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GCF of 6947/220, 9249/667

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 6947/220, 9249/667 i.e 1/146740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6947/220, 9249/667.

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 6947/220,9249/667?

Given fractions are 6947/220,9249/667

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 6947/220,9249/667, numerators are 6947,9249

Denominators are 220,667

The GCF of 6947,9249 is 1 .

LCM of 220,667 is 146740.

The greatest common factor of 6947/220,9249/667 = [GCF of 6947,9249]/[LCM of 220,667]= 1/146740

Therefore, the GCF of 6947/220,9249/667 is 1/146740.

Greatest Common Factor of 6947,9249

To find the highest common factor of 6947,9249, we have to find the factors of both numbers and list the highest common factor.

The factors of 6947 are 1, 6947

The factors of 9249 are 1, 3, 3083, 9249

The HCF of 6947,9249 is 1.

Lets's calculate GCF of 6947,9249

Greatest Common Factor (GCF) of 6947,9249 By Common Division

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

Greatest Common Factor of 6947,9249 By Matching Biggest Common Factor Method

Greatest Common Factor of 6947,9249 By Matching Biggest Common Factor Method

Now, list down the factors of 6947

:

1,6947

Now, list down the factors of 9249

:

1,3,3083,9249

Greatest Common Factor

We found the factors 6947,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 6947,9249 is 1.

Lets's calculate LCM of 220,667

Lowest Common Multiple of 220,667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 146740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146740

Therefore, the GCF of Fractions 6947/220,9249/667 is 1/146740

Least Common Multiple of 220,667 with GCF Formula

Least Common Multiple of 220,667 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 220,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,667) = 1

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

GCF(220,667) x common factors =1 x 1 = 1

LCM(220,667) = ( 220 × 667 ) / 1

LCM(220,667) = 146740 / 1

LCM(220,667) = 146740


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FAQs on GCF of Fractions of 6947/220, 9249/667

1. What is the HCF of 6947,9249?

The HCF of 6947,9249 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 6947/220, 9249/667?

Answer: GCF of Numerators as per given numbers 6947/220, 9249/667 is

GCF of Numerators i.e. for 6947,9249 is 1

LCM of denominators i.e. for 220,667 is 146740.

Thus, GCF of Fractions is 1/146740.Finally, GCF of Fractions for 6947/220, 9249/667 is 1/146740.