How to Find GCF of 1881/760, 4672/2924?

GCF of 1881/760, 4672/2924

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 1881/760, 4672/2924 i.e 1/555560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1881/760, 4672/2924.

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 1881/760,4672/2924?

Given fractions are 1881/760,4672/2924

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 1881/760,4672/2924, numerators are 1881,4672

Denominators are 760,2924

The GCF of 1881,4672 is 1 .

LCM of 760,2924 is 555560.

The greatest common factor of 1881/760,4672/2924 = [GCF of 1881,4672]/[LCM of 760,2924]= 1/555560

Therefore, the GCF of 1881/760,4672/2924 is 1/555560.

Greatest Common Factor of 1881,4672

To find the highest common factor of 1881,4672, we have to find the factors of both numbers and list the highest common factor.

The factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881

The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

The HCF of 1881,4672 is 1.

Lets's calculate GCF of 1881,4672

Greatest Common Factor (GCF) of 1881,4672 By Common Division

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

Greatest Common Factor of 1881,4672 By Matching Biggest Common Factor Method

Now, list down the factors of 1881

1,3,9,11,19,33,57,99,171,209,627,1881

Now, list down the factors of 4672

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors 1881,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 1881,4672 is 1.

Lets's calculate LCM of 760,2924

Lowest Common Multiple of 760,2924 using Common Division

2	760, 2924
2	380, 1462
	190, 731

∴ So the LCM of the given numbers is 2 x 2 x 190 x 731 = 555560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555560

Therefore, the GCF of Fractions 1881/760,4672/2924 is 1/555560

Least Common Multiple of 760,2924 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 760,2924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,2924) = 4

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

GCF(760,2924) x common factors =4 x 1 = 4

LCM(760,2924) = ( 760 × 2924 ) / 4

LCM(760,2924) = 2222240 / 4

LCM(760,2924) = 555560

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FAQs on GCF of Fractions of 1881/760, 4672/2924

1. What is the HCF of 1881,4672?

The HCF of 1881,4672 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 1881/760, 4672/2924?

Answer: GCF of Numerators as per given numbers 1881/760, 4672/2924 is

GCF of Numerators i.e. for 1881,4672 is 1

LCM of denominators i.e. for 760,2924 is 555560.

Thus, GCF of Fractions is 1/555560.Finally, GCF of Fractions for 1881/760, 4672/2924 is 1/555560.