How to Find GCF of 9285/862, 3583/7828?

GCF of 9285/862, 3583/7828

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 9285/862, 3583/7828 i.e 1/3373868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9285/862, 3583/7828.

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 9285/862,3583/7828?

Given fractions are 9285/862,3583/7828

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 9285/862,3583/7828, numerators are 9285,3583

Denominators are 862,7828

The GCF of 9285,3583 is 1 .

LCM of 862,7828 is 3373868.

The greatest common factor of 9285/862,3583/7828 = [GCF of 9285,3583]/[LCM of 862,7828]= 1/3373868

Therefore, the GCF of 9285/862,3583/7828 is 1/3373868.

Greatest Common Factor of 9285,3583

To find the highest common factor of 9285,3583, we have to find the factors of both numbers and list the highest common factor.

The factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285

The factors of 3583 are 1, 3583

The HCF of 9285,3583 is 1.

Lets's calculate GCF of 9285,3583

Greatest Common Factor (GCF) of 9285,3583 By Common Division

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

Greatest Common Factor of 9285,3583 By Matching Biggest Common Factor Method

Now, list down the factors of 9285

1,3,5,15,619,1857,3095,9285

Now, list down the factors of 3583

1,3583

Greatest Common Factor

We found the factors 9285,3583 . The biggest common factor number is the GCF number.
So the greatest common factor 9285,3583 is 1.

Lets's calculate LCM of 862,7828

Lowest Common Multiple of 862,7828 using Common Division

2	862, 7828
	431, 3914

∴ So the LCM of the given numbers is 2 x 431 x 3914 = 3373868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3373868

Therefore, the GCF of Fractions 9285/862,3583/7828 is 1/3373868

Least Common Multiple of 862,7828 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 862,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,7828) = 2

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

GCF(862,7828) x common factors =2 x 1 = 2

LCM(862,7828) = ( 862 × 7828 ) / 2

LCM(862,7828) = 6747736 / 2

LCM(862,7828) = 3373868

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9285/862, 3583/7828

1. What is the HCF of 9285,3583?

The HCF of 9285,3583 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 9285/862, 3583/7828?

Answer: GCF of Numerators as per given numbers 9285/862, 3583/7828 is

GCF of Numerators i.e. for 9285,3583 is 1

LCM of denominators i.e. for 862,7828 is 3373868.

Thus, GCF of Fractions is 1/3373868.Finally, GCF of Fractions for 9285/862, 3583/7828 is 1/3373868.