779 i.e 2/698763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 428/897, 682/779.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 428/897,682/779?

Given fractions are 428/897,682/779

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 428/897,682/779, numerators are 428,682

Denominators are 897,779

The GCF of 428,682 is 2 .

LCM of 897,779 is 698763.

The greatest common factor of 428/897,682/779 = [GCF of 428,682]/[LCM of 897,779]= 2/698763

Therefore, the GCF of 428/897,682/779 is 2/698763.

Greatest Common Factor of 428,682

To find the highest common factor of 428,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 428 are 1, 2, 4, 107, 214, 428

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 428,682 is 2.

Lets's calculate GCF of 428,682

Greatest Common Factor (GCF) of 428,682 By Common Division

2 428, 682
214, 341

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

Greatest Common Factor of 428,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,682 By Matching Biggest Common Factor Method

Now, list down the factors of 428

:

1,2,4,107,214,428

Now, list down the factors of 682

:

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 428,682 . The biggest common factor number is the GCF number.
So the greatest common factor 428,682 is 2.

Lets's calculate LCM of 897,779

Lowest Common Multiple of 897,779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 698763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/698763

Therefore, the GCF of Fractions 428/897,682/779 is 2/698763

Least Common Multiple of 897,779 with GCF Formula

Least Common Multiple of 897,779 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 897,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,779) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(897,779) x common factors =1 x 1 = 1

LCM(897,779) = ( 897 × 779 ) / 1

LCM(897,779) = 698763 / 1

LCM(897,779) = 698763


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 428/897, 682/779

1. What is the HCF of 428,682?

The HCF of 428,682 is 2

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 428/897, 682/779?

Answer: GCF of Numerators as per given numbers 428/897, 682/779 is

GCF of Numerators i.e. for 428,682 is 2

LCM of denominators i.e. for 897,779 is 698763.

Thus, GCF of Fractions is 2/698763.Finally, GCF of Fractions for 428/897, 682/779 is 2/698763.