How to Find GCF of 3191/775, 4371/1022?

GCF of 3191/775, 4371/1022

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 3191/775, 4371/1022 i.e 1/792050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3191/775, 4371/1022.

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 3191/775,4371/1022?

Given fractions are 3191/775,4371/1022

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 3191/775,4371/1022, numerators are 3191,4371

Denominators are 775,1022

The GCF of 3191,4371 is 1 .

LCM of 775,1022 is 792050.

The greatest common factor of 3191/775,4371/1022 = [GCF of 3191,4371]/[LCM of 775,1022]= 1/792050

Therefore, the GCF of 3191/775,4371/1022 is 1/792050.

Greatest Common Factor of 3191,4371

To find the highest common factor of 3191,4371, we have to find the factors of both numbers and list the highest common factor.

The factors of 3191 are 1, 3191

The factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371

The HCF of 3191,4371 is 1.

Lets's calculate GCF of 3191,4371

Greatest Common Factor (GCF) of 3191,4371 By Common Division

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

Greatest Common Factor of 3191,4371 By Matching Biggest Common Factor Method

Now, list down the factors of 3191

1,3191

Now, list down the factors of 4371

1,3,31,47,93,141,1457,4371

Greatest Common Factor

We found the factors 3191,4371 . The biggest common factor number is the GCF number.
So the greatest common factor 3191,4371 is 1.

Lets's calculate LCM of 775,1022

Lowest Common Multiple of 775,1022 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 792050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792050

Therefore, the GCF of Fractions 3191/775,4371/1022 is 1/792050

Least Common Multiple of 775,1022 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 775,1022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,1022) = 1

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

GCF(775,1022) x common factors =1 x 1 = 1

LCM(775,1022) = ( 775 × 1022 ) / 1

LCM(775,1022) = 792050 / 1

LCM(775,1022) = 792050

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FAQs on GCF of Fractions of 3191/775, 4371/1022

1. What is the HCF of 3191,4371?

The HCF of 3191,4371 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 3191/775, 4371/1022?

Answer: GCF of Numerators as per given numbers 3191/775, 4371/1022 is

GCF of Numerators i.e. for 3191,4371 is 1

LCM of denominators i.e. for 775,1022 is 792050.

Thus, GCF of Fractions is 1/792050.Finally, GCF of Fractions for 3191/775, 4371/1022 is 1/792050.