How to Find GCF of 3145/210, 8644/630?

GCF of 3145/210, 8644/630

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 3145/210, 8644/630 i.e 1/630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3145/210, 8644/630.

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 3145/210,8644/630?

Given fractions are 3145/210,8644/630

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 3145/210,8644/630, numerators are 3145,8644

Denominators are 210,630

The GCF of 3145,8644 is 1 .

LCM of 210,630 is 630.

The greatest common factor of 3145/210,8644/630 = [GCF of 3145,8644]/[LCM of 210,630]= 1/630

Therefore, the GCF of 3145/210,8644/630 is 1/630.

Greatest Common Factor of 3145,8644

To find the highest common factor of 3145,8644, we have to find the factors of both numbers and list the highest common factor.

The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145

The factors of 8644 are 1, 2, 4, 2161, 4322, 8644

The HCF of 3145,8644 is 1.

Lets's calculate GCF of 3145,8644

Greatest Common Factor (GCF) of 3145,8644 By Common Division

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

Greatest Common Factor of 3145,8644 By Matching Biggest Common Factor Method

Now, list down the factors of 3145

1,5,17,37,85,185,629,3145

Now, list down the factors of 8644

1,2,4,2161,4322,8644

Greatest Common Factor

We found the factors 3145,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,8644 is 1.

Lets's calculate LCM of 210,630

Lowest Common Multiple of 210,630 using Common Division

2	210, 630
3	105, 315
5	35, 105
7	7, 21
	1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 3 = 630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630

Therefore, the GCF of Fractions 3145/210,8644/630 is 1/630

Least Common Multiple of 210,630 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 210,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,630) = 210

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

GCF(210,630) x common factors =210 x 1 = 210

LCM(210,630) = ( 210 × 630 ) / 210

LCM(210,630) = 132300 / 210

LCM(210,630) = 630

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FAQs on GCF of Fractions of 3145/210, 8644/630

1. What is the HCF of 3145,8644?

The HCF of 3145,8644 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 3145/210, 8644/630?

Answer: GCF of Numerators as per given numbers 3145/210, 8644/630 is

GCF of Numerators i.e. for 3145,8644 is 1

LCM of denominators i.e. for 210,630 is 630.

Thus, GCF of Fractions is 1/630.Finally, GCF of Fractions for 3145/210, 8644/630 is 1/630.