How to Find GCF of 3766/225, 1504/661?

GCF of 3766/225, 1504/661

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 3766/225, 1504/661 i.e 2/148725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3766/225, 1504/661.

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 3766/225,1504/661?

Given fractions are 3766/225,1504/661

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 3766/225,1504/661, numerators are 3766,1504

Denominators are 225,661

The GCF of 3766,1504 is 2 .

LCM of 225,661 is 148725.

The greatest common factor of 3766/225,1504/661 = [GCF of 3766,1504]/[LCM of 225,661]= 2/148725

Therefore, the GCF of 3766/225,1504/661 is 2/148725.

Greatest Common Factor of 3766,1504

To find the highest common factor of 3766,1504, we have to find the factors of both numbers and list the highest common factor.

The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766

The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

The HCF of 3766,1504 is 2.

Lets's calculate GCF of 3766,1504

Greatest Common Factor (GCF) of 3766,1504 By Common Division

2	3766, 1504
	1883, 752

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

Greatest Common Factor of 3766,1504 By Matching Biggest Common Factor Method

Now, list down the factors of 3766

1,2,7,14,269,538,1883,3766

Now, list down the factors of 1504

1,2,4,8,16,32,47,94,188,376,752,1504

Greatest Common Factor

We found the factors 3766,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 3766,1504 is 2.

Lets's calculate LCM of 225,661

Lowest Common Multiple of 225,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148725

Therefore, the GCF of Fractions 3766/225,1504/661 is 2/148725

Least Common Multiple of 225,661 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 225,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,661) = 1

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

GCF(225,661) x common factors =1 x 1 = 1

LCM(225,661) = ( 225 × 661 ) / 1

LCM(225,661) = 148725 / 1

LCM(225,661) = 148725

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3766/225, 1504/661

1. What is the HCF of 3766,1504?

The HCF of 3766,1504 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 3766/225, 1504/661?

Answer: GCF of Numerators as per given numbers 3766/225, 1504/661 is

GCF of Numerators i.e. for 3766,1504 is 2

LCM of denominators i.e. for 225,661 is 148725.

Thus, GCF of Fractions is 2/148725.Finally, GCF of Fractions for 3766/225, 1504/661 is 2/148725.