How to Find GCF of 371/91, 900/6074?

GCF of 371/91, 900/6074

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 371/91, 900/6074 i.e 1/552734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/91, 900/6074.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 371/91,900/6074?

Given fractions are 371/91,900/6074

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 371/91,900/6074, numerators are 371,900

Denominators are 91,6074

The GCF of 371,900 is 1 .

LCM of 91,6074 is 552734.

The greatest common factor of 371/91,900/6074 = [GCF of 371,900]/[LCM of 91,6074]= 1/552734

Therefore, the GCF of 371/91,900/6074 is 1/552734.

Greatest Common Factor of 371,900

To find the highest common factor of 371,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 371 are 1, 7, 53, 371

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 371,900 is 1.

Lets's calculate GCF of 371,900

Greatest Common Factor (GCF) of 371,900 By Common Division

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

Greatest Common Factor of 371,900 By Matching Biggest Common Factor Method

Now, list down the factors of 371

1,7,53,371

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 371,900 . The biggest common factor number is the GCF number.
So the greatest common factor 371,900 is 1.

Lets's calculate LCM of 91,6074

Lowest Common Multiple of 91,6074 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 552734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552734

Therefore, the GCF of Fractions 371/91,900/6074 is 1/552734

Least Common Multiple of 91,6074 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 91,6074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,6074) = 1

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

GCF(91,6074) x common factors =1 x 1 = 1

LCM(91,6074) = ( 91 × 6074 ) / 1

LCM(91,6074) = 552734 / 1

LCM(91,6074) = 552734

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FAQs on GCF of Fractions of 371/91, 900/6074

1. What is the HCF of 371,900?

The HCF of 371,900 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 371/91, 900/6074?

Answer: GCF of Numerators as per given numbers 371/91, 900/6074 is

GCF of Numerators i.e. for 371,900 is 1

LCM of denominators i.e. for 91,6074 is 552734.

Thus, GCF of Fractions is 1/552734.Finally, GCF of Fractions for 371/91, 900/6074 is 1/552734.