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 353/25, 856/3224

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 353/25, 856/3224 i.e 1/80600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/25, 856/3224.

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 353/25,856/3224?

Given fractions are 353/25,856/3224

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 353/25,856/3224, numerators are 353,856

Denominators are 25,3224

The GCF of 353,856 is 1 .

LCM of 25,3224 is 80600.

The greatest common factor of 353/25,856/3224 = [GCF of 353,856]/[LCM of 25,3224]= 1/80600

Therefore, the GCF of 353/25,856/3224 is 1/80600.

Greatest Common Factor of 353,856

To find the highest common factor of 353,856, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 353,856 is 1.

Lets's calculate GCF of 353,856

Greatest Common Factor (GCF) of 353,856 By Common Division

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

Greatest Common Factor of 353,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,856 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 856

:

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 353,856 . The biggest common factor number is the GCF number.
So the greatest common factor 353,856 is 1.

Lets's calculate LCM of 25,3224

Lowest Common Multiple of 25,3224 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 80600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80600

Therefore, the GCF of Fractions 353/25,856/3224 is 1/80600

Least Common Multiple of 25,3224 with GCF Formula

Least Common Multiple of 25,3224 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 25,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,3224) = 1

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

GCF(25,3224) x common factors =1 x 1 = 1

LCM(25,3224) = ( 25 × 3224 ) / 1

LCM(25,3224) = 80600 / 1

LCM(25,3224) = 80600


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 353/25, 856/3224

1. What is the HCF of 353,856?

The HCF of 353,856 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 353/25, 856/3224?

Answer: GCF of Numerators as per given numbers 353/25, 856/3224 is

GCF of Numerators i.e. for 353,856 is 1

LCM of denominators i.e. for 25,3224 is 80600.

Thus, GCF of Fractions is 1/80600.Finally, GCF of Fractions for 353/25, 856/3224 is 1/80600.