How to Find GCF of 553/31, 918/1438?

GCF of 553/31, 918/1438

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 553/31, 918/1438 i.e 1/44578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/31, 918/1438.

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 553/31,918/1438?

Given fractions are 553/31,918/1438

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 553/31,918/1438, numerators are 553,918

Denominators are 31,1438

The GCF of 553,918 is 1 .

LCM of 31,1438 is 44578.

The greatest common factor of 553/31,918/1438 = [GCF of 553,918]/[LCM of 31,1438]= 1/44578

Therefore, the GCF of 553/31,918/1438 is 1/44578.

Greatest Common Factor of 553,918

To find the highest common factor of 553,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 553 are 1, 7, 79, 553

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 553,918 is 1.

Lets's calculate GCF of 553,918

Greatest Common Factor (GCF) of 553,918 By Common Division

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

Greatest Common Factor of 553,918 By Matching Biggest Common Factor Method

Now, list down the factors of 553

1,7,79,553

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 553,918 . The biggest common factor number is the GCF number.
So the greatest common factor 553,918 is 1.

Lets's calculate LCM of 31,1438

Lowest Common Multiple of 31,1438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44578

Therefore, the GCF of Fractions 553/31,918/1438 is 1/44578

Least Common Multiple of 31,1438 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 31,1438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,1438) = 1

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

GCF(31,1438) x common factors =1 x 1 = 1

LCM(31,1438) = ( 31 × 1438 ) / 1

LCM(31,1438) = 44578 / 1

LCM(31,1438) = 44578

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 553/31, 918/1438

1. What is the HCF of 553,918?

The HCF of 553,918 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 553/31, 918/1438?

Answer: GCF of Numerators as per given numbers 553/31, 918/1438 is

GCF of Numerators i.e. for 553,918 is 1

LCM of denominators i.e. for 31,1438 is 44578.

Thus, GCF of Fractions is 1/44578.Finally, GCF of Fractions for 553/31, 918/1438 is 1/44578.