How to Find GCF of 1069/560, 3733/6568?

GCF of 1069/560, 3733/6568

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 1069/560, 3733/6568 i.e 1/459760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1069/560, 3733/6568.

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 1069/560,3733/6568?

Given fractions are 1069/560,3733/6568

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 1069/560,3733/6568, numerators are 1069,3733

Denominators are 560,6568

The GCF of 1069,3733 is 1 .

LCM of 560,6568 is 459760.

The greatest common factor of 1069/560,3733/6568 = [GCF of 1069,3733]/[LCM of 560,6568]= 1/459760

Therefore, the GCF of 1069/560,3733/6568 is 1/459760.

Greatest Common Factor of 1069,3733

To find the highest common factor of 1069,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 1069 are 1, 1069

The factors of 3733 are 1, 3733

The HCF of 1069,3733 is 1.

Lets's calculate GCF of 1069,3733

Greatest Common Factor (GCF) of 1069,3733 By Common Division

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

Greatest Common Factor of 1069,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 1069

1,1069

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 1069,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 1069,3733 is 1.

Lets's calculate LCM of 560,6568

Lowest Common Multiple of 560,6568 using Common Division

2	560, 6568
2	280, 3284
2	140, 1642
	70, 821

∴ So the LCM of the given numbers is 2 x 2 x 2 x 70 x 821 = 459760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459760

Therefore, the GCF of Fractions 1069/560,3733/6568 is 1/459760

Least Common Multiple of 560,6568 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 560,6568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,6568) = 8

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

GCF(560,6568) x common factors =8 x 1 = 8

LCM(560,6568) = ( 560 × 6568 ) / 8

LCM(560,6568) = 3678080 / 8

LCM(560,6568) = 459760

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FAQs on GCF of Fractions of 1069/560, 3733/6568

1. What is the HCF of 1069,3733?

The HCF of 1069,3733 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 1069/560, 3733/6568?

Answer: GCF of Numerators as per given numbers 1069/560, 3733/6568 is

GCF of Numerators i.e. for 1069,3733 is 1

LCM of denominators i.e. for 560,6568 is 459760.

Thus, GCF of Fractions is 1/459760.Finally, GCF of Fractions for 1069/560, 3733/6568 is 1/459760.