How to Find GCF of 791/790, 300/133?

GCF of 791/790, 300/133

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 791/790, 300/133 i.e 1/105070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/790, 300/133.

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 791/790,300/133?

Given fractions are 791/790,300/133

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 791/790,300/133, numerators are 791,300

Denominators are 790,133

The GCF of 791,300 is 1 .

LCM of 790,133 is 105070.

The greatest common factor of 791/790,300/133 = [GCF of 791,300]/[LCM of 790,133]= 1/105070

Therefore, the GCF of 791/790,300/133 is 1/105070.

Greatest Common Factor of 791,300

To find the highest common factor of 791,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 791 are 1, 7, 113, 791

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 791,300 is 1.

Lets's calculate GCF of 791,300

Greatest Common Factor (GCF) of 791,300 By Common Division

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

Greatest Common Factor of 791,300 By Matching Biggest Common Factor Method

Now, list down the factors of 791

1,7,113,791

Now, list down the factors of 300

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 791,300 . The biggest common factor number is the GCF number.
So the greatest common factor 791,300 is 1.

Lets's calculate LCM of 790,133

Lowest Common Multiple of 790,133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 105070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105070

Therefore, the GCF of Fractions 791/790,300/133 is 1/105070

Least Common Multiple of 790,133 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 790,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,133) = 1

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

GCF(790,133) x common factors =1 x 1 = 1

LCM(790,133) = ( 790 × 133 ) / 1

LCM(790,133) = 105070 / 1

LCM(790,133) = 105070

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FAQs on GCF of Fractions of 791/790, 300/133

1. What is the HCF of 791,300?

The HCF of 791,300 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 791/790, 300/133?

Answer: GCF of Numerators as per given numbers 791/790, 300/133 is

GCF of Numerators i.e. for 791,300 is 1

LCM of denominators i.e. for 790,133 is 105070.

Thus, GCF of Fractions is 1/105070.Finally, GCF of Fractions for 791/790, 300/133 is 1/105070.