How to Find GCF of 899/661, 690/104?

GCF of 899/661, 690/104

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 899/661, 690/104 i.e 1/68744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/661, 690/104.

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 899/661,690/104?

Given fractions are 899/661,690/104

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 899/661,690/104, numerators are 899,690

Denominators are 661,104

The GCF of 899,690 is 1 .

LCM of 661,104 is 68744.

The greatest common factor of 899/661,690/104 = [GCF of 899,690]/[LCM of 661,104]= 1/68744

Therefore, the GCF of 899/661,690/104 is 1/68744.

Greatest Common Factor of 899,690

To find the highest common factor of 899,690, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The HCF of 899,690 is 1.

Lets's calculate GCF of 899,690

Greatest Common Factor (GCF) of 899,690 By Common Division

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

Greatest Common Factor of 899,690 By Matching Biggest Common Factor Method

Now, list down the factors of 899

1,29,31,899

Now, list down the factors of 690

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 899,690 . The biggest common factor number is the GCF number.
So the greatest common factor 899,690 is 1.

Lets's calculate LCM of 661,104

Lowest Common Multiple of 661,104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 68744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68744

Therefore, the GCF of Fractions 899/661,690/104 is 1/68744

Least Common Multiple of 661,104 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 661,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,104) = 1

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

GCF(661,104) x common factors =1 x 1 = 1

LCM(661,104) = ( 661 × 104 ) / 1

LCM(661,104) = 68744 / 1

LCM(661,104) = 68744

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FAQs on GCF of Fractions of 899/661, 690/104

1. What is the HCF of 899,690?

The HCF of 899,690 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 899/661, 690/104?

Answer: GCF of Numerators as per given numbers 899/661, 690/104 is

GCF of Numerators i.e. for 899,690 is 1

LCM of denominators i.e. for 661,104 is 68744.

Thus, GCF of Fractions is 1/68744.Finally, GCF of Fractions for 899/661, 690/104 is 1/68744.