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GCF of 9349/399, 6719/9739

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 9349/399, 6719/9739 i.e 1/3885861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9349/399, 6719/9739.

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 9349/399,6719/9739?

Given fractions are 9349/399,6719/9739

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 9349/399,6719/9739, numerators are 9349,6719

Denominators are 399,9739

The GCF of 9349,6719 is 1 .

LCM of 399,9739 is 3885861.

The greatest common factor of 9349/399,6719/9739 = [GCF of 9349,6719]/[LCM of 399,9739]= 1/3885861

Therefore, the GCF of 9349/399,6719/9739 is 1/3885861.

Greatest Common Factor of 9349,6719

To find the highest common factor of 9349,6719, we have to find the factors of both numbers and list the highest common factor.

The factors of 9349 are 1, 9349

The factors of 6719 are 1, 6719

The HCF of 9349,6719 is 1.

Lets's calculate GCF of 9349,6719

Greatest Common Factor (GCF) of 9349,6719 By Common Division

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

Greatest Common Factor of 9349,6719 By Matching Biggest Common Factor Method

Greatest Common Factor of 9349,6719 By Matching Biggest Common Factor Method

Now, list down the factors of 9349

:

1,9349

Now, list down the factors of 6719

:

1,6719

Greatest Common Factor

We found the factors 9349,6719 . The biggest common factor number is the GCF number.
So the greatest common factor 9349,6719 is 1.

Lets's calculate LCM of 399,9739

Lowest Common Multiple of 399,9739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3885861

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3885861

Therefore, the GCF of Fractions 9349/399,6719/9739 is 1/3885861

Least Common Multiple of 399,9739 with GCF Formula

Least Common Multiple of 399,9739 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 399,9739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,9739) = 1

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

GCF(399,9739) x common factors =1 x 1 = 1

LCM(399,9739) = ( 399 × 9739 ) / 1

LCM(399,9739) = 3885861 / 1

LCM(399,9739) = 3885861


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FAQs on GCF of Fractions of 9349/399, 6719/9739

1. What is the HCF of 9349,6719?

The HCF of 9349,6719 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 9349/399, 6719/9739?

Answer: GCF of Numerators as per given numbers 9349/399, 6719/9739 is

GCF of Numerators i.e. for 9349,6719 is 1

LCM of denominators i.e. for 399,9739 is 3885861.

Thus, GCF of Fractions is 1/3885861.Finally, GCF of Fractions for 9349/399, 6719/9739 is 1/3885861.