How to Find GCF of 4784/492, 3561/6412?

GCF of 4784/492, 3561/6412

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 4784/492, 3561/6412 i.e 1/788676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4784/492, 3561/6412.

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 4784/492,3561/6412?

Given fractions are 4784/492,3561/6412

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 4784/492,3561/6412, numerators are 4784,3561

Denominators are 492,6412

The GCF of 4784,3561 is 1 .

LCM of 492,6412 is 788676.

The greatest common factor of 4784/492,3561/6412 = [GCF of 4784,3561]/[LCM of 492,6412]= 1/788676

Therefore, the GCF of 4784/492,3561/6412 is 1/788676.

Greatest Common Factor of 4784,3561

To find the highest common factor of 4784,3561, we have to find the factors of both numbers and list the highest common factor.

The factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784

The factors of 3561 are 1, 3, 1187, 3561

The HCF of 4784,3561 is 1.

Lets's calculate GCF of 4784,3561

Greatest Common Factor (GCF) of 4784,3561 By Common Division

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

Greatest Common Factor of 4784,3561 By Matching Biggest Common Factor Method

Now, list down the factors of 4784

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Now, list down the factors of 3561

1,3,1187,3561

Greatest Common Factor

We found the factors 4784,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 4784,3561 is 1.

Lets's calculate LCM of 492,6412

Lowest Common Multiple of 492,6412 using Common Division

2	492, 6412
2	246, 3206
	123, 1603

∴ So the LCM of the given numbers is 2 x 2 x 123 x 1603 = 788676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/788676

Therefore, the GCF of Fractions 4784/492,3561/6412 is 1/788676

Least Common Multiple of 492,6412 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 492,6412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,6412) = 4

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

GCF(492,6412) x common factors =4 x 1 = 4

LCM(492,6412) = ( 492 × 6412 ) / 4

LCM(492,6412) = 3154704 / 4

LCM(492,6412) = 788676

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FAQs on GCF of Fractions of 4784/492, 3561/6412

1. What is the HCF of 4784,3561?

The HCF of 4784,3561 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 4784/492, 3561/6412?

Answer: GCF of Numerators as per given numbers 4784/492, 3561/6412 is

GCF of Numerators i.e. for 4784,3561 is 1

LCM of denominators i.e. for 492,6412 is 788676.

Thus, GCF of Fractions is 1/788676.Finally, GCF of Fractions for 4784/492, 3561/6412 is 1/788676.