How to Find GCF of 12/200, 35/276, 661/564?

GCF of 12/200, 35/276, 661/564

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 12/200, 35/276, 661/564 i.e 1/648600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/200, 35/276, 661/564.

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 12/200,35/276,661/564?

Given fractions are 12/200,35/276,661/564

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 12/200,35/276,661/564, numerators are 12,35,661

Denominators are 200,276,564

The GCF of 12,35,661 is 1 .

LCM of 200,276,564 is 648600.

The greatest common factor of 12/200,35/276,661/564 = [GCF of 12,35,661]/[LCM of 200,276,564]= 1/648600

Therefore, the GCF of 12/200,35/276,661/564 is 1/648600.

Greatest Common Factor of 12,35,661

To find the highest common factor of 12,35,661, we have to find the factors of both numbers and list the highest common factor.

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 35 are 1, 5, 7, 35

The factors of 661 are 1, 661

The HCF of 12,35,661 is 1.

Lets's calculate GCF of 12,35,661

Greatest Common Factor (GCF) of 12,35,661 By Common Division

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

Greatest Common Factor of 12,35,661 By Matching Biggest Common Factor Method

Now, list down the factors of 12

1,2,3,4,6,12

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 661

1,661

Greatest Common Factor

We found the factors 12,35,661 . The biggest common factor number is the GCF number.
So the greatest common factor 12,35,661 is 1.

Lets's calculate LCM of 200,276,564

Lowest Common Multiple of 200,276,564 using Common Division

2	200, 276, 564
2	100, 138, 282
3	50, 69, 141
	50, 23, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 23 x 47 = 648600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648600

Therefore, the GCF of Fractions 12/200,35/276,661/564 is 1/648600

Least Common Multiple of 200,276,564 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 200,276,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,276,564) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(200,276,564) x common factors =4 x 12 = 48

LCM(200,276,564) = ( 200 × 276 × 564 ) / 48

LCM(200,276,564) = 31132800 / 48

LCM(200,276,564) = 648600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 12/200, 35/276, 661/564

1. What is the HCF of 12,35,661?

The HCF of 12,35,661 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 12/200, 35/276, 661/564?

Answer: GCF of Numerators as per given numbers 12/200, 35/276, 661/564 is

GCF of Numerators i.e. for 12,35,661 is 1

LCM of denominators i.e. for 200,276,564 is 648600.

Thus, GCF of Fractions is 1/648600.Finally, GCF of Fractions for 12/200, 35/276, 661/564 is 1/648600.