How to Find GCF of 971/83, 870/923?

GCF of 971/83, 870/923

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 971/83, 870/923 i.e 1/76609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/83, 870/923.

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 971/83,870/923?

Given fractions are 971/83,870/923

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 971/83,870/923, numerators are 971,870

Denominators are 83,923

The GCF of 971,870 is 1 .

LCM of 83,923 is 76609.

The greatest common factor of 971/83,870/923 = [GCF of 971,870]/[LCM of 83,923]= 1/76609

Therefore, the GCF of 971/83,870/923 is 1/76609.

Greatest Common Factor of 971,870

To find the highest common factor of 971,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 971 are 1, 971

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 971,870 is 1.

Lets's calculate GCF of 971,870

Greatest Common Factor (GCF) of 971,870 By Common Division

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

Greatest Common Factor of 971,870 By Matching Biggest Common Factor Method

Now, list down the factors of 971

1,971

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 971,870 . The biggest common factor number is the GCF number.
So the greatest common factor 971,870 is 1.

Lets's calculate LCM of 83,923

Lowest Common Multiple of 83,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76609

Therefore, the GCF of Fractions 971/83,870/923 is 1/76609

Least Common Multiple of 83,923 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 83,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,923) = 1

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

GCF(83,923) x common factors =1 x 1 = 1

LCM(83,923) = ( 83 × 923 ) / 1

LCM(83,923) = 76609 / 1

LCM(83,923) = 76609

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FAQs on GCF of Fractions of 971/83, 870/923

1. What is the HCF of 971,870?

The HCF of 971,870 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 971/83, 870/923?

Answer: GCF of Numerators as per given numbers 971/83, 870/923 is

GCF of Numerators i.e. for 971,870 is 1

LCM of denominators i.e. for 83,923 is 76609.

Thus, GCF of Fractions is 1/76609.Finally, GCF of Fractions for 971/83, 870/923 is 1/76609.