How to Find GCF of 2874/380, 9378/9741?

GCF of 2874/380, 9378/9741

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 2874/380, 9378/9741 i.e 6/3701580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2874/380, 9378/9741.

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 2874/380,9378/9741?

Given fractions are 2874/380,9378/9741

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 2874/380,9378/9741, numerators are 2874,9378

Denominators are 380,9741

The GCF of 2874,9378 is 6 .

LCM of 380,9741 is 3701580.

The greatest common factor of 2874/380,9378/9741 = [GCF of 2874,9378]/[LCM of 380,9741]= 6/3701580

Therefore, the GCF of 2874/380,9378/9741 is 6/3701580.

Greatest Common Factor of 2874,9378

To find the highest common factor of 2874,9378, we have to find the factors of both numbers and list the highest common factor.

The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874

The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

The HCF of 2874,9378 is 6.

Lets's calculate GCF of 2874,9378

Greatest Common Factor (GCF) of 2874,9378 By Common Division

2	2874, 9378
3	1437, 4689
	479, 1563

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2874,9378 By Matching Biggest Common Factor Method

Now, list down the factors of 2874

1,2,3,6,479,958,1437,2874

Now, list down the factors of 9378

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Greatest Common Factor

We found the factors 2874,9378 . The biggest common factor number is the GCF number.
So the greatest common factor 2874,9378 is 6.

Lets's calculate LCM of 380,9741

Lowest Common Multiple of 380,9741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3701580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3701580

Therefore, the GCF of Fractions 2874/380,9378/9741 is 6/3701580

Least Common Multiple of 380,9741 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 380,9741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,9741) = 1

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

GCF(380,9741) x common factors =1 x 1 = 1

LCM(380,9741) = ( 380 × 9741 ) / 1

LCM(380,9741) = 3701580 / 1

LCM(380,9741) = 3701580

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FAQs on GCF of Fractions of 2874/380, 9378/9741

1. What is the HCF of 2874,9378?

The HCF of 2874,9378 is 6

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 2874/380, 9378/9741?

Answer: GCF of Numerators as per given numbers 2874/380, 9378/9741 is

GCF of Numerators i.e. for 2874,9378 is 6

LCM of denominators i.e. for 380,9741 is 3701580.

Thus, GCF of Fractions is 6/3701580.Finally, GCF of Fractions for 2874/380, 9378/9741 is 6/3701580.