How to Find GCF of 7267/667, 7683/453?

GCF of 7267/667, 7683/453

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 7267/667, 7683/453 i.e 13/302151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7267/667, 7683/453.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7267/667,7683/453?

Given fractions are 7267/667,7683/453

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 7267/667,7683/453, numerators are 7267,7683

Denominators are 667,453

The GCF of 7267,7683 is 13 .

LCM of 667,453 is 302151.

The greatest common factor of 7267/667,7683/453 = [GCF of 7267,7683]/[LCM of 667,453]= 13/302151

Therefore, the GCF of 7267/667,7683/453 is 13/302151.

Greatest Common Factor of 7267,7683

To find the highest common factor of 7267,7683, we have to find the factors of both numbers and list the highest common factor.

The factors of 7267 are 1, 13, 43, 169, 559, 7267

The factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683

The HCF of 7267,7683 is 13.

Lets's calculate GCF of 7267,7683

Greatest Common Factor (GCF) of 7267,7683 By Common Division

13	7267, 7683
	559, 591

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7267,7683 By Matching Biggest Common Factor Method

Now, list down the factors of 7267

1,13,43,169,559,7267

Now, list down the factors of 7683

1,3,13,39,197,591,2561,7683

Greatest Common Factor

We found the factors 7267,7683 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,7683 is 13.

Lets's calculate LCM of 667,453

Lowest Common Multiple of 667,453 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 302151

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/302151

Therefore, the GCF of Fractions 7267/667,7683/453 is 13/302151

Least Common Multiple of 667,453 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 667,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,453) = 1

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

GCF(667,453) x common factors =1 x 1 = 1

LCM(667,453) = ( 667 × 453 ) / 1

LCM(667,453) = 302151 / 1

LCM(667,453) = 302151

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FAQs on GCF of Fractions of 7267/667, 7683/453

1. What is the HCF of 7267,7683?

The HCF of 7267,7683 is 13

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 7267/667, 7683/453?

Answer: GCF of Numerators as per given numbers 7267/667, 7683/453 is

GCF of Numerators i.e. for 7267,7683 is 13

LCM of denominators i.e. for 667,453 is 302151.

Thus, GCF of Fractions is 13/302151.Finally, GCF of Fractions for 7267/667, 7683/453 is 13/302151.