How to Find GCF of 3659/932, 7869/8424?

GCF of 3659/932, 7869/8424

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 3659/932, 7869/8424 i.e 1/1962792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3659/932, 7869/8424.

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 3659/932,7869/8424?

Given fractions are 3659/932,7869/8424

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 3659/932,7869/8424, numerators are 3659,7869

Denominators are 932,8424

The GCF of 3659,7869 is 1 .

LCM of 932,8424 is 1962792.

The greatest common factor of 3659/932,7869/8424 = [GCF of 3659,7869]/[LCM of 932,8424]= 1/1962792

Therefore, the GCF of 3659/932,7869/8424 is 1/1962792.

Greatest Common Factor of 3659,7869

To find the highest common factor of 3659,7869, we have to find the factors of both numbers and list the highest common factor.

The factors of 3659 are 1, 3659

The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869

The HCF of 3659,7869 is 1.

Lets's calculate GCF of 3659,7869

Greatest Common Factor (GCF) of 3659,7869 By Common Division

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

Greatest Common Factor of 3659,7869 By Matching Biggest Common Factor Method

Now, list down the factors of 3659

1,3659

Now, list down the factors of 7869

1,3,43,61,129,183,2623,7869

Greatest Common Factor

We found the factors 3659,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 3659,7869 is 1.

Lets's calculate LCM of 932,8424

Lowest Common Multiple of 932,8424 using Common Division

2	932, 8424
2	466, 4212
	233, 2106

∴ So the LCM of the given numbers is 2 x 2 x 233 x 2106 = 1962792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1962792

Therefore, the GCF of Fractions 3659/932,7869/8424 is 1/1962792

Least Common Multiple of 932,8424 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 932,8424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,8424) = 4

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

GCF(932,8424) x common factors =4 x 1 = 4

LCM(932,8424) = ( 932 × 8424 ) / 4

LCM(932,8424) = 7851168 / 4

LCM(932,8424) = 1962792

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3659/932, 7869/8424

1. What is the HCF of 3659,7869?

The HCF of 3659,7869 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 3659/932, 7869/8424?

Answer: GCF of Numerators as per given numbers 3659/932, 7869/8424 is

GCF of Numerators i.e. for 3659,7869 is 1

LCM of denominators i.e. for 932,8424 is 1962792.

Thus, GCF of Fractions is 1/1962792.Finally, GCF of Fractions for 3659/932, 7869/8424 is 1/1962792.