How to Find GCF of 2371/100, 8431/7831?

GCF of 2371/100, 8431/7831

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 2371/100, 8431/7831 i.e 1/783100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2371/100, 8431/7831.

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 2371/100,8431/7831?

Given fractions are 2371/100,8431/7831

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 2371/100,8431/7831, numerators are 2371,8431

Denominators are 100,7831

The GCF of 2371,8431 is 1 .

LCM of 100,7831 is 783100.

The greatest common factor of 2371/100,8431/7831 = [GCF of 2371,8431]/[LCM of 100,7831]= 1/783100

Therefore, the GCF of 2371/100,8431/7831 is 1/783100.

Greatest Common Factor of 2371,8431

To find the highest common factor of 2371,8431, we have to find the factors of both numbers and list the highest common factor.

The factors of 2371 are 1, 2371

The factors of 8431 are 1, 8431

The HCF of 2371,8431 is 1.

Lets's calculate GCF of 2371,8431

Greatest Common Factor (GCF) of 2371,8431 By Common Division

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

Greatest Common Factor of 2371,8431 By Matching Biggest Common Factor Method

Now, list down the factors of 2371

1,2371

Now, list down the factors of 8431

1,8431

Greatest Common Factor

We found the factors 2371,8431 . The biggest common factor number is the GCF number.
So the greatest common factor 2371,8431 is 1.

Lets's calculate LCM of 100,7831

Lowest Common Multiple of 100,7831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 783100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783100

Therefore, the GCF of Fractions 2371/100,8431/7831 is 1/783100

Least Common Multiple of 100,7831 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 100,7831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7831) = 1

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

GCF(100,7831) x common factors =1 x 1 = 1

LCM(100,7831) = ( 100 × 7831 ) / 1

LCM(100,7831) = 783100 / 1

LCM(100,7831) = 783100

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FAQs on GCF of Fractions of 2371/100, 8431/7831

1. What is the HCF of 2371,8431?

The HCF of 2371,8431 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 2371/100, 8431/7831?

Answer: GCF of Numerators as per given numbers 2371/100, 8431/7831 is

GCF of Numerators i.e. for 2371,8431 is 1

LCM of denominators i.e. for 100,7831 is 783100.

Thus, GCF of Fractions is 1/783100.Finally, GCF of Fractions for 2371/100, 8431/7831 is 1/783100.