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GCF of 3314/330, 9551/7278

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 3314/330, 9551/7278 i.e 1/400290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3314/330, 9551/7278.

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 3314/330,9551/7278?

Given fractions are 3314/330,9551/7278

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 3314/330,9551/7278, numerators are 3314,9551

Denominators are 330,7278

The GCF of 3314,9551 is 1 .

LCM of 330,7278 is 400290.

The greatest common factor of 3314/330,9551/7278 = [GCF of 3314,9551]/[LCM of 330,7278]= 1/400290

Therefore, the GCF of 3314/330,9551/7278 is 1/400290.

Greatest Common Factor of 3314,9551

To find the highest common factor of 3314,9551, we have to find the factors of both numbers and list the highest common factor.

The factors of 3314 are 1, 2, 1657, 3314

The factors of 9551 are 1, 9551

The HCF of 3314,9551 is 1.

Lets's calculate GCF of 3314,9551

Greatest Common Factor (GCF) of 3314,9551 By Common Division

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

Greatest Common Factor of 3314,9551 By Matching Biggest Common Factor Method

Greatest Common Factor of 3314,9551 By Matching Biggest Common Factor Method

Now, list down the factors of 3314

:

1,2,1657,3314

Now, list down the factors of 9551

:

1,9551

Greatest Common Factor

We found the factors 3314,9551 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,9551 is 1.

Lets's calculate LCM of 330,7278

Lowest Common Multiple of 330,7278 using Common Division

2 330, 7278
3 165, 3639
55, 1213

∴ So the LCM of the given numbers is 2 x 3 x 55 x 1213 = 400290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400290

Therefore, the GCF of Fractions 3314/330,9551/7278 is 1/400290

Least Common Multiple of 330,7278 with GCF Formula

Least Common Multiple of 330,7278 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 330,7278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,7278) = 6

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

GCF(330,7278) x common factors =6 x 1 = 6

LCM(330,7278) = ( 330 × 7278 ) / 6

LCM(330,7278) = 2401740 / 6

LCM(330,7278) = 400290


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3314/330, 9551/7278

1. What is the HCF of 3314,9551?

The HCF of 3314,9551 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 3314/330, 9551/7278?

Answer: GCF of Numerators as per given numbers 3314/330, 9551/7278 is

GCF of Numerators i.e. for 3314,9551 is 1

LCM of denominators i.e. for 330,7278 is 400290.

Thus, GCF of Fractions is 1/400290.Finally, GCF of Fractions for 3314/330, 9551/7278 is 1/400290.