How to Find GCF of 4540/935, 6646/6652?

GCF of 4540/935, 6646/6652

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 4540/935, 6646/6652 i.e 2/6219620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4540/935, 6646/6652.

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 4540/935,6646/6652?

Given fractions are 4540/935,6646/6652

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 4540/935,6646/6652, numerators are 4540,6646

Denominators are 935,6652

The GCF of 4540,6646 is 2 .

LCM of 935,6652 is 6219620.

The greatest common factor of 4540/935,6646/6652 = [GCF of 4540,6646]/[LCM of 935,6652]= 2/6219620

Therefore, the GCF of 4540/935,6646/6652 is 2/6219620.

Greatest Common Factor of 4540,6646

To find the highest common factor of 4540,6646, we have to find the factors of both numbers and list the highest common factor.

The factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

The factors of 6646 are 1, 2, 3323, 6646

The HCF of 4540,6646 is 2.

Lets's calculate GCF of 4540,6646

Greatest Common Factor (GCF) of 4540,6646 By Common Division

2	4540, 6646
	2270, 3323

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4540,6646 By Matching Biggest Common Factor Method

Now, list down the factors of 4540

1,2,4,5,10,20,227,454,908,1135,2270,4540

Now, list down the factors of 6646

1,2,3323,6646

Greatest Common Factor

We found the factors 4540,6646 . The biggest common factor number is the GCF number.
So the greatest common factor 4540,6646 is 2.

Lets's calculate LCM of 935,6652

Lowest Common Multiple of 935,6652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6219620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6219620

Therefore, the GCF of Fractions 4540/935,6646/6652 is 2/6219620

Least Common Multiple of 935,6652 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 935,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,6652) = 1

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

GCF(935,6652) x common factors =1 x 1 = 1

LCM(935,6652) = ( 935 × 6652 ) / 1

LCM(935,6652) = 6219620 / 1

LCM(935,6652) = 6219620

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FAQs on GCF of Fractions of 4540/935, 6646/6652

1. What is the HCF of 4540,6646?

The HCF of 4540,6646 is 2

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 4540/935, 6646/6652?

Answer: GCF of Numerators as per given numbers 4540/935, 6646/6652 is

GCF of Numerators i.e. for 4540,6646 is 2

LCM of denominators i.e. for 935,6652 is 6219620.

Thus, GCF of Fractions is 2/6219620.Finally, GCF of Fractions for 4540/935, 6646/6652 is 2/6219620.