How to Find GCF of 8267/139, 1648/9469?

GCF of 8267/139, 1648/9469

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 8267/139, 1648/9469 i.e 1/1316191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8267/139, 1648/9469.

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 8267/139,1648/9469?

Given fractions are 8267/139,1648/9469

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 8267/139,1648/9469, numerators are 8267,1648

Denominators are 139,9469

The GCF of 8267,1648 is 1 .

LCM of 139,9469 is 1316191.

The greatest common factor of 8267/139,1648/9469 = [GCF of 8267,1648]/[LCM of 139,9469]= 1/1316191

Therefore, the GCF of 8267/139,1648/9469 is 1/1316191.

Greatest Common Factor of 8267,1648

To find the highest common factor of 8267,1648, we have to find the factors of both numbers and list the highest common factor.

The factors of 8267 are 1, 7, 1181, 8267

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

The HCF of 8267,1648 is 1.

Lets's calculate GCF of 8267,1648

Greatest Common Factor (GCF) of 8267,1648 By Common Division

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

Greatest Common Factor of 8267,1648 By Matching Biggest Common Factor Method

Now, list down the factors of 8267

1,7,1181,8267

Now, list down the factors of 1648

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 8267,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 8267,1648 is 1.

Lets's calculate LCM of 139,9469

Lowest Common Multiple of 139,9469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316191

Therefore, the GCF of Fractions 8267/139,1648/9469 is 1/1316191

Least Common Multiple of 139,9469 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 139,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,9469) = 1

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

GCF(139,9469) x common factors =1 x 1 = 1

LCM(139,9469) = ( 139 × 9469 ) / 1

LCM(139,9469) = 1316191 / 1

LCM(139,9469) = 1316191

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FAQs on GCF of Fractions of 8267/139, 1648/9469

1. What is the HCF of 8267,1648?

The HCF of 8267,1648 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 8267/139, 1648/9469?

Answer: GCF of Numerators as per given numbers 8267/139, 1648/9469 is

GCF of Numerators i.e. for 8267,1648 is 1

LCM of denominators i.e. for 139,9469 is 1316191.

Thus, GCF of Fractions is 1/1316191.Finally, GCF of Fractions for 8267/139, 1648/9469 is 1/1316191.