How to Find GCF of 90/286, 7580/9917?

GCF of 90/286, 7580/9917

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 90/286, 7580/9917 i.e 10/2836262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/286, 7580/9917.

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 90/286,7580/9917?

Given fractions are 90/286,7580/9917

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 90/286,7580/9917, numerators are 90,7580

Denominators are 286,9917

The GCF of 90,7580 is 10 .

LCM of 286,9917 is 2836262.

The greatest common factor of 90/286,7580/9917 = [GCF of 90,7580]/[LCM of 286,9917]= 10/2836262

Therefore, the GCF of 90/286,7580/9917 is 10/2836262.

Greatest Common Factor of 90,7580

To find the highest common factor of 90,7580, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

The HCF of 90,7580 is 10.

Lets's calculate GCF of 90,7580

Greatest Common Factor (GCF) of 90,7580 By Common Division

2	90, 7580
5	45, 3790
	9, 758

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 90,7580 By Matching Biggest Common Factor Method

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 7580

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Greatest Common Factor

We found the factors 90,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7580 is 10.

Lets's calculate LCM of 286,9917

Lowest Common Multiple of 286,9917 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2836262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2836262

Therefore, the GCF of Fractions 90/286,7580/9917 is 10/2836262

Least Common Multiple of 286,9917 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 286,9917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,9917) = 1

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

GCF(286,9917) x common factors =1 x 1 = 1

LCM(286,9917) = ( 286 × 9917 ) / 1

LCM(286,9917) = 2836262 / 1

LCM(286,9917) = 2836262

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FAQs on GCF of Fractions of 90/286, 7580/9917

1. What is the HCF of 90,7580?

The HCF of 90,7580 is 10

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 90/286, 7580/9917?

Answer: GCF of Numerators as per given numbers 90/286, 7580/9917 is

GCF of Numerators i.e. for 90,7580 is 10

LCM of denominators i.e. for 286,9917 is 2836262.

Thus, GCF of Fractions is 10/2836262.Finally, GCF of Fractions for 90/286, 7580/9917 is 10/2836262.