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 410/352, 276/768

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 410/352, 276/768 i.e 2/8448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/352, 276/768.

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 410/352,276/768?

Given fractions are 410/352,276/768

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 410/352,276/768, numerators are 410,276

Denominators are 352,768

The GCF of 410,276 is 2 .

LCM of 352,768 is 8448.

The greatest common factor of 410/352,276/768 = [GCF of 410,276]/[LCM of 352,768]= 2/8448

Therefore, the GCF of 410/352,276/768 is 2/8448.

Greatest Common Factor of 410,276

To find the highest common factor of 410,276, we have to find the factors of both numbers and list the highest common factor.

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The HCF of 410,276 is 2.

Lets's calculate GCF of 410,276

Greatest Common Factor (GCF) of 410,276 By Common Division

2 410, 276
205, 138

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

Greatest Common Factor of 410,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,276 By Matching Biggest Common Factor Method

Now, list down the factors of 410

:

1,2,5,10,41,82,205,410

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 410,276 . The biggest common factor number is the GCF number.
So the greatest common factor 410,276 is 2.

Lets's calculate LCM of 352,768

Lowest Common Multiple of 352,768 using Common Division

2 352, 768
2 176, 384
2 88, 192
2 44, 96
2 22, 48
11, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 24 = 8448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8448

Therefore, the GCF of Fractions 410/352,276/768 is 2/8448

Least Common Multiple of 352,768 with GCF Formula

Least Common Multiple of 352,768 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 352,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,768) = 32

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

GCF(352,768) x common factors =32 x 1 = 32

LCM(352,768) = ( 352 × 768 ) / 32

LCM(352,768) = 270336 / 32

LCM(352,768) = 8448


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 410/352, 276/768

1. What is the HCF of 410,276?

The HCF of 410,276 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 410/352, 276/768?

Answer: GCF of Numerators as per given numbers 410/352, 276/768 is

GCF of Numerators i.e. for 410,276 is 2

LCM of denominators i.e. for 352,768 is 8448.

Thus, GCF of Fractions is 2/8448.Finally, GCF of Fractions for 410/352, 276/768 is 2/8448.