How to Find GCF of 9070/498, 8489/5637?

GCF of 9070/498, 8489/5637

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 9070/498, 8489/5637 i.e 1/935742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9070/498, 8489/5637.

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 9070/498,8489/5637?

Given fractions are 9070/498,8489/5637

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 9070/498,8489/5637, numerators are 9070,8489

Denominators are 498,5637

The GCF of 9070,8489 is 1 .

LCM of 498,5637 is 935742.

The greatest common factor of 9070/498,8489/5637 = [GCF of 9070,8489]/[LCM of 498,5637]= 1/935742

Therefore, the GCF of 9070/498,8489/5637 is 1/935742.

Greatest Common Factor of 9070,8489

To find the highest common factor of 9070,8489, we have to find the factors of both numbers and list the highest common factor.

The factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070

The factors of 8489 are 1, 13, 653, 8489

The HCF of 9070,8489 is 1.

Lets's calculate GCF of 9070,8489

Greatest Common Factor (GCF) of 9070,8489 By Common Division

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

Greatest Common Factor of 9070,8489 By Matching Biggest Common Factor Method

Now, list down the factors of 9070

1,2,5,10,907,1814,4535,9070

Now, list down the factors of 8489

1,13,653,8489

Greatest Common Factor

We found the factors 9070,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,8489 is 1.

Lets's calculate LCM of 498,5637

Lowest Common Multiple of 498,5637 using Common Division

3	498, 5637
	166, 1879

∴ So the LCM of the given numbers is 3 x 166 x 1879 = 935742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935742

Therefore, the GCF of Fractions 9070/498,8489/5637 is 1/935742

Least Common Multiple of 498,5637 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 498,5637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,5637) = 3

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

GCF(498,5637) x common factors =3 x 1 = 3

LCM(498,5637) = ( 498 × 5637 ) / 3

LCM(498,5637) = 2807226 / 3

LCM(498,5637) = 935742

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FAQs on GCF of Fractions of 9070/498, 8489/5637

1. What is the HCF of 9070,8489?

The HCF of 9070,8489 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 9070/498, 8489/5637?

Answer: GCF of Numerators as per given numbers 9070/498, 8489/5637 is

GCF of Numerators i.e. for 9070,8489 is 1

LCM of denominators i.e. for 498,5637 is 935742.

Thus, GCF of Fractions is 1/935742.Finally, GCF of Fractions for 9070/498, 8489/5637 is 1/935742.