How to Find GCF of 9414/464, 2858/2503?

GCF of 9414/464, 2858/2503

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 9414/464, 2858/2503 i.e 2/1161392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9414/464, 2858/2503.

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 9414/464,2858/2503?

Given fractions are 9414/464,2858/2503

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 9414/464,2858/2503, numerators are 9414,2858

Denominators are 464,2503

The GCF of 9414,2858 is 2 .

LCM of 464,2503 is 1161392.

The greatest common factor of 9414/464,2858/2503 = [GCF of 9414,2858]/[LCM of 464,2503]= 2/1161392

Therefore, the GCF of 9414/464,2858/2503 is 2/1161392.

Greatest Common Factor of 9414,2858

To find the highest common factor of 9414,2858, we have to find the factors of both numbers and list the highest common factor.

The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414

The factors of 2858 are 1, 2, 1429, 2858

The HCF of 9414,2858 is 2.

Lets's calculate GCF of 9414,2858

Greatest Common Factor (GCF) of 9414,2858 By Common Division

2	9414, 2858
	4707, 1429

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

Greatest Common Factor of 9414,2858 By Matching Biggest Common Factor Method

Now, list down the factors of 9414

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Now, list down the factors of 2858

1,2,1429,2858

Greatest Common Factor

We found the factors 9414,2858 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,2858 is 2.

Lets's calculate LCM of 464,2503

Lowest Common Multiple of 464,2503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1161392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1161392

Therefore, the GCF of Fractions 9414/464,2858/2503 is 2/1161392

Least Common Multiple of 464,2503 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 464,2503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,2503) = 1

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

GCF(464,2503) x common factors =1 x 1 = 1

LCM(464,2503) = ( 464 × 2503 ) / 1

LCM(464,2503) = 1161392 / 1

LCM(464,2503) = 1161392

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FAQs on GCF of Fractions of 9414/464, 2858/2503

1. What is the HCF of 9414,2858?

The HCF of 9414,2858 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 9414/464, 2858/2503?

Answer: GCF of Numerators as per given numbers 9414/464, 2858/2503 is

GCF of Numerators i.e. for 9414,2858 is 2

LCM of denominators i.e. for 464,2503 is 1161392.

Thus, GCF of Fractions is 2/1161392.Finally, GCF of Fractions for 9414/464, 2858/2503 is 2/1161392.