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GCF of 5383/262, 1511/1349

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 5383/262, 1511/1349 i.e 1/353438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5383/262, 1511/1349.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5383/262,1511/1349?

Given fractions are 5383/262,1511/1349

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 5383/262,1511/1349, numerators are 5383,1511

Denominators are 262,1349

The GCF of 5383,1511 is 1 .

LCM of 262,1349 is 353438.

The greatest common factor of 5383/262,1511/1349 = [GCF of 5383,1511]/[LCM of 262,1349]= 1/353438

Therefore, the GCF of 5383/262,1511/1349 is 1/353438.

Greatest Common Factor of 5383,1511

To find the highest common factor of 5383,1511, we have to find the factors of both numbers and list the highest common factor.

The factors of 5383 are 1, 7, 769, 5383

The factors of 1511 are 1, 1511

The HCF of 5383,1511 is 1.

Lets's calculate GCF of 5383,1511

Greatest Common Factor (GCF) of 5383,1511 By Common Division

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

Greatest Common Factor of 5383,1511 By Matching Biggest Common Factor Method

Greatest Common Factor of 5383,1511 By Matching Biggest Common Factor Method

Now, list down the factors of 5383

:

1,7,769,5383

Now, list down the factors of 1511

:

1,1511

Greatest Common Factor

We found the factors 5383,1511 . The biggest common factor number is the GCF number.
So the greatest common factor 5383,1511 is 1.

Lets's calculate LCM of 262,1349

Lowest Common Multiple of 262,1349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 353438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353438

Therefore, the GCF of Fractions 5383/262,1511/1349 is 1/353438

Least Common Multiple of 262,1349 with GCF Formula

Least Common Multiple of 262,1349 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 262,1349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,1349) = 1

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

GCF(262,1349) x common factors =1 x 1 = 1

LCM(262,1349) = ( 262 × 1349 ) / 1

LCM(262,1349) = 353438 / 1

LCM(262,1349) = 353438


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FAQs on GCF of Fractions of 5383/262, 1511/1349

1. What is the HCF of 5383,1511?

The HCF of 5383,1511 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 5383/262, 1511/1349?

Answer: GCF of Numerators as per given numbers 5383/262, 1511/1349 is

GCF of Numerators i.e. for 5383,1511 is 1

LCM of denominators i.e. for 262,1349 is 353438.

Thus, GCF of Fractions is 1/353438.Finally, GCF of Fractions for 5383/262, 1511/1349 is 1/353438.