How to Find GCF of 865/190, 4548/924?

GCF of 865/190, 4548/924

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 865/190, 4548/924 i.e 1/87780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/190, 4548/924.

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 865/190,4548/924?

Given fractions are 865/190,4548/924

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 865/190,4548/924, numerators are 865,4548

Denominators are 190,924

The GCF of 865,4548 is 1 .

LCM of 190,924 is 87780.

The greatest common factor of 865/190,4548/924 = [GCF of 865,4548]/[LCM of 190,924]= 1/87780

Therefore, the GCF of 865/190,4548/924 is 1/87780.

Greatest Common Factor of 865,4548

To find the highest common factor of 865,4548, we have to find the factors of both numbers and list the highest common factor.

The factors of 865 are 1, 5, 173, 865

The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

The HCF of 865,4548 is 1.

Lets's calculate GCF of 865,4548

Greatest Common Factor (GCF) of 865,4548 By Common Division

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

Greatest Common Factor of 865,4548 By Matching Biggest Common Factor Method

Now, list down the factors of 865

1,5,173,865

Now, list down the factors of 4548

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Greatest Common Factor

We found the factors 865,4548 . The biggest common factor number is the GCF number.
So the greatest common factor 865,4548 is 1.

Lets's calculate LCM of 190,924

Lowest Common Multiple of 190,924 using Common Division

2	190, 924
	95, 462

∴ So the LCM of the given numbers is 2 x 95 x 462 = 87780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87780

Therefore, the GCF of Fractions 865/190,4548/924 is 1/87780

Least Common Multiple of 190,924 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 190,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,924) = 2

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

GCF(190,924) x common factors =2 x 1 = 2

LCM(190,924) = ( 190 × 924 ) / 2

LCM(190,924) = 175560 / 2

LCM(190,924) = 87780

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 865/190, 4548/924

1. What is the HCF of 865,4548?

The HCF of 865,4548 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 865/190, 4548/924?

Answer: GCF of Numerators as per given numbers 865/190, 4548/924 is

GCF of Numerators i.e. for 865,4548 is 1

LCM of denominators i.e. for 190,924 is 87780.

Thus, GCF of Fractions is 1/87780.Finally, GCF of Fractions for 865/190, 4548/924 is 1/87780.