How to Find GCF of 128/966, 408/682?

GCF of 128/966, 408/682

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 128/966, 408/682 i.e 8/329406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/966, 408/682.

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 128/966,408/682?

Given fractions are 128/966,408/682

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 128/966,408/682, numerators are 128,408

Denominators are 966,682

The GCF of 128,408 is 8 .

LCM of 966,682 is 329406.

The greatest common factor of 128/966,408/682 = [GCF of 128,408]/[LCM of 966,682]= 8/329406

Therefore, the GCF of 128/966,408/682 is 8/329406.

Greatest Common Factor of 128,408

To find the highest common factor of 128,408, we have to find the factors of both numbers and list the highest common factor.

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

The HCF of 128,408 is 8.

Lets's calculate GCF of 128,408

Greatest Common Factor (GCF) of 128,408 By Common Division

2	128, 408
2	64, 204
2	32, 102
	16, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 128,408 By Matching Biggest Common Factor Method

Now, list down the factors of 128

1,2,4,8,16,32,64,128

Now, list down the factors of 408

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 128,408 . The biggest common factor number is the GCF number.
So the greatest common factor 128,408 is 8.

Lets's calculate LCM of 966,682

Lowest Common Multiple of 966,682 using Common Division

2	966, 682
	483, 341

∴ So the LCM of the given numbers is 2 x 483 x 341 = 329406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/329406

Therefore, the GCF of Fractions 128/966,408/682 is 8/329406

Least Common Multiple of 966,682 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 966,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,682) = 2

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

GCF(966,682) x common factors =2 x 1 = 2

LCM(966,682) = ( 966 × 682 ) / 2

LCM(966,682) = 658812 / 2

LCM(966,682) = 329406

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 128/966, 408/682

1. What is the HCF of 128,408?

The HCF of 128,408 is 8

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 128/966, 408/682?

Answer: GCF of Numerators as per given numbers 128/966, 408/682 is

GCF of Numerators i.e. for 128,408 is 8

LCM of denominators i.e. for 966,682 is 329406.

Thus, GCF of Fractions is 8/329406.Finally, GCF of Fractions for 128/966, 408/682 is 8/329406.