How to Find GCF of 869/883, 8230/1440?

GCF of 869/883, 8230/1440

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 869/883, 8230/1440 i.e 1/1271520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/883, 8230/1440.

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 869/883,8230/1440?

Given fractions are 869/883,8230/1440

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 869/883,8230/1440, numerators are 869,8230

Denominators are 883,1440

The GCF of 869,8230 is 1 .

LCM of 883,1440 is 1271520.

The greatest common factor of 869/883,8230/1440 = [GCF of 869,8230]/[LCM of 883,1440]= 1/1271520

Therefore, the GCF of 869/883,8230/1440 is 1/1271520.

Greatest Common Factor of 869,8230

To find the highest common factor of 869,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 869 are 1, 11, 79, 869

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 869,8230 is 1.

Lets's calculate GCF of 869,8230

Greatest Common Factor (GCF) of 869,8230 By Common Division

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

Greatest Common Factor of 869,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 869

1,11,79,869

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 869,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 869,8230 is 1.

Lets's calculate LCM of 883,1440

Lowest Common Multiple of 883,1440 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1271520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1271520

Therefore, the GCF of Fractions 869/883,8230/1440 is 1/1271520

Least Common Multiple of 883,1440 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 883,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,1440) = 1

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

GCF(883,1440) x common factors =1 x 1 = 1

LCM(883,1440) = ( 883 × 1440 ) / 1

LCM(883,1440) = 1271520 / 1

LCM(883,1440) = 1271520

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FAQs on GCF of Fractions of 869/883, 8230/1440

1. What is the HCF of 869,8230?

The HCF of 869,8230 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 869/883, 8230/1440?

Answer: GCF of Numerators as per given numbers 869/883, 8230/1440 is

GCF of Numerators i.e. for 869,8230 is 1

LCM of denominators i.e. for 883,1440 is 1271520.

Thus, GCF of Fractions is 1/1271520.Finally, GCF of Fractions for 869/883, 8230/1440 is 1/1271520.