How to Find GCF of 1130/463, 2452/3510?

GCF of 1130/463, 2452/3510

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 1130/463, 2452/3510 i.e 2/1625130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1130/463, 2452/3510.

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 1130/463,2452/3510?

Given fractions are 1130/463,2452/3510

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 1130/463,2452/3510, numerators are 1130,2452

Denominators are 463,3510

The GCF of 1130,2452 is 2 .

LCM of 463,3510 is 1625130.

The greatest common factor of 1130/463,2452/3510 = [GCF of 1130,2452]/[LCM of 463,3510]= 2/1625130

Therefore, the GCF of 1130/463,2452/3510 is 2/1625130.

Greatest Common Factor of 1130,2452

To find the highest common factor of 1130,2452, we have to find the factors of both numbers and list the highest common factor.

The factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130

The factors of 2452 are 1, 2, 4, 613, 1226, 2452

The HCF of 1130,2452 is 2.

Lets's calculate GCF of 1130,2452

Greatest Common Factor (GCF) of 1130,2452 By Common Division

2	1130, 2452
	565, 1226

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

Greatest Common Factor of 1130,2452 By Matching Biggest Common Factor Method

Now, list down the factors of 1130

1,2,5,10,113,226,565,1130

Now, list down the factors of 2452

1,2,4,613,1226,2452

Greatest Common Factor

We found the factors 1130,2452 . The biggest common factor number is the GCF number.
So the greatest common factor 1130,2452 is 2.

Lets's calculate LCM of 463,3510

Lowest Common Multiple of 463,3510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1625130

Therefore, the GCF of Fractions 1130/463,2452/3510 is 2/1625130

Least Common Multiple of 463,3510 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 463,3510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,3510) = 1

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

GCF(463,3510) x common factors =1 x 1 = 1

LCM(463,3510) = ( 463 × 3510 ) / 1

LCM(463,3510) = 1625130 / 1

LCM(463,3510) = 1625130

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FAQs on GCF of Fractions of 1130/463, 2452/3510

1. What is the HCF of 1130,2452?

The HCF of 1130,2452 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 1130/463, 2452/3510?

Answer: GCF of Numerators as per given numbers 1130/463, 2452/3510 is

GCF of Numerators i.e. for 1130,2452 is 2

LCM of denominators i.e. for 463,3510 is 1625130.

Thus, GCF of Fractions is 2/1625130.Finally, GCF of Fractions for 1130/463, 2452/3510 is 2/1625130.