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GCF of 869/34, 569/873

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 869/34, 569/873 i.e 1/29682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/34, 569/873.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 869/34,569/873?

Given fractions are 869/34,569/873

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 869/34,569/873, numerators are 869,569

Denominators are 34,873

The GCF of 869,569 is 1 .

LCM of 34,873 is 29682.

The greatest common factor of 869/34,569/873 = [GCF of 869,569]/[LCM of 34,873]= 1/29682

Therefore, the GCF of 869/34,569/873 is 1/29682.

Greatest Common Factor of 869,569

To find the highest common factor of 869,569, 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 569 are 1, 569

The HCF of 869,569 is 1.

Lets's calculate GCF of 869,569

Greatest Common Factor (GCF) of 869,569 By Common Division

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

Greatest Common Factor of 869,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,569 By Matching Biggest Common Factor Method

Now, list down the factors of 869

:

1,11,79,869

Now, list down the factors of 569

:

1,569

Greatest Common Factor

We found the factors 869,569 . The biggest common factor number is the GCF number.
So the greatest common factor 869,569 is 1.

Lets's calculate LCM of 34,873

Lowest Common Multiple of 34,873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29682

Therefore, the GCF of Fractions 869/34,569/873 is 1/29682

Least Common Multiple of 34,873 with GCF Formula

Least Common Multiple of 34,873 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,873) = 1

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

GCF(34,873) x common factors =1 x 1 = 1

LCM(34,873) = ( 34 × 873 ) / 1

LCM(34,873) = 29682 / 1

LCM(34,873) = 29682


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FAQs on GCF of Fractions of 869/34, 569/873

1. What is the HCF of 869,569?

The HCF of 869,569 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 869/34, 569/873?

Answer: GCF of Numerators as per given numbers 869/34, 569/873 is

GCF of Numerators i.e. for 869,569 is 1

LCM of denominators i.e. for 34,873 is 29682.

Thus, GCF of Fractions is 1/29682.Finally, GCF of Fractions for 869/34, 569/873 is 1/29682.