How to Find GCF of 5504/390, 6415/8990?

GCF of 5504/390, 6415/8990

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 5504/390, 6415/8990 i.e 1/350610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5504/390, 6415/8990.

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 5504/390,6415/8990?

Given fractions are 5504/390,6415/8990

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 5504/390,6415/8990, numerators are 5504,6415

Denominators are 390,8990

The GCF of 5504,6415 is 1 .

LCM of 390,8990 is 350610.

The greatest common factor of 5504/390,6415/8990 = [GCF of 5504,6415]/[LCM of 390,8990]= 1/350610

Therefore, the GCF of 5504/390,6415/8990 is 1/350610.

Greatest Common Factor of 5504,6415

To find the highest common factor of 5504,6415, we have to find the factors of both numbers and list the highest common factor.

The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504

The factors of 6415 are 1, 5, 1283, 6415

The HCF of 5504,6415 is 1.

Lets's calculate GCF of 5504,6415

Greatest Common Factor (GCF) of 5504,6415 By Common Division

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

Greatest Common Factor of 5504,6415 By Matching Biggest Common Factor Method

Now, list down the factors of 5504

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Now, list down the factors of 6415

1,5,1283,6415

Greatest Common Factor

We found the factors 5504,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 5504,6415 is 1.

Lets's calculate LCM of 390,8990

Lowest Common Multiple of 390,8990 using Common Division

2	390, 8990
5	195, 4495
	39, 899

∴ So the LCM of the given numbers is 2 x 5 x 39 x 899 = 350610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350610

Therefore, the GCF of Fractions 5504/390,6415/8990 is 1/350610

Least Common Multiple of 390,8990 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 390,8990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,8990) = 10

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

GCF(390,8990) x common factors =10 x 1 = 10

LCM(390,8990) = ( 390 × 8990 ) / 10

LCM(390,8990) = 3506100 / 10

LCM(390,8990) = 350610

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FAQs on GCF of Fractions of 5504/390, 6415/8990

1. What is the HCF of 5504,6415?

The HCF of 5504,6415 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 5504/390, 6415/8990?

Answer: GCF of Numerators as per given numbers 5504/390, 6415/8990 is

GCF of Numerators i.e. for 5504,6415 is 1

LCM of denominators i.e. for 390,8990 is 350610.

Thus, GCF of Fractions is 1/350610.Finally, GCF of Fractions for 5504/390, 6415/8990 is 1/350610.