How to Find GCF of 7666/188, 4643/6820?

GCF of 7666/188, 4643/6820

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 7666/188, 4643/6820 i.e 1/320540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7666/188, 4643/6820.

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 7666/188,4643/6820?

Given fractions are 7666/188,4643/6820

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 7666/188,4643/6820, numerators are 7666,4643

Denominators are 188,6820

The GCF of 7666,4643 is 1 .

LCM of 188,6820 is 320540.

The greatest common factor of 7666/188,4643/6820 = [GCF of 7666,4643]/[LCM of 188,6820]= 1/320540

Therefore, the GCF of 7666/188,4643/6820 is 1/320540.

Greatest Common Factor of 7666,4643

To find the highest common factor of 7666,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 7666 are 1, 2, 3833, 7666

The factors of 4643 are 1, 4643

The HCF of 7666,4643 is 1.

Lets's calculate GCF of 7666,4643

Greatest Common Factor (GCF) of 7666,4643 By Common Division

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

Greatest Common Factor of 7666,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 7666

1,2,3833,7666

Now, list down the factors of 4643

1,4643

Greatest Common Factor

We found the factors 7666,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 7666,4643 is 1.

Lets's calculate LCM of 188,6820

Lowest Common Multiple of 188,6820 using Common Division

2	188, 6820
2	94, 3410
	47, 1705

∴ So the LCM of the given numbers is 2 x 2 x 47 x 1705 = 320540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320540

Therefore, the GCF of Fractions 7666/188,4643/6820 is 1/320540

Least Common Multiple of 188,6820 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 188,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,6820) = 4

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

GCF(188,6820) x common factors =4 x 1 = 4

LCM(188,6820) = ( 188 × 6820 ) / 4

LCM(188,6820) = 1282160 / 4

LCM(188,6820) = 320540

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FAQs on GCF of Fractions of 7666/188, 4643/6820

1. What is the HCF of 7666,4643?

The HCF of 7666,4643 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 7666/188, 4643/6820?

Answer: GCF of Numerators as per given numbers 7666/188, 4643/6820 is

GCF of Numerators i.e. for 7666,4643 is 1

LCM of denominators i.e. for 188,6820 is 320540.

Thus, GCF of Fractions is 1/320540.Finally, GCF of Fractions for 7666/188, 4643/6820 is 1/320540.