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GCF of 7441/383, 6317/1883

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 7441/383, 6317/1883 i.e 1/721189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7441/383, 6317/1883.

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 7441/383,6317/1883?

Given fractions are 7441/383,6317/1883

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 7441/383,6317/1883, numerators are 7441,6317

Denominators are 383,1883

The GCF of 7441,6317 is 1 .

LCM of 383,1883 is 721189.

The greatest common factor of 7441/383,6317/1883 = [GCF of 7441,6317]/[LCM of 383,1883]= 1/721189

Therefore, the GCF of 7441/383,6317/1883 is 1/721189.

Greatest Common Factor of 7441,6317

To find the highest common factor of 7441,6317, we have to find the factors of both numbers and list the highest common factor.

The factors of 7441 are 1, 7, 1063, 7441

The factors of 6317 are 1, 6317

The HCF of 7441,6317 is 1.

Lets's calculate GCF of 7441,6317

Greatest Common Factor (GCF) of 7441,6317 By Common Division

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

Greatest Common Factor of 7441,6317 By Matching Biggest Common Factor Method

Greatest Common Factor of 7441,6317 By Matching Biggest Common Factor Method

Now, list down the factors of 7441

:

1,7,1063,7441

Now, list down the factors of 6317

:

1,6317

Greatest Common Factor

We found the factors 7441,6317 . The biggest common factor number is the GCF number.
So the greatest common factor 7441,6317 is 1.

Lets's calculate LCM of 383,1883

Lowest Common Multiple of 383,1883 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 721189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/721189

Therefore, the GCF of Fractions 7441/383,6317/1883 is 1/721189

Least Common Multiple of 383,1883 with GCF Formula

Least Common Multiple of 383,1883 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 383,1883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,1883) = 1

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

GCF(383,1883) x common factors =1 x 1 = 1

LCM(383,1883) = ( 383 × 1883 ) / 1

LCM(383,1883) = 721189 / 1

LCM(383,1883) = 721189


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FAQs on GCF of Fractions of 7441/383, 6317/1883

1. What is the HCF of 7441,6317?

The HCF of 7441,6317 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 7441/383, 6317/1883?

Answer: GCF of Numerators as per given numbers 7441/383, 6317/1883 is

GCF of Numerators i.e. for 7441,6317 is 1

LCM of denominators i.e. for 383,1883 is 721189.

Thus, GCF of Fractions is 1/721189.Finally, GCF of Fractions for 7441/383, 6317/1883 is 1/721189.