How to Find GCF of 1888/495, 4878/5955?

GCF of 1888/495, 4878/5955

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 1888/495, 4878/5955 i.e 2/196515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1888/495, 4878/5955.

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 1888/495,4878/5955?

Given fractions are 1888/495,4878/5955

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 1888/495,4878/5955, numerators are 1888,4878

Denominators are 495,5955

The GCF of 1888,4878 is 2 .

LCM of 495,5955 is 196515.

The greatest common factor of 1888/495,4878/5955 = [GCF of 1888,4878]/[LCM of 495,5955]= 2/196515

Therefore, the GCF of 1888/495,4878/5955 is 2/196515.

Greatest Common Factor of 1888,4878

To find the highest common factor of 1888,4878, we have to find the factors of both numbers and list the highest common factor.

The factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888

The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878

The HCF of 1888,4878 is 2.

Lets's calculate GCF of 1888,4878

Greatest Common Factor (GCF) of 1888,4878 By Common Division

2	1888, 4878
	944, 2439

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

Greatest Common Factor of 1888,4878 By Matching Biggest Common Factor Method

Now, list down the factors of 1888

1,2,4,8,16,32,59,118,236,472,944,1888

Now, list down the factors of 4878

1,2,3,6,9,18,271,542,813,1626,2439,4878

Greatest Common Factor

We found the factors 1888,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 1888,4878 is 2.

Lets's calculate LCM of 495,5955

Lowest Common Multiple of 495,5955 using Common Division

3	495, 5955
5	165, 1985
	33, 397

∴ So the LCM of the given numbers is 3 x 5 x 33 x 397 = 196515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/196515

Therefore, the GCF of Fractions 1888/495,4878/5955 is 2/196515

Least Common Multiple of 495,5955 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 495,5955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,5955) = 15

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

GCF(495,5955) x common factors =15 x 1 = 15

LCM(495,5955) = ( 495 × 5955 ) / 15

LCM(495,5955) = 2947725 / 15

LCM(495,5955) = 196515

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1888/495, 4878/5955

1. What is the HCF of 1888,4878?

The HCF of 1888,4878 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 1888/495, 4878/5955?

Answer: GCF of Numerators as per given numbers 1888/495, 4878/5955 is

GCF of Numerators i.e. for 1888,4878 is 2

LCM of denominators i.e. for 495,5955 is 196515.

Thus, GCF of Fractions is 2/196515.Finally, GCF of Fractions for 1888/495, 4878/5955 is 2/196515.