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 904/595, 8356/366

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 904/595, 8356/366 i.e 4/217770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/595, 8356/366.

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 904/595,8356/366?

Given fractions are 904/595,8356/366

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 904/595,8356/366, numerators are 904,8356

Denominators are 595,366

The GCF of 904,8356 is 4 .

LCM of 595,366 is 217770.

The greatest common factor of 904/595,8356/366 = [GCF of 904,8356]/[LCM of 595,366]= 4/217770

Therefore, the GCF of 904/595,8356/366 is 4/217770.

Greatest Common Factor of 904,8356

To find the highest common factor of 904,8356, we have to find the factors of both numbers and list the highest common factor.

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The factors of 8356 are 1, 2, 4, 2089, 4178, 8356

The HCF of 904,8356 is 4.

Lets's calculate GCF of 904,8356

Greatest Common Factor (GCF) of 904,8356 By Common Division

2 904, 8356
2 452, 4178
226, 2089

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 904,8356 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,8356 By Matching Biggest Common Factor Method

Now, list down the factors of 904

:

1,2,4,8,113,226,452,904

Now, list down the factors of 8356

:

1,2,4,2089,4178,8356

Greatest Common Factor

We found the factors 904,8356 . The biggest common factor number is the GCF number.
So the greatest common factor 904,8356 is 4.

Lets's calculate LCM of 595,366

Lowest Common Multiple of 595,366 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 217770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/217770

Therefore, the GCF of Fractions 904/595,8356/366 is 4/217770

Least Common Multiple of 595,366 with GCF Formula

Least Common Multiple of 595,366 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 595,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,366) = 1

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

GCF(595,366) x common factors =1 x 1 = 1

LCM(595,366) = ( 595 × 366 ) / 1

LCM(595,366) = 217770 / 1

LCM(595,366) = 217770


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 904/595, 8356/366

1. What is the HCF of 904,8356?

The HCF of 904,8356 is 4

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 904/595, 8356/366?

Answer: GCF of Numerators as per given numbers 904/595, 8356/366 is

GCF of Numerators i.e. for 904,8356 is 4

LCM of denominators i.e. for 595,366 is 217770.

Thus, GCF of Fractions is 4/217770.Finally, GCF of Fractions for 904/595, 8356/366 is 4/217770.