How to Find GCF of 1567/290, 4026/2608?

GCF of 1567/290, 4026/2608

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 1567/290, 4026/2608 i.e 1/378160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1567/290, 4026/2608.

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 1567/290,4026/2608?

Given fractions are 1567/290,4026/2608

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 1567/290,4026/2608, numerators are 1567,4026

Denominators are 290,2608

The GCF of 1567,4026 is 1 .

LCM of 290,2608 is 378160.

The greatest common factor of 1567/290,4026/2608 = [GCF of 1567,4026]/[LCM of 290,2608]= 1/378160

Therefore, the GCF of 1567/290,4026/2608 is 1/378160.

Greatest Common Factor of 1567,4026

To find the highest common factor of 1567,4026, we have to find the factors of both numbers and list the highest common factor.

The factors of 1567 are 1, 1567

The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

The HCF of 1567,4026 is 1.

Lets's calculate GCF of 1567,4026

Greatest Common Factor (GCF) of 1567,4026 By Common Division

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

Greatest Common Factor of 1567,4026 By Matching Biggest Common Factor Method

Now, list down the factors of 1567

1,1567

Now, list down the factors of 4026

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Greatest Common Factor

We found the factors 1567,4026 . The biggest common factor number is the GCF number.
So the greatest common factor 1567,4026 is 1.

Lets's calculate LCM of 290,2608

Lowest Common Multiple of 290,2608 using Common Division

2	290, 2608
	145, 1304

∴ So the LCM of the given numbers is 2 x 145 x 1304 = 378160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378160

Therefore, the GCF of Fractions 1567/290,4026/2608 is 1/378160

Least Common Multiple of 290,2608 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 290,2608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,2608) = 2

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

GCF(290,2608) x common factors =2 x 1 = 2

LCM(290,2608) = ( 290 × 2608 ) / 2

LCM(290,2608) = 756320 / 2

LCM(290,2608) = 378160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1567/290, 4026/2608

1. What is the HCF of 1567,4026?

The HCF of 1567,4026 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 1567/290, 4026/2608?

Answer: GCF of Numerators as per given numbers 1567/290, 4026/2608 is

GCF of Numerators i.e. for 1567,4026 is 1

LCM of denominators i.e. for 290,2608 is 378160.

Thus, GCF of Fractions is 1/378160.Finally, GCF of Fractions for 1567/290, 4026/2608 is 1/378160.