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 928/800, 3107/2237

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 928/800, 3107/2237 i.e 1/1789600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/800, 3107/2237.

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 928/800,3107/2237?

Given fractions are 928/800,3107/2237

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 928/800,3107/2237, numerators are 928,3107

Denominators are 800,2237

The GCF of 928,3107 is 1 .

LCM of 800,2237 is 1789600.

The greatest common factor of 928/800,3107/2237 = [GCF of 928,3107]/[LCM of 800,2237]= 1/1789600

Therefore, the GCF of 928/800,3107/2237 is 1/1789600.

Greatest Common Factor of 928,3107

To find the highest common factor of 928,3107, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 3107 are 1, 13, 239, 3107

The HCF of 928,3107 is 1.

Lets's calculate GCF of 928,3107

Greatest Common Factor (GCF) of 928,3107 By Common Division

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

Greatest Common Factor of 928,3107 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,3107 By Matching Biggest Common Factor Method

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 3107

:

1,13,239,3107

Greatest Common Factor

We found the factors 928,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 928,3107 is 1.


Lets's calculate LCM of 800,2237

Lowest Common Multiple of 800,2237 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1789600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1789600

Therefore, the GCF of Fractions 928/800,3107/2237 is 1/1789600

Least Common Multiple of 800,2237 with GCF Formula

Least Common Multiple of 800,2237 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 800,2237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,2237) = 1

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

GCF(800,2237) x common factors =1 x 1 = 1

LCM(800,2237) = ( 800 × 2237 ) / 1

LCM(800,2237) = 1789600 / 1

LCM(800,2237) = 1789600


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 928/800, 3107/2237

1. What is the HCF of 928,3107?

The HCF of 928,3107 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 928/800, 3107/2237?

Answer: GCF of Numerators as per given numbers 928/800, 3107/2237 is

GCF of Numerators i.e. for 928,3107 is 1

LCM of denominators i.e. for 800,2237 is 1789600.

Thus, GCF of Fractions is 1/1789600.Finally, GCF of Fractions for 928/800, 3107/2237 is 1/1789600.