How to Find GCF of 1361/569, 1564/6069?

GCF of 1361/569, 1564/6069

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 1361/569, 1564/6069 i.e 1/3453261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1361/569, 1564/6069.

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 1361/569,1564/6069?

Given fractions are 1361/569,1564/6069

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 1361/569,1564/6069, numerators are 1361,1564

Denominators are 569,6069

The GCF of 1361,1564 is 1 .

LCM of 569,6069 is 3453261.

The greatest common factor of 1361/569,1564/6069 = [GCF of 1361,1564]/[LCM of 569,6069]= 1/3453261

Therefore, the GCF of 1361/569,1564/6069 is 1/3453261.

Greatest Common Factor of 1361,1564

To find the highest common factor of 1361,1564, we have to find the factors of both numbers and list the highest common factor.

The factors of 1361 are 1, 1361

The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564

The HCF of 1361,1564 is 1.

Lets's calculate GCF of 1361,1564

Greatest Common Factor (GCF) of 1361,1564 By Common Division

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

Greatest Common Factor of 1361,1564 By Matching Biggest Common Factor Method

Now, list down the factors of 1361

1,1361

Now, list down the factors of 1564

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 1361,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 1361,1564 is 1.

Lets's calculate LCM of 569,6069

Lowest Common Multiple of 569,6069 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3453261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3453261

Therefore, the GCF of Fractions 1361/569,1564/6069 is 1/3453261

Least Common Multiple of 569,6069 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 569,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,6069) = 1

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

GCF(569,6069) x common factors =1 x 1 = 1

LCM(569,6069) = ( 569 × 6069 ) / 1

LCM(569,6069) = 3453261 / 1

LCM(569,6069) = 3453261

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FAQs on GCF of Fractions of 1361/569, 1564/6069

1. What is the HCF of 1361,1564?

The HCF of 1361,1564 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 1361/569, 1564/6069?

Answer: GCF of Numerators as per given numbers 1361/569, 1564/6069 is

GCF of Numerators i.e. for 1361,1564 is 1

LCM of denominators i.e. for 569,6069 is 3453261.

Thus, GCF of Fractions is 1/3453261.Finally, GCF of Fractions for 1361/569, 1564/6069 is 1/3453261.