How to Find GCF of 1205/610, 3432/2262?

GCF of 1205/610, 3432/2262

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 1205/610, 3432/2262 i.e 1/689910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1205/610, 3432/2262.

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 1205/610,3432/2262?

Given fractions are 1205/610,3432/2262

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 1205/610,3432/2262, numerators are 1205,3432

Denominators are 610,2262

The GCF of 1205,3432 is 1 .

LCM of 610,2262 is 689910.

The greatest common factor of 1205/610,3432/2262 = [GCF of 1205,3432]/[LCM of 610,2262]= 1/689910

Therefore, the GCF of 1205/610,3432/2262 is 1/689910.

Greatest Common Factor of 1205,3432

To find the highest common factor of 1205,3432, we have to find the factors of both numbers and list the highest common factor.

The factors of 1205 are 1, 5, 241, 1205

The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432

The HCF of 1205,3432 is 1.

Lets's calculate GCF of 1205,3432

Greatest Common Factor (GCF) of 1205,3432 By Common Division

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

Greatest Common Factor of 1205,3432 By Matching Biggest Common Factor Method

Now, list down the factors of 1205

1,5,241,1205

Now, list down the factors of 3432

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 1205,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 1205,3432 is 1.

Lets's calculate LCM of 610,2262

Lowest Common Multiple of 610,2262 using Common Division

2	610, 2262
	305, 1131

∴ So the LCM of the given numbers is 2 x 305 x 1131 = 689910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689910

Therefore, the GCF of Fractions 1205/610,3432/2262 is 1/689910

Least Common Multiple of 610,2262 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 610,2262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,2262) = 2

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

GCF(610,2262) x common factors =2 x 1 = 2

LCM(610,2262) = ( 610 × 2262 ) / 2

LCM(610,2262) = 1379820 / 2

LCM(610,2262) = 689910

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FAQs on GCF of Fractions of 1205/610, 3432/2262

1. What is the HCF of 1205,3432?

The HCF of 1205,3432 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 1205/610, 3432/2262?

Answer: GCF of Numerators as per given numbers 1205/610, 3432/2262 is

GCF of Numerators i.e. for 1205,3432 is 1

LCM of denominators i.e. for 610,2262 is 689910.

Thus, GCF of Fractions is 1/689910.Finally, GCF of Fractions for 1205/610, 3432/2262 is 1/689910.