How to Find GCF of 158/533, 1382/1441?

GCF of 158/533, 1382/1441

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 158/533, 1382/1441 i.e 2/768053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/533, 1382/1441.

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 158/533,1382/1441?

Given fractions are 158/533,1382/1441

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 158/533,1382/1441, numerators are 158,1382

Denominators are 533,1441

The GCF of 158,1382 is 2 .

LCM of 533,1441 is 768053.

The greatest common factor of 158/533,1382/1441 = [GCF of 158,1382]/[LCM of 533,1441]= 2/768053

Therefore, the GCF of 158/533,1382/1441 is 2/768053.

Greatest Common Factor of 158,1382

To find the highest common factor of 158,1382, we have to find the factors of both numbers and list the highest common factor.

The factors of 158 are 1, 2, 79, 158

The factors of 1382 are 1, 2, 691, 1382

The HCF of 158,1382 is 2.

Lets's calculate GCF of 158,1382

Greatest Common Factor (GCF) of 158,1382 By Common Division

2	158, 1382
	79, 691

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

Greatest Common Factor of 158,1382 By Matching Biggest Common Factor Method

Now, list down the factors of 158

1,2,79,158

Now, list down the factors of 1382

1,2,691,1382

Greatest Common Factor

We found the factors 158,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 158,1382 is 2.

Lets's calculate LCM of 533,1441

Lowest Common Multiple of 533,1441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 768053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768053

Therefore, the GCF of Fractions 158/533,1382/1441 is 2/768053

Least Common Multiple of 533,1441 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 533,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,1441) = 1

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

GCF(533,1441) x common factors =1 x 1 = 1

LCM(533,1441) = ( 533 × 1441 ) / 1

LCM(533,1441) = 768053 / 1

LCM(533,1441) = 768053

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FAQs on GCF of Fractions of 158/533, 1382/1441

1. What is the HCF of 158,1382?

The HCF of 158,1382 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 158/533, 1382/1441?

Answer: GCF of Numerators as per given numbers 158/533, 1382/1441 is

GCF of Numerators i.e. for 158,1382 is 2

LCM of denominators i.e. for 533,1441 is 768053.

Thus, GCF of Fractions is 2/768053.Finally, GCF of Fractions for 158/533, 1382/1441 is 2/768053.