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GCF of 9439/719, 1427/6374

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 9439/719, 1427/6374 i.e 1/4582906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9439/719, 1427/6374.

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 9439/719,1427/6374?

Given fractions are 9439/719,1427/6374

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 9439/719,1427/6374, numerators are 9439,1427

Denominators are 719,6374

The GCF of 9439,1427 is 1 .

LCM of 719,6374 is 4582906.

The greatest common factor of 9439/719,1427/6374 = [GCF of 9439,1427]/[LCM of 719,6374]= 1/4582906

Therefore, the GCF of 9439/719,1427/6374 is 1/4582906.

Greatest Common Factor of 9439,1427

To find the highest common factor of 9439,1427, we have to find the factors of both numbers and list the highest common factor.

The factors of 9439 are 1, 9439

The factors of 1427 are 1, 1427

The HCF of 9439,1427 is 1.

Lets's calculate GCF of 9439,1427

Greatest Common Factor (GCF) of 9439,1427 By Common Division

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

Greatest Common Factor of 9439,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 9439,1427 By Matching Biggest Common Factor Method

Now, list down the factors of 9439

:

1,9439

Now, list down the factors of 1427

:

1,1427

Greatest Common Factor

We found the factors 9439,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 9439,1427 is 1.

Lets's calculate LCM of 719,6374

Lowest Common Multiple of 719,6374 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4582906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4582906

Therefore, the GCF of Fractions 9439/719,1427/6374 is 1/4582906

Least Common Multiple of 719,6374 with GCF Formula

Least Common Multiple of 719,6374 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 719,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,6374) = 1

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

GCF(719,6374) x common factors =1 x 1 = 1

LCM(719,6374) = ( 719 × 6374 ) / 1

LCM(719,6374) = 4582906 / 1

LCM(719,6374) = 4582906


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9439/719, 1427/6374

1. What is the HCF of 9439,1427?

The HCF of 9439,1427 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 9439/719, 1427/6374?

Answer: GCF of Numerators as per given numbers 9439/719, 1427/6374 is

GCF of Numerators i.e. for 9439,1427 is 1

LCM of denominators i.e. for 719,6374 is 4582906.

Thus, GCF of Fractions is 1/4582906.Finally, GCF of Fractions for 9439/719, 1427/6374 is 1/4582906.