How to Find GCF of 1501/823, 4661/666?

GCF of 1501/823, 4661/666

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 1501/823, 4661/666 i.e 79/548118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1501/823, 4661/666.

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 1501/823,4661/666?

Given fractions are 1501/823,4661/666

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 1501/823,4661/666, numerators are 1501,4661

Denominators are 823,666

The GCF of 1501,4661 is 79 .

LCM of 823,666 is 548118.

The greatest common factor of 1501/823,4661/666 = [GCF of 1501,4661]/[LCM of 823,666]= 79/548118

Therefore, the GCF of 1501/823,4661/666 is 79/548118.

Greatest Common Factor of 1501,4661

To find the highest common factor of 1501,4661, we have to find the factors of both numbers and list the highest common factor.

The factors of 1501 are 1, 19, 79, 1501

The factors of 4661 are 1, 59, 79, 4661

The HCF of 1501,4661 is 79.

Lets's calculate GCF of 1501,4661

Greatest Common Factor (GCF) of 1501,4661 By Common Division

79	1501, 4661
	19, 59

∴ So the GCF of the given numbers is 79 = 79

Greatest Common Factor of 1501,4661 By Matching Biggest Common Factor Method

Now, list down the factors of 1501

1,19,79,1501

Now, list down the factors of 4661

1,59,79,4661

Greatest Common Factor

We found the factors 1501,4661 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,4661 is 79.

Lets's calculate LCM of 823,666

Lowest Common Multiple of 823,666 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 548118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/548118

Therefore, the GCF of Fractions 1501/823,4661/666 is 79/548118

Least Common Multiple of 823,666 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 823,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,666) = 1

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

GCF(823,666) x common factors =1 x 1 = 1

LCM(823,666) = ( 823 × 666 ) / 1

LCM(823,666) = 548118 / 1

LCM(823,666) = 548118

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FAQs on GCF of Fractions of 1501/823, 4661/666

1. What is the HCF of 1501,4661?

The HCF of 1501,4661 is 79

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 1501/823, 4661/666?

Answer: GCF of Numerators as per given numbers 1501/823, 4661/666 is

GCF of Numerators i.e. for 1501,4661 is 79

LCM of denominators i.e. for 823,666 is 548118.

Thus, GCF of Fractions is 79/548118.Finally, GCF of Fractions for 1501/823, 4661/666 is 79/548118.