How to Find GCF of 9418/360, 2562/143?

GCF of 9418/360, 2562/143

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 9418/360, 2562/143 i.e 2/51480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9418/360, 2562/143.

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 9418/360,2562/143?

Given fractions are 9418/360,2562/143

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 9418/360,2562/143, numerators are 9418,2562

Denominators are 360,143

The GCF of 9418,2562 is 2 .

LCM of 360,143 is 51480.

The greatest common factor of 9418/360,2562/143 = [GCF of 9418,2562]/[LCM of 360,143]= 2/51480

Therefore, the GCF of 9418/360,2562/143 is 2/51480.

Greatest Common Factor of 9418,2562

To find the highest common factor of 9418,2562, we have to find the factors of both numbers and list the highest common factor.

The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418

The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562

The HCF of 9418,2562 is 2.

Lets's calculate GCF of 9418,2562

Greatest Common Factor (GCF) of 9418,2562 By Common Division

2	9418, 2562
	4709, 1281

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

Greatest Common Factor of 9418,2562 By Matching Biggest Common Factor Method

Now, list down the factors of 9418

1,2,17,34,277,554,4709,9418

Now, list down the factors of 2562

1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562

Greatest Common Factor

We found the factors 9418,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 9418,2562 is 2.

Lets's calculate LCM of 360,143

Lowest Common Multiple of 360,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 51480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51480

Therefore, the GCF of Fractions 9418/360,2562/143 is 2/51480

Least Common Multiple of 360,143 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 360,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,143) = 1

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

GCF(360,143) x common factors =1 x 1 = 1

LCM(360,143) = ( 360 × 143 ) / 1

LCM(360,143) = 51480 / 1

LCM(360,143) = 51480

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FAQs on GCF of Fractions of 9418/360, 2562/143

1. What is the HCF of 9418,2562?

The HCF of 9418,2562 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 9418/360, 2562/143?

Answer: GCF of Numerators as per given numbers 9418/360, 2562/143 is

GCF of Numerators i.e. for 9418,2562 is 2

LCM of denominators i.e. for 360,143 is 51480.

Thus, GCF of Fractions is 2/51480.Finally, GCF of Fractions for 9418/360, 2562/143 is 2/51480.