How to Find GCF of 5434/255, 1570/1058?

GCF of 5434/255, 1570/1058

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 5434/255, 1570/1058 i.e 2/269790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5434/255, 1570/1058.

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 5434/255,1570/1058?

Given fractions are 5434/255,1570/1058

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 5434/255,1570/1058, numerators are 5434,1570

Denominators are 255,1058

The GCF of 5434,1570 is 2 .

LCM of 255,1058 is 269790.

The greatest common factor of 5434/255,1570/1058 = [GCF of 5434,1570]/[LCM of 255,1058]= 2/269790

Therefore, the GCF of 5434/255,1570/1058 is 2/269790.

Greatest Common Factor of 5434,1570

To find the highest common factor of 5434,1570, we have to find the factors of both numbers and list the highest common factor.

The factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434

The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570

The HCF of 5434,1570 is 2.

Lets's calculate GCF of 5434,1570

Greatest Common Factor (GCF) of 5434,1570 By Common Division

2	5434, 1570
	2717, 785

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5434,1570 By Matching Biggest Common Factor Method

Now, list down the factors of 5434

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Now, list down the factors of 1570

1,2,5,10,157,314,785,1570

Greatest Common Factor

We found the factors 5434,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 5434,1570 is 2.

Lets's calculate LCM of 255,1058

Lowest Common Multiple of 255,1058 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 269790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269790

Therefore, the GCF of Fractions 5434/255,1570/1058 is 2/269790

Least Common Multiple of 255,1058 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 255,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,1058) = 1

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

GCF(255,1058) x common factors =1 x 1 = 1

LCM(255,1058) = ( 255 × 1058 ) / 1

LCM(255,1058) = 269790 / 1

LCM(255,1058) = 269790

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5434/255, 1570/1058

1. What is the HCF of 5434,1570?

The HCF of 5434,1570 is 2

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 5434/255, 1570/1058?

Answer: GCF of Numerators as per given numbers 5434/255, 1570/1058 is

GCF of Numerators i.e. for 5434,1570 is 2

LCM of denominators i.e. for 255,1058 is 269790.

Thus, GCF of Fractions is 2/269790.Finally, GCF of Fractions for 5434/255, 1570/1058 is 2/269790.