How to Find GCF of 2492/360, 8947/638?

GCF of 2492/360, 8947/638

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 2492/360, 8947/638 i.e 1/114840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2492/360, 8947/638.

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 2492/360,8947/638?

Given fractions are 2492/360,8947/638

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 2492/360,8947/638, numerators are 2492,8947

Denominators are 360,638

The GCF of 2492,8947 is 1 .

LCM of 360,638 is 114840.

The greatest common factor of 2492/360,8947/638 = [GCF of 2492,8947]/[LCM of 360,638]= 1/114840

Therefore, the GCF of 2492/360,8947/638 is 1/114840.

Greatest Common Factor of 2492,8947

To find the highest common factor of 2492,8947, we have to find the factors of both numbers and list the highest common factor.

The factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492

The factors of 8947 are 1, 23, 389, 8947

The HCF of 2492,8947 is 1.

Lets's calculate GCF of 2492,8947

Greatest Common Factor (GCF) of 2492,8947 By Common Division

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

Greatest Common Factor of 2492,8947 By Matching Biggest Common Factor Method

Now, list down the factors of 2492

1,2,4,7,14,28,89,178,356,623,1246,2492

Now, list down the factors of 8947

1,23,389,8947

Greatest Common Factor

We found the factors 2492,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 2492,8947 is 1.

Lets's calculate LCM of 360,638

Lowest Common Multiple of 360,638 using Common Division

2	360, 638
	180, 319

∴ So the LCM of the given numbers is 2 x 180 x 319 = 114840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114840

Therefore, the GCF of Fractions 2492/360,8947/638 is 1/114840

Least Common Multiple of 360,638 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 360,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,638) = 2

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

GCF(360,638) x common factors =2 x 1 = 2

LCM(360,638) = ( 360 × 638 ) / 2

LCM(360,638) = 229680 / 2

LCM(360,638) = 114840

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FAQs on GCF of Fractions of 2492/360, 8947/638

1. What is the HCF of 2492,8947?

The HCF of 2492,8947 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 2492/360, 8947/638?

Answer: GCF of Numerators as per given numbers 2492/360, 8947/638 is

GCF of Numerators i.e. for 2492,8947 is 1

LCM of denominators i.e. for 360,638 is 114840.

Thus, GCF of Fractions is 1/114840.Finally, GCF of Fractions for 2492/360, 8947/638 is 1/114840.