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 288/784, 554/160

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 288/784, 554/160 i.e 2/7840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/784, 554/160.

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 288/784,554/160?

Given fractions are 288/784,554/160

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 288/784,554/160, numerators are 288,554

Denominators are 784,160

The GCF of 288,554 is 2 .

LCM of 784,160 is 7840.

The greatest common factor of 288/784,554/160 = [GCF of 288,554]/[LCM of 784,160]= 2/7840

Therefore, the GCF of 288/784,554/160 is 2/7840.

Greatest Common Factor of 288,554

To find the highest common factor of 288,554, we have to find the factors of both numbers and list the highest common factor.

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

The factors of 554 are 1, 2, 277, 554

The HCF of 288,554 is 2.

Lets's calculate GCF of 288,554

Greatest Common Factor (GCF) of 288,554 By Common Division

2 288, 554
144, 277

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

Greatest Common Factor of 288,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,554 By Matching Biggest Common Factor Method

Now, list down the factors of 288

:

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Now, list down the factors of 554

:

1,2,277,554

Greatest Common Factor

We found the factors 288,554 . The biggest common factor number is the GCF number.
So the greatest common factor 288,554 is 2.

Lets's calculate LCM of 784,160

Lowest Common Multiple of 784,160 using Common Division

2 784, 160
2 392, 80
2 196, 40
2 98, 20
49, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 10 = 7840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7840

Therefore, the GCF of Fractions 288/784,554/160 is 2/7840

Least Common Multiple of 784,160 with GCF Formula

Least Common Multiple of 784,160 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 784,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,160) = 16

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

GCF(784,160) x common factors =16 x 1 = 16

LCM(784,160) = ( 784 × 160 ) / 16

LCM(784,160) = 125440 / 16

LCM(784,160) = 7840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 288/784, 554/160

1. What is the HCF of 288,554?

The HCF of 288,554 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 288/784, 554/160?

Answer: GCF of Numerators as per given numbers 288/784, 554/160 is

GCF of Numerators i.e. for 288,554 is 2

LCM of denominators i.e. for 784,160 is 7840.

Thus, GCF of Fractions is 2/7840.Finally, GCF of Fractions for 288/784, 554/160 is 2/7840.