How to Find GCF of 7477/680, 1683/1828?

GCF of 7477/680, 1683/1828

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 7477/680, 1683/1828 i.e 1/310760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7477/680, 1683/1828.

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 7477/680,1683/1828?

Given fractions are 7477/680,1683/1828

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 7477/680,1683/1828, numerators are 7477,1683

Denominators are 680,1828

The GCF of 7477,1683 is 1 .

LCM of 680,1828 is 310760.

The greatest common factor of 7477/680,1683/1828 = [GCF of 7477,1683]/[LCM of 680,1828]= 1/310760

Therefore, the GCF of 7477/680,1683/1828 is 1/310760.

Greatest Common Factor of 7477,1683

To find the highest common factor of 7477,1683, we have to find the factors of both numbers and list the highest common factor.

The factors of 7477 are 1, 7477

The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

The HCF of 7477,1683 is 1.

Lets's calculate GCF of 7477,1683

Greatest Common Factor (GCF) of 7477,1683 By Common Division

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

Greatest Common Factor of 7477,1683 By Matching Biggest Common Factor Method

Now, list down the factors of 7477

1,7477

Now, list down the factors of 1683

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 7477,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 7477,1683 is 1.

Lets's calculate LCM of 680,1828

Lowest Common Multiple of 680,1828 using Common Division

2	680, 1828
2	340, 914
	170, 457

∴ So the LCM of the given numbers is 2 x 2 x 170 x 457 = 310760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310760

Therefore, the GCF of Fractions 7477/680,1683/1828 is 1/310760

Least Common Multiple of 680,1828 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 680,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,1828) = 4

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

GCF(680,1828) x common factors =4 x 1 = 4

LCM(680,1828) = ( 680 × 1828 ) / 4

LCM(680,1828) = 1243040 / 4

LCM(680,1828) = 310760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7477/680, 1683/1828

1. What is the HCF of 7477,1683?

The HCF of 7477,1683 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 7477/680, 1683/1828?

Answer: GCF of Numerators as per given numbers 7477/680, 1683/1828 is

GCF of Numerators i.e. for 7477,1683 is 1

LCM of denominators i.e. for 680,1828 is 310760.

Thus, GCF of Fractions is 1/310760.Finally, GCF of Fractions for 7477/680, 1683/1828 is 1/310760.