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GCF of 9442/319, 1406/6764

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 9442/319, 1406/6764 i.e 2/2157716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9442/319, 1406/6764.

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 9442/319,1406/6764?

Given fractions are 9442/319,1406/6764

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 9442/319,1406/6764, numerators are 9442,1406

Denominators are 319,6764

The GCF of 9442,1406 is 2 .

LCM of 319,6764 is 2157716.

The greatest common factor of 9442/319,1406/6764 = [GCF of 9442,1406]/[LCM of 319,6764]= 2/2157716

Therefore, the GCF of 9442/319,1406/6764 is 2/2157716.

Greatest Common Factor of 9442,1406

To find the highest common factor of 9442,1406, we have to find the factors of both numbers and list the highest common factor.

The factors of 9442 are 1, 2, 4721, 9442

The factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406

The HCF of 9442,1406 is 2.

Lets's calculate GCF of 9442,1406

Greatest Common Factor (GCF) of 9442,1406 By Common Division

2 9442, 1406
4721, 703

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9442,1406 By Matching Biggest Common Factor Method

Greatest Common Factor of 9442,1406 By Matching Biggest Common Factor Method

Now, list down the factors of 9442

:

1,2,4721,9442

Now, list down the factors of 1406

:

1,2,19,37,38,74,703,1406

Greatest Common Factor

We found the factors 9442,1406 . The biggest common factor number is the GCF number.
So the greatest common factor 9442,1406 is 2.


Lets's calculate LCM of 319,6764

Lowest Common Multiple of 319,6764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2157716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2157716

Therefore, the GCF of Fractions 9442/319,1406/6764 is 2/2157716

Least Common Multiple of 319,6764 with GCF Formula

Least Common Multiple of 319,6764 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 319,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,6764) = 1

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

GCF(319,6764) x common factors =1 x 1 = 1

LCM(319,6764) = ( 319 × 6764 ) / 1

LCM(319,6764) = 2157716 / 1

LCM(319,6764) = 2157716


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9442/319, 1406/6764

1. What is the HCF of 9442,1406?

The HCF of 9442,1406 is 2

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 9442/319, 1406/6764?

Answer: GCF of Numerators as per given numbers 9442/319, 1406/6764 is

GCF of Numerators i.e. for 9442,1406 is 2

LCM of denominators i.e. for 319,6764 is 2157716.

Thus, GCF of Fractions is 2/2157716.Finally, GCF of Fractions for 9442/319, 1406/6764 is 2/2157716.