How to Find GCF of 1339/739, 8411/1154?

GCF of 1339/739, 8411/1154

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 1339/739, 8411/1154 i.e 13/852806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1339/739, 8411/1154.

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 1339/739,8411/1154?

Given fractions are 1339/739,8411/1154

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 1339/739,8411/1154, numerators are 1339,8411

Denominators are 739,1154

The GCF of 1339,8411 is 13 .

LCM of 739,1154 is 852806.

The greatest common factor of 1339/739,8411/1154 = [GCF of 1339,8411]/[LCM of 739,1154]= 13/852806

Therefore, the GCF of 1339/739,8411/1154 is 13/852806.

Greatest Common Factor of 1339,8411

To find the highest common factor of 1339,8411, we have to find the factors of both numbers and list the highest common factor.

The factors of 1339 are 1, 13, 103, 1339

The factors of 8411 are 1, 13, 647, 8411

The HCF of 1339,8411 is 13.

Lets's calculate GCF of 1339,8411

Greatest Common Factor (GCF) of 1339,8411 By Common Division

13	1339, 8411
	103, 647

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1339,8411 By Matching Biggest Common Factor Method

Now, list down the factors of 1339

1,13,103,1339

Now, list down the factors of 8411

1,13,647,8411

Greatest Common Factor

We found the factors 1339,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,8411 is 13.

Lets's calculate LCM of 739,1154

Lowest Common Multiple of 739,1154 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 852806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/852806

Therefore, the GCF of Fractions 1339/739,8411/1154 is 13/852806

Least Common Multiple of 739,1154 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 739,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,1154) = 1

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

GCF(739,1154) x common factors =1 x 1 = 1

LCM(739,1154) = ( 739 × 1154 ) / 1

LCM(739,1154) = 852806 / 1

LCM(739,1154) = 852806

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FAQs on GCF of Fractions of 1339/739, 8411/1154

1. What is the HCF of 1339,8411?

The HCF of 1339,8411 is 13

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 1339/739, 8411/1154?

Answer: GCF of Numerators as per given numbers 1339/739, 8411/1154 is

GCF of Numerators i.e. for 1339,8411 is 13

LCM of denominators i.e. for 739,1154 is 852806.

Thus, GCF of Fractions is 13/852806.Finally, GCF of Fractions for 1339/739, 8411/1154 is 13/852806.