How to Find GCF of 8261/379, 7469/870?

GCF of 8261/379, 7469/870

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 8261/379, 7469/870 i.e 11/329730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8261/379, 7469/870.

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 8261/379,7469/870?

Given fractions are 8261/379,7469/870

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 8261/379,7469/870, numerators are 8261,7469

Denominators are 379,870

The GCF of 8261,7469 is 11 .

LCM of 379,870 is 329730.

The greatest common factor of 8261/379,7469/870 = [GCF of 8261,7469]/[LCM of 379,870]= 11/329730

Therefore, the GCF of 8261/379,7469/870 is 11/329730.

Greatest Common Factor of 8261,7469

To find the highest common factor of 8261,7469, we have to find the factors of both numbers and list the highest common factor.

The factors of 8261 are 1, 11, 751, 8261

The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469

The HCF of 8261,7469 is 11.

Lets's calculate GCF of 8261,7469

Greatest Common Factor (GCF) of 8261,7469 By Common Division

11	8261, 7469
	751, 679

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8261,7469 By Matching Biggest Common Factor Method

Now, list down the factors of 8261

1,11,751,8261

Now, list down the factors of 7469

1,7,11,77,97,679,1067,7469

Greatest Common Factor

We found the factors 8261,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,7469 is 11.

Lets's calculate LCM of 379,870

Lowest Common Multiple of 379,870 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/329730

Therefore, the GCF of Fractions 8261/379,7469/870 is 11/329730

Least Common Multiple of 379,870 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 379,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,870) = 1

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

GCF(379,870) x common factors =1 x 1 = 1

LCM(379,870) = ( 379 × 870 ) / 1

LCM(379,870) = 329730 / 1

LCM(379,870) = 329730

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8261/379, 7469/870

1. What is the HCF of 8261,7469?

The HCF of 8261,7469 is 11

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 8261/379, 7469/870?

Answer: GCF of Numerators as per given numbers 8261/379, 7469/870 is

GCF of Numerators i.e. for 8261,7469 is 11

LCM of denominators i.e. for 379,870 is 329730.

Thus, GCF of Fractions is 11/329730.Finally, GCF of Fractions for 8261/379, 7469/870 is 11/329730.